• Re: ZFC solution to incorrect questions: reject them

    From Richard Damon@21:1/5 to olcott on Tue Mar 12 11:00:11 2024
    On 3/12/24 8:52 AM, olcott wrote:

    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    There is some input TMD to every H such that
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    When we disallow decider/input pairs that are incorrect
    questions where both YES and NO are the wrong answer
    (the same way the ZFC disallowed self-referential sets) then
    pathological inputs are not allowed to come into existence.

    Does the barber that shaves everyone that does not shave
    themselves shave himself? is rejected as an incorrect question. https://en.wikipedia.org/wiki/Barber_paradox#


    And ZFC says that H is NOT the "Set of Turing Machines" but a single
    element of it at a time.

    There is no problem with making a H^ from an H, it is built from totally
    legal steps.

    The fact that it shows that any H you can contruct will get this problem
    wrong, proves the Halting Mapping is uncomputable, not non-existant.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Tue Mar 12 19:31:00 2024
    XPost: sci.logic

    On 12/03/24 19:12, olcott wrote:
    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    There is some input TMD to every H such that
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    And it can be a different TMD to each H.

    When we disallow decider/input pairs that are incorrect
    questions where both YES and NO are the wrong answer

    Once we understand that either YES or NO is the right answer, the whole rebuttal is tossed out as invalid and incorrect.

    Does the barber that shaves everyone that does not shave
    themselves shave himself? is rejected as an incorrect question.

    The barber does not exist. The following is true statement:

    ∀ Barber ∈ People. ¬(∀ Person ∈ People. Shaves(Barber, Person) ⇔ ¬Shaves(Person, Person))

    The following is a true statement:

    ¬∃ Barber ∈ People. (∀ Person ∈ People. Shaves(Barber, Person) ⇔ ¬Shaves(Person, Person))

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Tue Mar 12 11:41:06 2024
    XPost: sci.logic

    On 3/12/24 11:12 AM, olcott wrote:
    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    There is some input TMD to every H such that
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    When we disallow decider/input pairs that are incorrect
    questions where both YES and NO are the wrong answer
    (the same way the ZFC disallowed self-referential sets) then
    pathological inputs are not allowed to come into existence.

    But each of the questions in your set, that for each H^ built on each
    SPECIFIC H, there is a correct answer, just not the one that H gives, so
    the ALL the questions are correct.


    Does the barber that shaves everyone that does not shave
    themselves shave himself? is rejected as an incorrect question. https://en.wikipedia.org/wiki/Barber_paradox#


    RED HERRING.

    H^ does not "reference" the decider H that you paired it with, it has a
    copy of it, so when we examine the question, and modulate the decider to
    see if a correct answer is possible, we see that it is, since the input
    still keeps its original behavior.

    You are just proving your utter stupidity and lack of understanding of
    how any of this works.

    Likely cause by your using Zeroth order principle and thus not actually knowing what you are talking about, but are just parroting the words you
    have seen.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Tue Mar 12 13:07:37 2024
    XPost: sci.logic

    On 3/12/24 12:57 PM, olcott wrote:
    On 3/12/2024 1:41 PM, Richard Damon wrote:
    On 3/12/24 11:12 AM, olcott wrote:
    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    There is some input TMD to every H such that
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    When we disallow decider/input pairs that are incorrect
    questions where both YES and NO are the wrong answer
    (the same way the ZFC disallowed self-referential sets) then
    pathological inputs are not allowed to come into existence.

    But each of the questions in your set, that for each H^ built on each
    SPECIFIC H, there is a correct answer, just not the one that H gives,
    so the ALL the questions are correct.


    *Halts(TMD) means true if TMD actually halts and false otherwise*
    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    (H TMD ⊢* H.qy != Halts(TMD)) ∧ (H TMD ⊢* H.qn != Halts(TMD))

    The questions in my set are only the H/TMD pairs specified above.


    Right, so for Each H, we can find a TMD, which could be the H^ built on
    THAT H.

    then if H goes to qy, then HALTS(TMD) is false, so that H was wrong, but
    there was a correct answer.

    and if H goes to qn, then HALTD(TMD) is true, so that H was wrong, but
    there was a correct answer.

    So, for EACH INDIVIDUAL H, which is what the conditions look at, there
    IS a correct answer for that input we foud, just not the one that THAT H
    gave.


    No one claims that no Halt Decider can get any correct decisions, which
    seems to be what you are trying to claim.

    You don't seem to understand logical categorical operations.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Tue Mar 12 23:11:16 2024
    XPost: sci.logic

    On 12/03/24 22:34, olcott wrote:
    Every decider/input pair (referenced in the above set) has a
    corresponding decider/input pair that only differs by the return
    value of its decider.

    That both of these decider/input pairs get the wrong answer proves
    that their question was incorrect because the opposite answer to the
    same question is also proven to be incorrect.

    It's become obvious that you don't understand what "correct answer" means.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Tue Mar 12 15:30:38 2024
    XPost: sci.logic

    On 3/12/24 2:34 PM, olcott wrote:
    On 3/12/2024 4:23 PM, Richard Damon wrote:
    On 3/12/24 1:11 PM, olcott wrote:
    On 3/12/2024 2:40 PM, Richard Damon wrote:
    On 3/12/24 12:02 PM, olcott wrote:
    On 3/12/2024 1:31 PM, immibis wrote:
    On 12/03/24 19:12, olcott wrote:
    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    There is some input TMD to every H such that
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    And it can be a different TMD to each H.

    When we disallow decider/input pairs that are incorrect
    questions where both YES and NO are the wrong answer

    Once we understand that either YES or NO is the right answer, the
    whole rebuttal is tossed out as invalid and incorrect.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    BOTH YES AND NO ARE THE WRONG ANSWER FOR EVERY Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ >>>>
    No, because a given H will only go to one of the answers. THAT will
    be wrong, and the other one right.


    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Not exactly. A pair of otherwise identical machines that
    (that are contained within the above specified set)
    only differ by return value will both be wrong on the
    same pathological input.

    You mean a pair of DIFFERENT machines. Any difference is different.

    Every decider/input pair (referenced in the above set) has a
    corresponding decider/input pair that only differs by the return
    value of its decider.

    Nope.

    Lets break it down.

    FIRST, we go through each of the H's due to:

    ∀ H ∈ Turing_Machine_Deciders

    Then for Each of them we find that we can find an input, that might be a different input of each decider:

    ∃ TMD ∈ Turing_Machine_Descriptions

    The Results of which, that decider give a wrong answer for that input:

    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    So, in no case do we have an assertioig that it is the SAME input for
    anytwo deciders that we chose.

    Thus, you have NO basis for you claim that there is ANY pairing of two deciders, that answer differently of getting the same input.


    That both of these decider/input pairs get the wrong answer proves
    that their question was incorrect because the opposite answer to the
    same question is also proven to be incorrect.


    But that isn't claimed, so your logic is baseless.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Wed Mar 13 00:05:31 2024
    XPost: sci.logic

    On 12/03/24 23:53, olcott wrote:
    On 3/12/2024 5:30 PM, Richard Damon wrote:
    On 3/12/24 2:34 PM, olcott wrote:
    On 3/12/2024 4:23 PM, Richard Damon wrote:
    On 3/12/24 1:11 PM, olcott wrote:
    Not exactly. A pair of otherwise identical machines that
    (that are contained within the above specified set)
    only differ by return value will both be wrong on the
    same pathological input.

    You mean a pair of DIFFERENT machines. Any difference is different.

    Every decider/input pair (referenced in the above set) has a
    corresponding decider/input pair that only differs by the return
    value of its decider.

    Nope.

    ∀ H ∈ Turing_Machines_Returning_Boolean
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Every H/TMD pair (referenced in the above set) has a
    corresponding H/TMD pair that only differs by the return
    value of its Boolean_TM.

    That both of these H/TMD pairs get the wrong answer proves that
    their question was incorrect because the opposite answer to the
    same question is also proven to be incorrect.


    Nobody knows what the fuck you are talking about. You have to actually
    explain it. The same machine always gives the same return value on the
    same input.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Tue Mar 12 16:11:33 2024
    XPost: sci.logic

    On 3/12/24 3:53 PM, olcott wrote:
    On 3/12/2024 5:30 PM, Richard Damon wrote:
    On 3/12/24 2:34 PM, olcott wrote:
    On 3/12/2024 4:23 PM, Richard Damon wrote:
    On 3/12/24 1:11 PM, olcott wrote:
    On 3/12/2024 2:40 PM, Richard Damon wrote:
    On 3/12/24 12:02 PM, olcott wrote:
    On 3/12/2024 1:31 PM, immibis wrote:
    On 12/03/24 19:12, olcott wrote:
    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    There is some input TMD to every H such that
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    And it can be a different TMD to each H.

    When we disallow decider/input pairs that are incorrect
    questions where both YES and NO are the wrong answer

    Once we understand that either YES or NO is the right answer,
    the whole rebuttal is tossed out as invalid and incorrect.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not
    halt
    BOTH YES AND NO ARE THE WRONG ANSWER FOR EVERY Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ >>>>>>
    No, because a given H will only go to one of the answers. THAT
    will be wrong, and the other one right.


    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Not exactly. A pair of otherwise identical machines that
    (that are contained within the above specified set)
    only differ by return value will both be wrong on the
    same pathological input.

    You mean a pair of DIFFERENT machines. Any difference is different.

    Every decider/input pair (referenced in the above set) has a
    corresponding decider/input pair that only differs by the return
    value of its decider.

    Nope.

    ∀ H ∈ Turing_Machines_Returning_Boolean
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Every H/TMD pair (referenced in the above set) has a
    corresponding H/TMD pair that only differs by the return
    value of its Boolean_TM.

    That isn't in the set above.


    That both of these H/TMD pairs get the wrong answer proves that
    their question was incorrect because the opposite answer to the
    same question is also proven to be incorrect.


    Nope, since both aren't in the set selected.

    You just don't understand what that statement is saying.

    I've expalined it, but it seems over you head.

    For Every H, we show we can find at least one input (chosen just for
    that machine) that it will get wrong.

    Thus, no H computes the Halting Property.

    Never will two machine that give opposite results be given the exact
    same input, and your claiming that just shows you are a stupid
    pathological liar.

    They CAN'T be as the two will give opposite Predicted Behaviors, and
    thus one will be correct, so that input won't be selected for that machine.

    In fact, the proven TMD to give to each machine is based on the Decider
    it will be given to, and the opposite outputs will generate different "pathological inputs" so you claim just won't happen.

    You are just proving your stupidity.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Wed Mar 13 00:38:06 2024
    XPost: sci.logic

    On 13/03/24 00:24, olcott wrote:
    On 3/12/2024 6:05 PM, immibis wrote:
    On 12/03/24 23:53, olcott wrote:
    On 3/12/2024 5:30 PM, Richard Damon wrote:
    On 3/12/24 2:34 PM, olcott wrote:
    On 3/12/2024 4:23 PM, Richard Damon wrote:
    On 3/12/24 1:11 PM, olcott wrote:
    Not exactly. A pair of otherwise identical machines that
    (that are contained within the above specified set)
    only differ by return value will both be wrong on the
    same pathological input.

    You mean a pair of DIFFERENT machines. Any difference is different. >>>>>
    Every decider/input pair (referenced in the above set) has a
    corresponding decider/input pair that only differs by the return
    value of its decider.

    Nope.

    ∀ H ∈ Turing_Machines_Returning_Boolean
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Every H/TMD pair (referenced in the above set) has a
    corresponding H/TMD pair that only differs by the return
    value of its Boolean_TM.

    That both of these H/TMD pairs get the wrong answer proves that
    their question was incorrect because the opposite answer to the
    same question is also proven to be incorrect.


    Nobody knows what the fuck you are talking about. You have to actually
    explain it. The same machine always gives the same return value on the
    same input.


    It has taken me twenty years to translate my intuitions into
    words that can possibly understood.

    You failed.

    A pair of Turing Machines that return Boolean that are identical
    besides their return value that cannot decide some property of
    the same input are being asked the same YES/NO question having
    no correct YES/NO answer.

    https://en.wikipedia.org/wiki/Turing_machine#Formal_definition
    A Turing machine is ⟨Q, Γ, b, Σ, δ, q0, F⟩
    Show me two ⟨Q, Γ, b, Σ, δ, q0, F⟩ that are identical besides their return value.
    You can't because you are talking nonsense. they don't exist.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Wed Mar 13 01:10:32 2024
    XPost: sci.logic

    On 13/03/24 00:56, olcott wrote:
    On 3/12/2024 6:38 PM, immibis wrote:
    On 13/03/24 00:24, olcott wrote:
    On 3/12/2024 6:05 PM, immibis wrote:
    On 12/03/24 23:53, olcott wrote:
    On 3/12/2024 5:30 PM, Richard Damon wrote:
    On 3/12/24 2:34 PM, olcott wrote:
    On 3/12/2024 4:23 PM, Richard Damon wrote:
    On 3/12/24 1:11 PM, olcott wrote:
    Not exactly. A pair of otherwise identical machines that
    (that are contained within the above specified set)
    only differ by return value will both be wrong on the
    same pathological input.

    You mean a pair of DIFFERENT machines. Any difference is different. >>>>>>>
    Every decider/input pair (referenced in the above set) has a
    corresponding decider/input pair that only differs by the return >>>>>>> value of its decider.

    Nope.

    ∀ H ∈ Turing_Machines_Returning_Boolean
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Every H/TMD pair (referenced in the above set) has a
    corresponding H/TMD pair that only differs by the return
    value of its Boolean_TM.

    That both of these H/TMD pairs get the wrong answer proves that
    their question was incorrect because the opposite answer to the
    same question is also proven to be incorrect.


    Nobody knows what the fuck you are talking about. You have to
    actually explain it. The same machine always gives the same return
    value on the same input.


    It has taken me twenty years to translate my intuitions into
    words that can possibly understood.

    You failed.

    A pair of Turing Machines that return Boolean that are identical
    besides their return value that cannot decide some property of
    the same input are being asked the same YES/NO question having
    no correct YES/NO answer.

    https://en.wikipedia.org/wiki/Turing_machine#Formal_definition
    A Turing machine is ⟨Q, Γ, b, Σ, δ, q0, F⟩
    Show me two ⟨Q, Γ, b, Σ, δ, q0, F⟩ that are identical besides their >> return value.
    You can't because you are talking nonsense. they don't exist.

    Turing machine descriptions that are identical finite strings
    except for the the 1/0 that they write the their exact same
    tape relative location.

    So which part of ⟨Q, Γ, b, Σ, δ, q0, F⟩ is different?

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Wed Mar 13 02:05:53 2024
    XPost: sci.logic

    On 13/03/24 01:18, olcott wrote:
    On 3/12/2024 7:10 PM, immibis wrote:
    On 13/03/24 00:56, olcott wrote:
    On 3/12/2024 6:38 PM, immibis wrote:
    On 13/03/24 00:24, olcott wrote:
    On 3/12/2024 6:05 PM, immibis wrote:
    On 12/03/24 23:53, olcott wrote:
    On 3/12/2024 5:30 PM, Richard Damon wrote:
    On 3/12/24 2:34 PM, olcott wrote:
    On 3/12/2024 4:23 PM, Richard Damon wrote:
    On 3/12/24 1:11 PM, olcott wrote:
    Not exactly. A pair of otherwise identical machines that >>>>>>>>>>> (that are contained within the above specified set)
    only differ by return value will both be wrong on the
    same pathological input.

    You mean a pair of DIFFERENT machines. Any difference is
    different.

    Every decider/input pair (referenced in the above set) has a >>>>>>>>> corresponding decider/input pair that only differs by the return >>>>>>>>> value of its decider.

    Nope.

    ∀ H ∈ Turing_Machines_Returning_Boolean
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Every H/TMD pair (referenced in the above set) has a
    corresponding H/TMD pair that only differs by the return
    value of its Boolean_TM.

    That both of these H/TMD pairs get the wrong answer proves that
    their question was incorrect because the opposite answer to the
    same question is also proven to be incorrect.


    Nobody knows what the fuck you are talking about. You have to
    actually explain it. The same machine always gives the same return >>>>>> value on the same input.


    It has taken me twenty years to translate my intuitions into
    words that can possibly understood.

    You failed.

    A pair of Turing Machines that return Boolean that are identical
    besides their return value that cannot decide some property of
    the same input are being asked the same YES/NO question having
    no correct YES/NO answer.

    https://en.wikipedia.org/wiki/Turing_machine#Formal_definition
    A Turing machine is ⟨Q, Γ, b, Σ, δ, q0, F⟩
    Show me two ⟨Q, Γ, b, Σ, δ, q0, F⟩ that are identical besides their >>>> return value.
    You can't because you are talking nonsense. they don't exist.

    Turing machine descriptions that are identical finite strings
    except for the the 1/0 that they write the their exact same
    tape relative location.

    So which part of ⟨Q, Γ, b, Σ, δ, q0, F⟩ is different?
    Exactly one element of Q differs by writing a 1 instead of a 0.

    That's part of δ but this mistake doesn't matter.

    It wasn't clear whether you were talking about a Turing machine that was somehow identical but gave a different return value, or one that was not identical. Now you have explained it is not identical.

    Why does the fact that Bob says 1+1=2 and Bill says 1+1=3 mean that
    neither 2 nor 3 is the correct answer?

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Wed Mar 13 03:17:35 2024
    XPost: sci.logic

    On 13/03/24 02:47, olcott wrote:
    On 3/12/2024 8:05 PM, immibis wrote:
    On 13/03/24 01:18, olcott wrote:
    On 3/12/2024 7:10 PM, immibis wrote:
    So which part of ⟨Q, Γ, b, Σ, δ, q0, F⟩ is different?
    Exactly one element of Q differs by writing a 1 instead of a 0.

    That's part of δ but this mistake doesn't matter.

    It wasn't clear whether you were talking about a Turing machine that
    was somehow identical but gave a different return value, or one that
    was not identical. Now you have explained it is not identical.

    They are identical except for their return value that is specified
    in a single state that is different.

    *This means that they implement the exact same algorithm*

    OK. Well, one of them gets the right answer and one of them gets the
    wrong answer. What is the confusion?

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Tue Mar 12 19:21:41 2024
    XPost: sci.logic

    On 3/12/24 6:47 PM, olcott wrote:
    On 3/12/2024 8:05 PM, immibis wrote:
    On 13/03/24 01:18, olcott wrote:
    On 3/12/2024 7:10 PM, immibis wrote:
    On 13/03/24 00:56, olcott wrote:
    On 3/12/2024 6:38 PM, immibis wrote:
    On 13/03/24 00:24, olcott wrote:
    On 3/12/2024 6:05 PM, immibis wrote:
    On 12/03/24 23:53, olcott wrote:
    On 3/12/2024 5:30 PM, Richard Damon wrote:
    On 3/12/24 2:34 PM, olcott wrote:
    On 3/12/2024 4:23 PM, Richard Damon wrote:
    On 3/12/24 1:11 PM, olcott wrote:
    Not exactly. A pair of otherwise identical machines that >>>>>>>>>>>>> (that are contained within the above specified set)
    only differ by return value will both be wrong on the >>>>>>>>>>>>> same pathological input.

    You mean a pair of DIFFERENT machines. Any difference is >>>>>>>>>>>> different.

    Every decider/input pair (referenced in the above set) has a >>>>>>>>>>> corresponding decider/input pair that only differs by the return >>>>>>>>>>> value of its decider.

    Nope.

    ∀ H ∈ Turing_Machines_Returning_Boolean
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Every H/TMD pair (referenced in the above set) has a
    corresponding H/TMD pair that only differs by the return
    value of its Boolean_TM.

    That both of these H/TMD pairs get the wrong answer proves that >>>>>>>>> their question was incorrect because the opposite answer to the >>>>>>>>> same question is also proven to be incorrect.


    Nobody knows what the fuck you are talking about. You have to
    actually explain it. The same machine always gives the same
    return value on the same input.


    It has taken me twenty years to translate my intuitions into
    words that can possibly understood.

    You failed.

    A pair of Turing Machines that return Boolean that are identical >>>>>>> besides their return value that cannot decide some property of
    the same input are being asked the same YES/NO question having
    no correct YES/NO answer.

    https://en.wikipedia.org/wiki/Turing_machine#Formal_definition
    A Turing machine is ⟨Q, Γ, b, Σ, δ, q0, F⟩
    Show me two ⟨Q, Γ, b, Σ, δ, q0, F⟩ that are identical besides >>>>>> their return value.
    You can't because you are talking nonsense. they don't exist.

    Turing machine descriptions that are identical finite strings
    except for the the 1/0 that they write the their exact same
    tape relative location.

    So which part of ⟨Q, Γ, b, Σ, δ, q0, F⟩ is different?
    Exactly one element of Q differs by writing a 1 instead of a 0.

    That's part of δ but this mistake doesn't matter.

    It wasn't clear whether you were talking about a Turing machine that
    was somehow identical but gave a different return value, or one that
    was not identical. Now you have explained it is not identical.

    They are identical except for their return value that is specified
    in a single state that is different.

    *This means that they implement the exact same algorithm*

    Nope, because the algorithm include the final transition to the output.


    A protocol can be defined so that Turing machine descriptions always implement their return value in their state with the largest Natural
    Number value. This allows other Turing machines to determine identical algorithms except for return value.


    State doesn't have defined "numbers".

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Tue Mar 12 19:28:25 2024
    XPost: sci.logic

    On 3/12/24 4:31 PM, olcott wrote:
    On 3/12/2024 6:11 PM, Richard Damon wrote:
    On 3/12/24 3:53 PM, olcott wrote:
    On 3/12/2024 5:30 PM, Richard Damon wrote:
    On 3/12/24 2:34 PM, olcott wrote:
    On 3/12/2024 4:23 PM, Richard Damon wrote:
    On 3/12/24 1:11 PM, olcott wrote:
    On 3/12/2024 2:40 PM, Richard Damon wrote:
    On 3/12/24 12:02 PM, olcott wrote:
    On 3/12/2024 1:31 PM, immibis wrote:
    On 12/03/24 19:12, olcott wrote:
    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    There is some input TMD to every H such that
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    And it can be a different TMD to each H.

    When we disallow decider/input pairs that are incorrect
    questions where both YES and NO are the wrong answer

    Once we understand that either YES or NO is the right answer, >>>>>>>>>> the whole rebuttal is tossed out as invalid and incorrect. >>>>>>>>>>

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does
    not halt
    BOTH YES AND NO ARE THE WRONG ANSWER FOR EVERY Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ >>>>>>>>
    No, because a given H will only go to one of the answers. THAT >>>>>>>> will be wrong, and the other one right.


    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Not exactly. A pair of otherwise identical machines that
    (that are contained within the above specified set)
    only differ by return value will both be wrong on the
    same pathological input.

    You mean a pair of DIFFERENT machines. Any difference is different. >>>>>
    Every decider/input pair (referenced in the above set) has a
    corresponding decider/input pair that only differs by the return
    value of its decider.

    Nope.

    ∀ H ∈ Turing_Machines_Returning_Boolean
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Every H/TMD pair (referenced in the above set) has a
    corresponding H/TMD pair that only differs by the return
    value of its Boolean_TM.

    That isn't in the set above.


    That both of these H/TMD pairs get the wrong answer proves that
    their question was incorrect because the opposite answer to the
    same question is also proven to be incorrect.


    Nope, since both aren't in the set selected.


    When they are deciders that must get the correct answer both
    of them are not in the set.

    *IF* they are correct decider.

    WHen we select from all Turing Machine Deciders, there is no requirement
    that any of them get any particular answer right.

    So, ALL deciders are in the set that we cycle through and apply the
    following logic to ALL of them.

    Each is them paired with an input that it will get wrong, and the
    existance of the input was what as just proven, the ^ template


    When they are Turing_Machines_Returning_Boolean the this
    set inherently includes identical pairs that only differ
    by return value.

    But in the step of select and input that they will get wrong, they will
    be givne DIFFERENT inputs.


    You just don't understand what that statement is saying.

    I've expalined it, but it seems over you head.

    No the problem is that you are not paying attention.

    No, you keep on making STUPID mistakes, like thinking that select a
    input that the machine will get wrong needs to be the same for two
    differnt machines.




    For Every H, we show we can find at least one input (chosen just for
    that machine) that it will get wrong.

    When we use machine templates then we can see instances of
    the same machine that only differs by return value where both
    get the wrong answer on the same input. By same input I mean
    the same finite string of numerical values.


    But if they returned differnt values, they will have different descriptions.

    Otherwise, how could a UTM get the right answer, since it only gets the description.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Wed Mar 13 04:04:32 2024
    XPost: sci.logic

    On 13/03/24 03:41, olcott wrote:
    On 3/12/2024 9:17 PM, immibis wrote:
    On 13/03/24 02:47, olcott wrote:
    On 3/12/2024 8:05 PM, immibis wrote:
    On 13/03/24 01:18, olcott wrote:
    On 3/12/2024 7:10 PM, immibis wrote:
    So which part of ⟨Q, Γ, b, Σ, δ, q0, F⟩ is different?
    Exactly one element of Q differs by writing a 1 instead of a 0.

    That's part of δ but this mistake doesn't matter.

    It wasn't clear whether you were talking about a Turing machine that
    was somehow identical but gave a different return value, or one that
    was not identical. Now you have explained it is not identical.

    They are identical except for their return value that is specified
    in a single state that is different.

    *This means that they implement the exact same algorithm*

    OK. Well, one of them gets the right answer and one of them gets the
    wrong answer. What is the confusion?

    The Linz Ĥ.H machine gets the wrong answer on its own
    machine description no matter how its Linz H is defined.

    This means that it gets the wrong answer on YES and the
    wrong answer on NO.


    This means that two different machines get two different wrong answers
    on two different inputs. The fact that 1+1=4 is wrong and 2+2=2 is wrong
    does not mean that 2+2=4 is wrong or 1+1=2 is wrong.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Tue Mar 12 20:33:01 2024
    XPost: sci.logic

    On 3/12/24 4:56 PM, olcott wrote:
    On 3/12/2024 6:38 PM, immibis wrote:
    On 13/03/24 00:24, olcott wrote:
    On 3/12/2024 6:05 PM, immibis wrote:
    On 12/03/24 23:53, olcott wrote:
    On 3/12/2024 5:30 PM, Richard Damon wrote:
    On 3/12/24 2:34 PM, olcott wrote:
    On 3/12/2024 4:23 PM, Richard Damon wrote:
    On 3/12/24 1:11 PM, olcott wrote:
    Not exactly. A pair of otherwise identical machines that
    (that are contained within the above specified set)
    only differ by return value will both be wrong on the
    same pathological input.

    You mean a pair of DIFFERENT machines. Any difference is different. >>>>>>>
    Every decider/input pair (referenced in the above set) has a
    corresponding decider/input pair that only differs by the return >>>>>>> value of its decider.

    Nope.

    ∀ H ∈ Turing_Machines_Returning_Boolean
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Every H/TMD pair (referenced in the above set) has a
    corresponding H/TMD pair that only differs by the return
    value of its Boolean_TM.

    That both of these H/TMD pairs get the wrong answer proves that
    their question was incorrect because the opposite answer to the
    same question is also proven to be incorrect.


    Nobody knows what the fuck you are talking about. You have to
    actually explain it. The same machine always gives the same return
    value on the same input.


    It has taken me twenty years to translate my intuitions into
    words that can possibly understood.

    You failed.

    A pair of Turing Machines that return Boolean that are identical
    besides their return value that cannot decide some property of
    the same input are being asked the same YES/NO question having
    no correct YES/NO answer.

    https://en.wikipedia.org/wiki/Turing_machine#Formal_definition
    A Turing machine is ⟨Q, Γ, b, Σ, δ, q0, F⟩
    Show me two ⟨Q, Γ, b, Σ, δ, q0, F⟩ that are identical besides their >> return value.
    You can't because you are talking nonsense. they don't exist.

    Turing machine descriptions that are identical finite strings
    except for the the 1/0 that they write the their exact same
    tape relative location.


    So they aren't identical.

    "Identical except ..." means DIFFERENT.

    So you LIE

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Tue Mar 12 20:49:44 2024
    XPost: sci.logic

    On 3/12/24 7:41 PM, olcott wrote:
    On 3/12/2024 9:17 PM, immibis wrote:
    On 13/03/24 02:47, olcott wrote:
    On 3/12/2024 8:05 PM, immibis wrote:
    On 13/03/24 01:18, olcott wrote:
    On 3/12/2024 7:10 PM, immibis wrote:
    So which part of ⟨Q, Γ, b, Σ, δ, q0, F⟩ is different?
    Exactly one element of Q differs by writing a 1 instead of a 0.

    That's part of δ but this mistake doesn't matter.

    It wasn't clear whether you were talking about a Turing machine that
    was somehow identical but gave a different return value, or one that
    was not identical. Now you have explained it is not identical.

    They are identical except for their return value that is specified
    in a single state that is different.

    *This means that they implement the exact same algorithm*

    OK. Well, one of them gets the right answer and one of them gets the
    wrong answer. What is the confusion?

    The Linz Ĥ.H machine gets the wrong answer on its own
    machine description no matter how its Linz H is defined.

    This means that it gets the wrong answer on YES and the
    wrong answer on NO.


    Not quite. It always gets the wrong answer, but only one of them for
    each quesiton.

    For EACH SEPARATE definition of H, and thus H^, we have a different
    question.

    Note, the machine H^ isn't DEFINED to just get H^ as an input.

    H^ is defined to get as an input, the description of ANY Turing Machine,
    and to ask H what that machine applied to its description will do, and
    then it does the opposite.

    Thus, for every different H we go to test, we get a DIFFERENT H^
    machine. and when we look at the question to H (or H^.H) about the
    description (H^) (H^),

    If H (H^) (H^) goes to qn, then H^ (H^) goes to qn too and halts, so the correct answer would have been to go to qy.

    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy too, and loops, so
    the correct answer would have been to go to qn.

    So, each case HAS a correct answer, just not the one that H (or H^.H)
    goes to,

    So yes, which ever one it goes to (and a given machine will only go to
    one with this input) will be wrong, but the other one would have been
    right, and an H* machine that answer the opposite of H would have been
    correct.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Wed Mar 13 04:57:24 2024
    XPost: sci.logic

    On 13/03/24 04:19, olcott wrote:
    On 3/12/2024 10:04 PM, immibis wrote:
    On 13/03/24 03:41, olcott wrote:
    On 3/12/2024 9:17 PM, immibis wrote:
    On 13/03/24 02:47, olcott wrote:
    On 3/12/2024 8:05 PM, immibis wrote:
    On 13/03/24 01:18, olcott wrote:
    On 3/12/2024 7:10 PM, immibis wrote:
    So which part of ⟨Q, Γ, b, Σ, δ, q0, F⟩ is different?
    Exactly one element of Q differs by writing a 1 instead of a 0.

    That's part of δ but this mistake doesn't matter.

    It wasn't clear whether you were talking about a Turing machine
    that was somehow identical but gave a different return value, or
    one that was not identical. Now you have explained it is not
    identical.

    They are identical except for their return value that is specified
    in a single state that is different.

    *This means that they implement the exact same algorithm*

    OK. Well, one of them gets the right answer and one of them gets the
    wrong answer. What is the confusion?

    The Linz Ĥ.H machine gets the wrong answer on its own
    machine description no matter how its Linz H is defined.

    This means that it gets the wrong answer on YES and the
    wrong answer on NO.


    This means that two different machines get two different wrong answers
    on two different inputs. The fact that 1+1=4 is wrong and 2+2=2 is
    wrong does not mean that 2+2=4 is wrong or 1+1=2 is wrong.

    None-the-less they only get the wrong answer because of the
    epistemological antinomy AKA incorrect question.

    They get the wrong answer because the answer they are programmed to give
    is the wrong one.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Tue Mar 12 21:13:07 2024
    XPost: sci.logic

    On 3/12/24 8:55 PM, olcott wrote:
    On 3/12/2024 10:49 PM, Richard Damon wrote:
    On 3/12/24 7:41 PM, olcott wrote:
    On 3/12/2024 9:17 PM, immibis wrote:
    On 13/03/24 02:47, olcott wrote:
    On 3/12/2024 8:05 PM, immibis wrote:
    On 13/03/24 01:18, olcott wrote:
    On 3/12/2024 7:10 PM, immibis wrote:
    So which part of ⟨Q, Γ, b, Σ, δ, q0, F⟩ is different?
    Exactly one element of Q differs by writing a 1 instead of a 0.

    That's part of δ but this mistake doesn't matter.

    It wasn't clear whether you were talking about a Turing machine
    that was somehow identical but gave a different return value, or
    one that was not identical. Now you have explained it is not
    identical.

    They are identical except for their return value that is specified
    in a single state that is different.

    *This means that they implement the exact same algorithm*

    OK. Well, one of them gets the right answer and one of them gets the
    wrong answer. What is the confusion?

    The Linz Ĥ.H machine gets the wrong answer on its own
    machine description no matter how its Linz H is defined.

    This means that it gets the wrong answer on YES and the
    wrong answer on NO.


    Not quite. It always gets the wrong answer, but only one of them for
    each quesiton.


    They all gets the wrong answer on a whole class of questions because epistemological antinomies are not rejected as semantically invalid input.

    But they aren't epistemological antinomies, they are description of
    Turing Macnine, and you are proved to be a stupid liar.


    For EACH SEPARATE definition of H, and thus H^, we have a different
    question.


    They are all the same epistemological antinomy category of question.

    Nope.

    The question HAS an answer for this input, as long as the description is
    of the ACTUAL TURING MACHINE H^ and not your fake "template" which you
    like to lie about.

    You are just proving your total incompetence at the topic, and that you
    are just a pathological liar.

    Remember, H has been DEFINED at this point, (form the arbitrary
    selection) and thus so has H^ and thus H^ (H^) has definite behavior, so
    the question has a definite answer, and you can't talk of H giving any
    answer other than the one its algorithm generates.

    So, you prove yourself to be a pathetic ignorant hypocritical
    pathological lying idiot.


    Note, the machine H^ isn't DEFINED to just get H^ as an input.

    H^ is defined to get as an input, the description of ANY Turing
    Machine, and to ask H what that machine applied to its description
    will do, and then it does the opposite.

    Thus, for every different H we go to test, we get a DIFFERENT H^
    machine. and when we look at the question to H (or H^.H) about the
    description (H^) (H^),

    If H (H^) (H^) goes to qn, then H^ (H^) goes to qn too and halts, so
    the correct answer would have been to go to qy.

    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy too, and loops, so
    the correct answer would have been to go to qn.

    So, each case HAS a correct answer, just not the one that H (or H^.H)
    goes to,

    So yes, which ever one it goes to (and a given machine will only go to
    one with this input) will be wrong, but the other one would have been
    right, and an H* machine that answer the opposite of H would have been
    correct.


    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Tue Mar 12 21:14:46 2024
    XPost: sci.logic

    On 3/12/24 7:44 PM, olcott wrote:
    On 3/12/2024 9:21 PM, Richard Damon wrote:
    On 3/12/24 6:47 PM, olcott wrote:
    On 3/12/2024 8:05 PM, immibis wrote:
    On 13/03/24 01:18, olcott wrote:
    On 3/12/2024 7:10 PM, immibis wrote:
    On 13/03/24 00:56, olcott wrote:
    On 3/12/2024 6:38 PM, immibis wrote:
    On 13/03/24 00:24, olcott wrote:
    On 3/12/2024 6:05 PM, immibis wrote:
    On 12/03/24 23:53, olcott wrote:
    On 3/12/2024 5:30 PM, Richard Damon wrote:
    On 3/12/24 2:34 PM, olcott wrote:
    On 3/12/2024 4:23 PM, Richard Damon wrote:
    On 3/12/24 1:11 PM, olcott wrote:
    Not exactly. A pair of otherwise identical machines that >>>>>>>>>>>>>>> (that are contained within the above specified set) >>>>>>>>>>>>>>> only differ by return value will both be wrong on the >>>>>>>>>>>>>>> same pathological input.

    You mean a pair of DIFFERENT machines. Any difference is >>>>>>>>>>>>>> different.

    Every decider/input pair (referenced in the above set) has a >>>>>>>>>>>>> corresponding decider/input pair that only differs by the >>>>>>>>>>>>> return
    value of its decider.

    Nope.

    ∀ H ∈ Turing_Machines_Returning_Boolean
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Every H/TMD pair (referenced in the above set) has a
    corresponding H/TMD pair that only differs by the return >>>>>>>>>>> value of its Boolean_TM.

    That both of these H/TMD pairs get the wrong answer proves that >>>>>>>>>>> their question was incorrect because the opposite answer to the >>>>>>>>>>> same question is also proven to be incorrect.


    Nobody knows what the fuck you are talking about. You have to >>>>>>>>>> actually explain it. The same machine always gives the same >>>>>>>>>> return value on the same input.


    It has taken me twenty years to translate my intuitions into >>>>>>>>> words that can possibly understood.

    You failed.

    A pair of Turing Machines that return Boolean that are identical >>>>>>>>> besides their return value that cannot decide some property of >>>>>>>>> the same input are being asked the same YES/NO question having >>>>>>>>> no correct YES/NO answer.

    https://en.wikipedia.org/wiki/Turing_machine#Formal_definition >>>>>>>> A Turing machine is ⟨Q, Γ, b, Σ, δ, q0, F⟩
    Show me two ⟨Q, Γ, b, Σ, δ, q0, F⟩ that are identical besides >>>>>>>> their return value.
    You can't because you are talking nonsense. they don't exist.

    Turing machine descriptions that are identical finite strings
    except for the the 1/0 that they write the their exact same
    tape relative location.

    So which part of ⟨Q, Γ, b, Σ, δ, q0, F⟩ is different?
    Exactly one element of Q differs by writing a 1 instead of a 0.

    That's part of δ but this mistake doesn't matter.

    It wasn't clear whether you were talking about a Turing machine that
    was somehow identical but gave a different return value, or one that
    was not identical. Now you have explained it is not identical.

    They are identical except for their return value that is specified
    in a single state that is different.

    *This means that they implement the exact same algorithm*

    Nope, because the algorithm include the final transition to the output.

    The decision criteria is identical

    No, the decision criteria is reversed. The generation of the output is
    part of the algortihm

    You are so dumb you don't understand that.



    A protocol can be defined so that Turing machine descriptions always
    implement their return value in their state with the largest Natural
    Number value. This allows other Turing machines to determine identical
    algorithms except for return value.


    State doesn't have defined "numbers".

    It must have something like this.


    Nope. States are SYMBOLS / NAMES. They can be encoded into numbers, but
    are not themselves numbers.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Tue Mar 12 21:16:33 2024
    XPost: sci.logic

    On 3/12/24 8:41 PM, olcott wrote:
    On 3/12/2024 10:33 PM, Richard Damon wrote:
    On 3/12/24 4:56 PM, olcott wrote:
    On 3/12/2024 6:38 PM, immibis wrote:
    On 13/03/24 00:24, olcott wrote:
    On 3/12/2024 6:05 PM, immibis wrote:
    On 12/03/24 23:53, olcott wrote:
    On 3/12/2024 5:30 PM, Richard Damon wrote:
    On 3/12/24 2:34 PM, olcott wrote:
    On 3/12/2024 4:23 PM, Richard Damon wrote:
    On 3/12/24 1:11 PM, olcott wrote:
    Not exactly. A pair of otherwise identical machines that >>>>>>>>>>> (that are contained within the above specified set)
    only differ by return value will both be wrong on the
    same pathological input.

    You mean a pair of DIFFERENT machines. Any difference is
    different.

    Every decider/input pair (referenced in the above set) has a >>>>>>>>> corresponding decider/input pair that only differs by the return >>>>>>>>> value of its decider.

    Nope.

    ∀ H ∈ Turing_Machines_Returning_Boolean
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Every H/TMD pair (referenced in the above set) has a
    corresponding H/TMD pair that only differs by the return
    value of its Boolean_TM.

    That both of these H/TMD pairs get the wrong answer proves that
    their question was incorrect because the opposite answer to the
    same question is also proven to be incorrect.


    Nobody knows what the fuck you are talking about. You have to
    actually explain it. The same machine always gives the same return >>>>>> value on the same input.


    It has taken me twenty years to translate my intuitions into
    words that can possibly understood.

    You failed.

    A pair of Turing Machines that return Boolean that are identical
    besides their return value that cannot decide some property of
    the same input are being asked the same YES/NO question having
    no correct YES/NO answer.

    https://en.wikipedia.org/wiki/Turing_machine#Formal_definition
    A Turing machine is ⟨Q, Γ, b, Σ, δ, q0, F⟩
    Show me two ⟨Q, Γ, b, Σ, δ, q0, F⟩ that are identical besides their >>>> return value.
    You can't because you are talking nonsense. they don't exist.

    Turing machine descriptions that are identical finite strings
    except for the the 1/0 that they write the their exact same
    tape relative location.


    So they aren't identical.

    "Identical except ..." means DIFFERENT.

    So you LIE

    Not at all. I did not know these details until immbis
    pressed me for them. I did know these details until
    I encoded them as quintuples. http://www2.lns.mit.edu/~dsw/turing/doc/tm_manual.txt


    So, you still have been trying to say that the two machines that do the opposite have the same identical algorithm.

    Note to write a 1 or a 0 requires different quintuples.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to Ross Finlayson on Tue Mar 12 21:19:22 2024
    XPost: sci.logic

    On 3/12/24 8:23 PM, Ross Finlayson wrote:
    On 03/12/2024 07:52 PM, olcott wrote:
    On 3/12/2024 9:28 PM, Richard Damon wrote:
    On 3/12/24 4:31 PM, olcott wrote:
    On 3/12/2024 6:11 PM, Richard Damon wrote:
    On 3/12/24 3:53 PM, olcott wrote:
    On 3/12/2024 5:30 PM, Richard Damon wrote:
    On 3/12/24 2:34 PM, olcott wrote:
    On 3/12/2024 4:23 PM, Richard Damon wrote:
    On 3/12/24 1:11 PM, olcott wrote:
    On 3/12/2024 2:40 PM, Richard Damon wrote:
    On 3/12/24 12:02 PM, olcott wrote:
    On 3/12/2024 1:31 PM, immibis wrote:
    On 12/03/24 19:12, olcott wrote:
    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD) >>>>>>>>>>>>>>
    There is some input TMD to every H such that
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    And it can be a different TMD to each H.

    When we disallow decider/input pairs that are incorrect >>>>>>>>>>>>>> questions where both YES and NO are the wrong answer >>>>>>>>>>>>>
    Once we understand that either YES or NO is the right >>>>>>>>>>>>> answer, the whole rebuttal is tossed out as invalid and >>>>>>>>>>>>> incorrect.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does
    not halt
    BOTH YES AND NO ARE THE WRONG ANSWER FOR EVERY Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩

    No, because a given H will only go to one of the answers. THAT >>>>>>>>>>> will be wrong, and the other one right.


    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Not exactly. A pair of otherwise identical machines that
    (that are contained within the above specified set)
    only differ by return value will both be wrong on the
    same pathological input.

    You mean a pair of DIFFERENT machines. Any difference is
    different.

    Every decider/input pair (referenced in the above set) has a
    corresponding decider/input pair that only differs by the return >>>>>>>> value of its decider.

    Nope.

    ∀ H ∈ Turing_Machines_Returning_Boolean
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Every H/TMD pair (referenced in the above set) has a
    corresponding H/TMD pair that only differs by the return
    value of its Boolean_TM.

    That isn't in the set above.


    That both of these H/TMD pairs get the wrong answer proves that
    their question was incorrect because the opposite answer to the
    same question is also proven to be incorrect.


    Nope, since both aren't in the set selected.


    When they are deciders that must get the correct answer both
    of them are not in the set.

    *IF* they are correct decider.

    WHen we select from all Turing Machine Deciders, there is no
    requirement that any of them get any particular answer right.

    So, ALL deciders are in the set that we cycle through and apply the
    following logic to ALL of them.

    Each is them paired with an input that it will get wrong, and the
    existance of the input was what as just proven, the ^ template


    When they are Turing_Machines_Returning_Boolean the this
    set inherently includes identical pairs that only differ
    by return value.

    But in the step of select and input that they will get wrong, they
    will be givne DIFFERENT inputs.


    You just don't understand what that statement is saying.

    I've expalined it, but it seems over you head.

    No the problem is that you are not paying attention.

    No, you keep on making STUPID mistakes, like thinking that select a
    input that the machine will get wrong needs to be the same for two
    differnt machines.




    For Every H, we show we can find at least one input (chosen just for >>>>> that machine) that it will get wrong.

    When we use machine templates then we can see instances of
    the same machine that only differs by return value where both
    get the wrong answer on the same input. By same input I mean
    the same finite string of numerical values.


    But if they returned differnt values, they will have different
    descriptions.

    Otherwise, how could a UTM get the right answer, since it only gets
    the description.

    We can get around all of this stuff by simply using this criteria:
    Date 10/13/2022 11:29:23 AM
    *MIT Professor Michael Sipser agreed this verbatim paragraph is correct*
    (He has neither reviewed nor agreed to anything else in this paper)
    (a) If simulating halt decider H correctly simulates its input D until H
    correctly determines that its simulated D would never stop running
    unless aborted then
    (b) H can abort its simulation of D and correctly report that D
    specifies a non-halting sequence of configurations.

    *When we apply this criteria* (elaborated above)
    Will you halt if you never abort your simulation?
    *Then the halting problem is conquered*

    When two different machines implementing this criteria
    get different results from identical inputs then we
    know that Pathological Self-Reference has been detected.

    We don't even need to know that for:
    *denial-of-service-attack detection*
    *NO always means reject as unsafe*


    But, Halting theorem never said "there's an input that halts
    all machines", it just says "for any machine, there's an input
    that halts it".

    Where "halt the machine" means "put it in an infinite loop".

    Nope, there are many machines that no input will put it into an infinite
    loop.

    The Halting Theorem says no machine can decide if another machine will
    halt in finite time for all machines,


    So, rather, Halting theorem never said "there's an input that
    exhausts all machines", it just says, "for any machine, there's
    an input that exhausts it".

    I still don't see how that would be with infinite tapes though,
    without a means of checking all the way right the tape in one
    step, i.e. that it's 1's or 0's or any pattern at all, any
    input that unbounded with respect to the machine basically
    exhausts it or where the machine would run in the unbounded.

    But the tape is required to only have a finite number of "non-space"
    characters on it.



    Of course any finite tape, has a static analysis that is
    not infinite, that decides whether or not it halts
    (or, loops, or grows, the state space of the decider).

    Static analysis has to either enumerate or _infer_ the
    state-space, where equal values in what's determined
    the idempotent can detect loops, while inequalities
    or proven divergence, ..., can detect unbounded growth.

    Now, proving convergence or divergence is its own kind
    of thing. For example, there are series that converge
    very slowly, and series that diverge very slowly. These
    are subtly intractable to analysis.

    Then the usual idea of progressions that rapidly grow
    yet return to what's detectable, are pathological to
    analysis, only in resources not correctness or completion,
    vis-a-vis the subtle intractability of the convergence or
    divergence what either halts, or loops, or grows unboundedly.

    Separately "not-halts" into "loops or grows unboundedly",
    has that really for most matters of interest of understanding
    the state-space of programs, is "halts or enters loops"
    and not "grows unboundedly".

    I.e. if the Halting problem is basically subject the
    subtle intractability of slow convergence, that otherwise
    it can just infer divergence and decide, practically
    it's sort of more relevant what the machine would be
    doing on the input on the tape, then with respect to
    beyond the Turing theory, of the state of the read-head,
    what happens when somebody modifies the tape, or events,
    the write-head.

    Anyways though for bounded inputs, besides slow divergence,
    it's to be made clear that _most all_ and _almost all_
    programs _are_ decided their behavior by static analysis.

    Though, "most all" and "almost all" might be a bit strong,
    but pretty much all that don't involve "the subtle intractability
    of slow divergence".



    Giving the idea that an existence result
    is in any way the expected result here
    seems sort of the root of this dilem-na.






    (Though that the real numbers in ZFC have a well-ordering
    and if they had a normal ordering that was a well-ordering,
    that would be a thing, because ZFC has a well-ordering of
    [0,1], but can't give one.)



    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Tue Mar 12 21:25:19 2024
    XPost: sci.logic

    On 3/12/24 7:52 PM, olcott wrote:
    On 3/12/2024 9:28 PM, Richard Damon wrote:
    On 3/12/24 4:31 PM, olcott wrote:
    On 3/12/2024 6:11 PM, Richard Damon wrote:
    On 3/12/24 3:53 PM, olcott wrote:
    On 3/12/2024 5:30 PM, Richard Damon wrote:
    On 3/12/24 2:34 PM, olcott wrote:
    On 3/12/2024 4:23 PM, Richard Damon wrote:
    On 3/12/24 1:11 PM, olcott wrote:
    On 3/12/2024 2:40 PM, Richard Damon wrote:
    On 3/12/24 12:02 PM, olcott wrote:
    On 3/12/2024 1:31 PM, immibis wrote:
    On 12/03/24 19:12, olcott wrote:
    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    There is some input TMD to every H such that
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    And it can be a different TMD to each H.

    When we disallow decider/input pairs that are incorrect >>>>>>>>>>>>> questions where both YES and NO are the wrong answer

    Once we understand that either YES or NO is the right
    answer, the whole rebuttal is tossed out as invalid and >>>>>>>>>>>> incorrect.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does
    not halt
    BOTH YES AND NO ARE THE WRONG ANSWER FOR EVERY Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩

    No, because a given H will only go to one of the answers. THAT >>>>>>>>>> will be wrong, and the other one right.


    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Not exactly. A pair of otherwise identical machines that
    (that are contained within the above specified set)
    only differ by return value will both be wrong on the
    same pathological input.

    You mean a pair of DIFFERENT machines. Any difference is different. >>>>>>>
    Every decider/input pair (referenced in the above set) has a
    corresponding decider/input pair that only differs by the return >>>>>>> value of its decider.

    Nope.

    ∀ H ∈ Turing_Machines_Returning_Boolean
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Every H/TMD pair (referenced in the above set) has a
    corresponding H/TMD pair that only differs by the return
    value of its Boolean_TM.

    That isn't in the set above.


    That both of these H/TMD pairs get the wrong answer proves that
    their question was incorrect because the opposite answer to the
    same question is also proven to be incorrect.


    Nope, since both aren't in the set selected.


    When they are deciders that must get the correct answer both
    of them are not in the set.

    *IF* they are correct decider.

    WHen we select from all Turing Machine Deciders, there is no
    requirement that any of them get any particular answer right.

    So, ALL deciders are in the set that we cycle through and apply the
    following logic to ALL of them.

    Each is them paired with an input that it will get wrong, and the
    existance of the input was what as just proven, the ^ template


    When they are Turing_Machines_Returning_Boolean the this
    set inherently includes identical pairs that only differ
    by return value.

    But in the step of select and input that they will get wrong, they
    will be givne DIFFERENT inputs.


    You just don't understand what that statement is saying.

    I've expalined it, but it seems over you head.

    No the problem is that you are not paying attention.

    No, you keep on making STUPID mistakes, like thinking that select a
    input that the machine will get wrong needs to be the same for two
    differnt machines.




    For Every H, we show we can find at least one input (chosen just for
    that machine) that it will get wrong.

    When we use machine templates then we can see instances of
    the same machine that only differs by return value where both
    get the wrong answer on the same input. By same input I mean
    the same finite string of numerical values.


    But if they returned differnt values, they will have different
    descriptions.

    Otherwise, how could a UTM get the right answer, since it only gets
    the description.

    We can get around all of this stuff by simply using this criteria:
    Date 10/13/2022 11:29:23 AM
    *MIT Professor Michael Sipser agreed this verbatim paragraph is correct*
    (He has neither reviewed nor agreed to anything else in this paper)
    (a) If simulating halt decider H correctly simulates its input D until H correctly determines that its simulated D would never stop running
    unless aborted then
    (b) H can abort its simulation of D and correctly report that D
    specifies a non-halting sequence of configurations.

    *When we apply this criteria* (elaborated above)
    Will you halt if you never abort your simulation?
    *Then the halting problem is conquered*

    When two different machines implementing this criteria
    get different results from identical inputs then we
    know that Pathological Self-Reference has been detected.

    We don't even need to know that for:
    *denial-of-service-attack detection*
    *NO always means reject as unsafe*


    Which means, when you understand what the words ACTUALLY MEAN, is that H
    is allowed to abort is simulation, if it can CORRECTLY DETERMINE, that
    the ACTUAL CORRECT SIMULATION (ie with a different machine that never
    stops simulating, ie a UTM) would never stop.

    This giving to the UTM doesn't change the machine represented on the
    tape, fot H^ it is still using the copy of H, as you finally decided to
    make it, so if that aborts and returns qn, then H^'s submachine copy of
    H at H^.H will ALSO abort its simulation and return to qn, and H^ will
    then Halt, making H wrong, because it didn't CORRECTLY DETERMINE that
    the UTM simulating this input would never halt.

    So, your definition of DOS detection is allowing false positives for non-halting detection, which is fine if you don't mind some wrong
    answers, but doesn't make it a HALT DECIDER.

    You are just ADMITTING that you have been LYING about this, (LYING since
    you claim it applies to the Linz proof, which is about Halt Deciders,
    not DOS detectors).

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Tue Mar 12 22:02:20 2024
    XPost: sci.logic

    On 3/12/24 9:25 PM, olcott wrote:
    On 3/12/2024 11:16 PM, Richard Damon wrote:
    On 3/12/24 8:41 PM, olcott wrote:
    On 3/12/2024 10:33 PM, Richard Damon wrote:
    On 3/12/24 4:56 PM, olcott wrote:
    On 3/12/2024 6:38 PM, immibis wrote:
    On 13/03/24 00:24, olcott wrote:
    On 3/12/2024 6:05 PM, immibis wrote:
    On 12/03/24 23:53, olcott wrote:
    On 3/12/2024 5:30 PM, Richard Damon wrote:
    On 3/12/24 2:34 PM, olcott wrote:
    On 3/12/2024 4:23 PM, Richard Damon wrote:
    On 3/12/24 1:11 PM, olcott wrote:
    Not exactly. A pair of otherwise identical machines that >>>>>>>>>>>>> (that are contained within the above specified set)
    only differ by return value will both be wrong on the >>>>>>>>>>>>> same pathological input.

    You mean a pair of DIFFERENT machines. Any difference is >>>>>>>>>>>> different.

    Every decider/input pair (referenced in the above set) has a >>>>>>>>>>> corresponding decider/input pair that only differs by the return >>>>>>>>>>> value of its decider.

    Nope.

    ∀ H ∈ Turing_Machines_Returning_Boolean
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Every H/TMD pair (referenced in the above set) has a
    corresponding H/TMD pair that only differs by the return
    value of its Boolean_TM.

    That both of these H/TMD pairs get the wrong answer proves that >>>>>>>>> their question was incorrect because the opposite answer to the >>>>>>>>> same question is also proven to be incorrect.


    Nobody knows what the fuck you are talking about. You have to
    actually explain it. The same machine always gives the same
    return value on the same input.


    It has taken me twenty years to translate my intuitions into
    words that can possibly understood.

    You failed.

    A pair of Turing Machines that return Boolean that are identical >>>>>>> besides their return value that cannot decide some property of
    the same input are being asked the same YES/NO question having
    no correct YES/NO answer.

    https://en.wikipedia.org/wiki/Turing_machine#Formal_definition
    A Turing machine is ⟨Q, Γ, b, Σ, δ, q0, F⟩
    Show me two ⟨Q, Γ, b, Σ, δ, q0, F⟩ that are identical besides >>>>>> their return value.
    You can't because you are talking nonsense. they don't exist.

    Turing machine descriptions that are identical finite strings
    except for the the 1/0 that they write the their exact same
    tape relative location.


    So they aren't identical.

    "Identical except ..." means DIFFERENT.

    So you LIE

    Not at all. I did not know these details until immbis
    pressed me for them. I did know these details until
    I encoded them as quintuples.
    http://www2.lns.mit.edu/~dsw/turing/doc/tm_manual.txt


    So, you still have been trying to say that the two machines that do
    the opposite have the same identical algorithm.

    Note to write a 1 or a 0 requires different quintuples.

    The have the exact same steps except their final write to tape step.


    Which is a step, so part of the machine.

    THE SAME EXCEPT ... means is different.

    To claim otherwise is just a lie.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Tue Mar 12 22:01:11 2024
    XPost: sci.logic

    On 3/12/24 9:24 PM, olcott wrote:
    On 3/12/2024 11:14 PM, Richard Damon wrote:
    On 3/12/24 7:44 PM, olcott wrote:
    On 3/12/2024 9:21 PM, Richard Damon wrote:
    On 3/12/24 6:47 PM, olcott wrote:
    On 3/12/2024 8:05 PM, immibis wrote:
    On 13/03/24 01:18, olcott wrote:
    On 3/12/2024 7:10 PM, immibis wrote:
    On 13/03/24 00:56, olcott wrote:
    On 3/12/2024 6:38 PM, immibis wrote:
    On 13/03/24 00:24, olcott wrote:
    On 3/12/2024 6:05 PM, immibis wrote:
    On 12/03/24 23:53, olcott wrote:
    On 3/12/2024 5:30 PM, Richard Damon wrote:
    On 3/12/24 2:34 PM, olcott wrote:
    On 3/12/2024 4:23 PM, Richard Damon wrote:
    On 3/12/24 1:11 PM, olcott wrote:
    Not exactly. A pair of otherwise identical machines that >>>>>>>>>>>>>>>>> (that are contained within the above specified set) >>>>>>>>>>>>>>>>> only differ by return value will both be wrong on the >>>>>>>>>>>>>>>>> same pathological input.

    You mean a pair of DIFFERENT machines. Any difference is >>>>>>>>>>>>>>>> different.

    Every decider/input pair (referenced in the above set) has a >>>>>>>>>>>>>>> corresponding decider/input pair that only differs by the >>>>>>>>>>>>>>> return
    value of its decider.

    Nope.

    ∀ H ∈ Turing_Machines_Returning_Boolean
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Every H/TMD pair (referenced in the above set) has a >>>>>>>>>>>>> corresponding H/TMD pair that only differs by the return >>>>>>>>>>>>> value of its Boolean_TM.

    That both of these H/TMD pairs get the wrong answer proves >>>>>>>>>>>>> that
    their question was incorrect because the opposite answer to >>>>>>>>>>>>> the
    same question is also proven to be incorrect.


    Nobody knows what the fuck you are talking about. You have >>>>>>>>>>>> to actually explain it. The same machine always gives the >>>>>>>>>>>> same return value on the same input.


    It has taken me twenty years to translate my intuitions into >>>>>>>>>>> words that can possibly understood.

    You failed.

    A pair of Turing Machines that return Boolean that are identical >>>>>>>>>>> besides their return value that cannot decide some property of >>>>>>>>>>> the same input are being asked the same YES/NO question having >>>>>>>>>>> no correct YES/NO answer.

    https://en.wikipedia.org/wiki/Turing_machine#Formal_definition >>>>>>>>>> A Turing machine is ⟨Q, Γ, b, Σ, δ, q0, F⟩
    Show me two ⟨Q, Γ, b, Σ, δ, q0, F⟩ that are identical besides >>>>>>>>>> their return value.
    You can't because you are talking nonsense. they don't exist. >>>>>>>>>
    Turing machine descriptions that are identical finite strings >>>>>>>>> except for the the 1/0 that they write the their exact same
    tape relative location.

    So which part of ⟨Q, Γ, b, Σ, δ, q0, F⟩ is different?
    Exactly one element of Q differs by writing a 1 instead of a 0.

    That's part of δ but this mistake doesn't matter.

    It wasn't clear whether you were talking about a Turing machine
    that was somehow identical but gave a different return value, or
    one that was not identical. Now you have explained it is not
    identical.

    They are identical except for their return value that is specified
    in a single state that is different.

    *This means that they implement the exact same algorithm*

    Nope, because the algorithm include the final transition to the output. >>>
    The decision criteria is identical

    No, the decision criteria is reversed. The generation of the output is
    part of the algortihm

    The criteria is identical the answer is reversed.

    Which means the criteria is reversed.

    The algorithm includes generating the output.


    You are so dumb you don't understand that.

    There are two way of looking at this.
    The criteria has the exact same steps and the answer is reversed.

    And that last part is part of the algorithm / criteria.

    THey may be very similar algoritms, but they are different.




    A protocol can be defined so that Turing machine descriptions always >>>>> implement their return value in their state with the largest Natural >>>>> Number value. This allows other Turing machines to determine identical >>>>> algorithms except for return value.


    State doesn't have defined "numbers".

    It must have something like this.


    Nope. States are SYMBOLS / NAMES. They can be encoded into numbers,
    but are not themselves numbers.

    Not when compiled into machine code.


    You don't "complie" Turing Machines, except maybe to simulate them, at
    which point you make a description, so the states have a REPRESENTATION,
    which might also represent a "Number" but might not.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Tue Mar 12 22:04:21 2024
    XPost: sci.logic

    On 3/12/24 9:33 PM, olcott wrote:
    On 3/12/2024 11:25 PM, Richard Damon wrote:
    On 3/12/24 7:52 PM, olcott wrote:
    On 3/12/2024 9:28 PM, Richard Damon wrote:
    On 3/12/24 4:31 PM, olcott wrote:
    On 3/12/2024 6:11 PM, Richard Damon wrote:
    On 3/12/24 3:53 PM, olcott wrote:
    On 3/12/2024 5:30 PM, Richard Damon wrote:
    On 3/12/24 2:34 PM, olcott wrote:
    On 3/12/2024 4:23 PM, Richard Damon wrote:
    On 3/12/24 1:11 PM, olcott wrote:
    On 3/12/2024 2:40 PM, Richard Damon wrote:
    On 3/12/24 12:02 PM, olcott wrote:
    On 3/12/2024 1:31 PM, immibis wrote:
    On 12/03/24 19:12, olcott wrote:
    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD) >>>>>>>>>>>>>>>
    There is some input TMD to every H such that
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD) >>>>>>>>>>>>>>
    And it can be a different TMD to each H.

    When we disallow decider/input pairs that are incorrect >>>>>>>>>>>>>>> questions where both YES and NO are the wrong answer >>>>>>>>>>>>>>
    Once we understand that either YES or NO is the right >>>>>>>>>>>>>> answer, the whole rebuttal is tossed out as invalid and >>>>>>>>>>>>>> incorrect.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩
    does not halt
    BOTH YES AND NO ARE THE WRONG ANSWER FOR EVERY Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩

    No, because a given H will only go to one of the answers. >>>>>>>>>>>> THAT will be wrong, and the other one right.


    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Not exactly. A pair of otherwise identical machines that >>>>>>>>>>> (that are contained within the above specified set)
    only differ by return value will both be wrong on the
    same pathological input.

    You mean a pair of DIFFERENT machines. Any difference is
    different.

    Every decider/input pair (referenced in the above set) has a >>>>>>>>> corresponding decider/input pair that only differs by the return >>>>>>>>> value of its decider.

    Nope.

    ∀ H ∈ Turing_Machines_Returning_Boolean
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    Every H/TMD pair (referenced in the above set) has a
    corresponding H/TMD pair that only differs by the return
    value of its Boolean_TM.

    That isn't in the set above.


    That both of these H/TMD pairs get the wrong answer proves that
    their question was incorrect because the opposite answer to the
    same question is also proven to be incorrect.


    Nope, since both aren't in the set selected.


    When they are deciders that must get the correct answer both
    of them are not in the set.

    *IF* they are correct decider.

    WHen we select from all Turing Machine Deciders, there is no
    requirement that any of them get any particular answer right.

    So, ALL deciders are in the set that we cycle through and apply the
    following logic to ALL of them.

    Each is them paired with an input that it will get wrong, and the
    existance of the input was what as just proven, the ^ template


    When they are Turing_Machines_Returning_Boolean the this
    set inherently includes identical pairs that only differ
    by return value.

    But in the step of select and input that they will get wrong, they
    will be givne DIFFERENT inputs.


    You just don't understand what that statement is saying.

    I've expalined it, but it seems over you head.

    No the problem is that you are not paying attention.

    No, you keep on making STUPID mistakes, like thinking that select a
    input that the machine will get wrong needs to be the same for two
    differnt machines.




    For Every H, we show we can find at least one input (chosen just
    for that machine) that it will get wrong.

    When we use machine templates then we can see instances of
    the same machine that only differs by return value where both
    get the wrong answer on the same input. By same input I mean
    the same finite string of numerical values.


    But if they returned differnt values, they will have different
    descriptions.

    Otherwise, how could a UTM get the right answer, since it only gets
    the description.

    We can get around all of this stuff by simply using this criteria:
    Date 10/13/2022 11:29:23 AM
    *MIT Professor Michael Sipser agreed this verbatim paragraph is correct* >>> (He has neither reviewed nor agreed to anything else in this paper)
    (a) If simulating halt decider H correctly simulates its input D
    until H correctly determines that its simulated D would never stop
    running unless aborted then
    (b) H can abort its simulation of D and correctly report that D
    specifies a non-halting sequence of configurations.

    *When we apply this criteria* (elaborated above)
    Will you halt if you never abort your simulation?
    *Then the halting problem is conquered*

    When two different machines implementing this criteria
    get different results from identical inputs then we
    know that Pathological Self-Reference has been detected.

    We don't even need to know that for:
    *denial-of-service-attack detection*
    *NO always means reject as unsafe*


    Which means, when you understand what the words ACTUALLY MEAN, is that
    H is allowed to abort is simulation, if it can CORRECTLY DETERMINE,
    that the ACTUAL CORRECT SIMULATION (ie with a different machine that
    never stops simulating, ie a UTM) would never stop.


    The key is whether or not it can be thwarted by any of
    the conventional halting problem proofs.

    *This is stipulated to be the criteria*

    Then you are stipulating to not be working on the Halting Problem.

    Remember, you are allowed to LIE, but you do anyway, so you don't
    actually show anything you claim, except that nothing you say should be trusted, or though at usable.

    Will you halt if you never abort your simulation?
    Can it be thwarted by any of the conventional HP proofs?

    This giving to the UTM doesn't change the machine represented on the
    tape, fot H^ it is still using the copy of H, as you finally decided
    to make it, so if that aborts and returns qn, then H^'s submachine
    copy of H at H^.H will ALSO abort its simulation and return to qn, and
    H^ will then Halt, making H wrong, because it didn't CORRECTLY
    DETERMINE that the UTM simulating this input would never halt.

    So, your definition of DOS detection is allowing false positives for
    non-halting detection, which is fine if you don't mind some wrong
    answers, but doesn't make it a HALT DECIDER.

    You are just ADMITTING that you have been LYING about this, (LYING
    since you claim it applies to the Linz proof, which is about Halt
    Deciders, not DOS detectors).


    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Wed Mar 13 17:44:26 2024
    XPost: sci.logic

    On 13/03/24 04:55, olcott wrote:
    On 3/12/2024 10:49 PM, Richard Damon wrote:

    Not quite. It always gets the wrong answer, but only one of them for
    each quesiton.


    They all gets the wrong answer on a whole class of questions

    Wrong. You said. yourself. that H1 gets the right answer for D.

    because epistemological antinomies are not rejected as semantically invalid input.

    For EACH SEPARATE definition of H, and thus H^, we have a different
    question.


    They are all the same epistemological antinomy category of question.

    1+1 and 2+2 are in the same category of question. This does not mean
    that when Billy says that 1+1=4 and Bobby says that 2+2=2 that these
    questions have no correct answers.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mikko@21:1/5 to Richard Damon on Wed Mar 13 19:04:11 2024
    On 2024-03-12 18:00:11 +0000, Richard Damon said:

    There is no problem with making a H^ from an H, it is built from
    totally legal steps.

    Another way to say the same is that if H^ cannot be built
    the H does not exist.

    --
    Mikko

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mikko@21:1/5 to olcott on Wed Mar 13 19:02:18 2024
    On 2024-03-12 15:52:10 +0000, olcott said:

    On 3/12/2024 5:20 AM, Mikko wrote:
    On 2024-03-11 16:02:28 +0000, olcott said:

    On 3/11/2024 10:12 AM, Mikko wrote:
    On 2024-03-11 14:54:34 +0000, olcott said:

    On 3/11/2024 5:45 AM, Mikko wrote:
    On 2024-03-11 04:38:40 +0000, olcott said:

    On 3/10/2024 11:10 PM, Richard Damon wrote:
    On 3/10/24 8:33 PM, olcott wrote:
    On 3/10/2024 9:13 PM, Richard Damon wrote:
    On 3/10/24 7:05 PM, olcott wrote:
    On 3/10/2024 8:52 PM, Richard Damon wrote:
    On 3/10/24 6:00 PM, olcott wrote:
    On 3/10/2024 2:23 PM, Richard Damon wrote:
    On 3/10/24 11:23 AM, olcott wrote:
    On 3/10/2024 12:55 PM, Richard Damon wrote:
    On 3/10/24 10:17 AM, olcott wrote:
    On 3/10/2024 12:08 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>> On 3/10/24 9:52 AM, olcott wrote:
    On 3/10/2024 10:50 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 3/10/24 7:28 AM, olcott wrote:
    On 3/10/2024 12:16 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/9/24 9:49 PM, olcott wrote:
    On 3/9/2024 11:36 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/9/24 9:14 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 10:55 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/24 8:30 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 7:40 PM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>> On 10/03/24 02:37, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 7:32 PM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 10/03/24 02:29, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 7:24 PM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 10/03/24 01:30, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 6:24 PM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 10/03/24 01:22, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 5:57 PM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 10/03/24 00:26, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 5:10 PM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 9/03/24 23:22, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 3:50 PM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 9/03/24 22:34, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> What criteria would you use so that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ knows what
    wrong answer to provide? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is stipulated to use the exact same objective criteria that
    H ⟨Ĥ⟩ uses. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Simulating halt deciders must make sure that they themselves
    do not get stuck in infinite execution. This means that they
    must abort every simulation that cannot possibly otherwise halt.

    This requires Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ to abort its simulation and does not
    require H ⟨Ĥ⟩ ⟨Ĥ⟩ to abort its simulation when Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ aborts
    its simulation. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ does simulate itself in recursive simulation H ⟨Ĥ⟩ ⟨Ĥ⟩
    does not simulate itself in recursive simulation.


    Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is stipulated to use the exact same objective criteria that
    H ⟨Ĥ⟩ uses. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    *Only because Ĥ.H is embedded within Ĥ and H is not*
    Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ can possibly get stuck in recursive simulation and
    H ⟨Ĥ⟩ ⟨Ĥ⟩ cannot possibly get stuck in recursive simulation.


    You dishonestly ignored that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is stipulated to use the exact
    same OBJECTIVE criteria that H ⟨Ĥ⟩ uses.

    The above is true no matter what criteria that is used
    as long as H is a simulating halt decider. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Objective criteria cannot vary based on who the subject is. They are
    objective. The answer to different people is the same answer if the
    criteria are objective. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    It is objectively true that Ĥ.H can get stuck in recursive
    simulation because Ĥ copies its input thus never runs
    out of params. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    It is objectively true that Ĥ cannot possibly get stuck
    in recursive because H does not copy its input thus runs
    out of params. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Wrong. Dead wrong. Stupidly wrong. So wrong that a dead monkey could do
    better. Write the Olcott machine (not x86utm) code for Ĥ and I would
    show you.

    *In other words you are denying these verified facts*
    *In other words you are denying these verified facts*
    *In other words you are denying these verified facts*

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt

    That's not a verified fact, that's just something you want to be true.

    ∞ means infinite loop. Infinite loop doesn't halt. You see how stupid
    it is, to say that an infinite loop halts? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Execution trace of Ĥ applied to ⟨Ĥ⟩ >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> (a) Ĥ.q0 The input ⟨Ĥ⟩ is copied then transitions to Ĥ.H
    (b) Ĥ.H applied ⟨Ĥ⟩ ⟨Ĥ⟩ (input and copy) simulates ⟨Ĥ⟩ applied to ⟨Ĥ⟩
    (c) which begins at its own simulated ⟨Ĥ.q0⟩ to repeat the process

    Execution trace of H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ BECAUSE IT IS PRECISELY
    IDENTICAL TO STEPS B AND C: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>  > (b) Ĥ.H applied ⟨Ĥ⟩ ⟨Ĥ⟩ (input and copy) simulates ⟨Ĥ⟩ applied to ⟨Ĥ⟩
    (c) which begins at Ĥ's own simulated ⟨Ĥ.q0⟩ to repeat the process


    *Yes and the key step of copying its input is left out so*
    *H ⟨Ĥ⟩ ⟨Ĥ⟩ runs out of params and Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ never runs out of params*


    that isn't how any of this works. Do you even know what words mean?

    (b) and (c) are not the same as (1) and (2) >>>>>>>>>>>>>>>>>>>>>>>>>>> Execution trace of H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ >>>>>>>>>>>>>>>>>>>>>>>>>>> (1) H applied ⟨Ĥ⟩ ⟨Ĥ⟩ simulates ⟨Ĥ⟩ applied to ⟨Ĥ⟩
    (2) which begins at simulated ⟨Ĥ.q0⟩ >>>>>>>>>>>>>>>>>>>>>>>>>>> (a) Ĥ.q0 The input ⟨Ĥ⟩ is copied then transitions to Ĥ.H
    (b) Ĥ.H applied ⟨Ĥ⟩ ⟨Ĥ⟩ (input and copy) simulates ⟨Ĥ⟩ applied to ⟨Ĥ⟩
    (c) which begins at its own simulated ⟨Ĥ.q0⟩ to repeat the process

    This means that Turing machine H ⟨Ĥ⟩ ⟨Ĥ⟩ can see one more execution
    trace of Ĥ ⟨Ĥ⟩ than its simulated Turing machine Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ can see.


    Nope, your just being stuupid, perhaps intentionally.
    (c) just moves around to its simulation of a >>>>>>>>>>>>>>>>>>>>>>>>>>

    (a) H^.q0 (H^)
    H^ then makes a copy of its inp >>>>>>>>>>>>>>>>>>>>>>>>>>
    (b) H^.H (H^) (H^) == (1) H (H^) (H^) >>>>>>>>>>>>>>>>>>>>>>>>>> The algorithm of H begins a simulation of its input, watching the
    behaior of H^ (H^)

    (c) = (2)
    Which begins at the simulation of H^.q0 (H^) >>>>>>>>>>>>>>>>>>>>>>>>>>
    (d = sim a) = (sim a)
    Ths Simulated H^.q0 (H^) makes a copy of its input >>>>>>>>>>>>>>>>>>>>>>>>>>
    (e = sim b) = (sim b)
    The Simulated H^.H (H^) (H^) has is H begin the simulation of its input ...

    and so on.

    Both machine see EXACTLY the same level of details. >>>>>>>>>>>>>>>>>>>>>>>>>>
    Yes, the top level H is farther along at any given time then its
    simulated machine, and that is H's problem, it has to act before it
    sees how its simulation will respond to its copy of its actions.

    Thus, if it stops, it needs to make its decision "blind" and not with
    an idea of how the machine it is simulating will perform.

    If it doesn't stop, the level of recursion just keeps growing and no
    answer ever comes out.

    The earliest point that H ⟨Ĥ⟩ ⟨Ĥ⟩ can possibly see to abort
    its simulation is immediately before Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ would begin
    its simulation. Right before its cycle repeats the first time.



    So?

    If it DOES abort there, then so will H^.H when it gets to that point in
    its simulation, which will be AFTER The point that H has stopped
    simulating it, so H doesn't know what H^ will do. >>>>>>>>>>>>>>>>>>>>>>>>
    Thus, if H DOES abort there, we presume from your previous answer it
    will think the input will not halt and answer qn. >>>>>>>>>>>>>>>>>>>>>>>>
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    H ⟨Ĥ⟩ ⟨Ĥ⟩ aborts right after Ĥ.Hq0 before it simulates ⟨Ĥ⟩ ⟨Ĥ⟩.

    And if it does, as I said below, so will H^.H when it is run.

    Yes.

    And thus, H^.H will give the same answer as H, >>>>>>>>>>>>>>>>>>>> so H^ will act contrary to what H says, >>>>>>>>>>>>>>>>>>>> so H will give the wrong answer.

    Unlike anything else that anyone else has ever done both H ⟨Ĥ⟩ ⟨Ĥ⟩
    and Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ correctly determine that they must abort their own
    simulation to prevent their own infinite execution. >>>>>>>>>>>>>>>>>>
    NOPE.

    If no source can be cited then the Olcott thesis >>>>>>>>>>>>>>>>> "that no one did this before" remains unrefuted. >>>>>>>>>>>>>>>>
    Since, BY THE DEFINITIONS of what H MUST do to be correct, and what H^
    WILL do by its design, as shown in the Linz Proof. >>>>>>>>>>>>>>>
    If no source can be cited that shows a simulating halt decider can
    correctly determine that it must abort its simulation of the Halting
    Problem's pathological input to prevent its own non-termination, then
    innovation remains attributable to me.

    <snip>

    Of course it can abort its simulation.

    It just needs some way to get the right answer.


    *I have always been using this long before I read about it* >>>>>>>>>>>>> blind variation and selective retention (BVSR)...
    Two common phenomena characterize BVSR thinking: superfluity and >>>>>>>>>>>>> backtracking. Superfluity means that the creator generates a variety of
    ideas, one or more of which turn out to be useless.

    But if you have mo idea how things actually works, this seems to just
    generate random noise.


    Backtracking signifies that the creator must often return to an earlier
    approach after blindly going off in the wrong direction. >>>>>>>>>>>>> https://www.scientificamerican.com/article/the-science-of-genius/ >>>>>>>>>>>>>
    *I am aware of no one else that had the idea to apply a simulating*
    *termination analyzer to the halting problem counter-example input*
    Professor Hehner had a seed of this idea before I did. >>>>>>>>>>>>
    Nope, I remember talk of that when I was in college, and they showed
    why it can't work.


     From a programmer's point of view, if we apply an interpreter to a
    program text that includes a call to that same interpreter with that
    same text as argument, then we have an infinite loop. A halting program
    has some of the same character as an interpreter: it applies to texts
    through abstract interpretation. Unsurprisingly, if we apply a halting
    program to a program text that includes a call to that same halting
    program with that same text as argument, then we have an infinite loop.
    https://www.cs.toronto.edu/~hehner/PHP.pdf

    You THINK so, but if the interpreter is a CONDITIONAL interpreter, that
    doesn't hold.

    You seem to miss that fact.


    *Turing Machine and Olcott machine implementations seem to be dead*
    *This the (possibly augmented) RASP machine equivalent of x86* >>>>>>>>>>>>> Every machine must be able to get its own machine address. >>>>>>>>>>>>>

    And the reason it is a dead end is they make it too hard for you to cheat.

    You need to hide that your H is trying to get in some extra information
    to hide that the embedded version of H doesn't give the same answer,
    which just shows that your H^ is built wrong.

    My C code proves these two have different behavior:
    (a) H1(D,D) + H1_machine_address
    (b) H(D,D) + H_machine_address
    H1(D,D) does correctly determine the halt status of D(D) because >>>>>>>>>>> H(D,D) does NOT correctly determine the halt status of D(D). >>>>>>>>>>>
    I say:
    H1(D,D) is isomorphic to H ⟨Ĥ⟩ ⟨Ĥ⟩
    H(D,D) is isomorphic to Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩

    immibis disagrees.
    Correct reasoning will show who is correct.


    Yes, and since H1 is a different computation than H, it getting the >>>>>>>>>> right answer doesn't keep H from being broken.

    We can then make a D1 to break H1.


    I think that immibis already said that and I did not notice
    the significance of it at the time.


    Of course.

    Then we are back to undecidability being incorrectly construed >>>>>>>>> as an actual limit to computation.

    Strange definition of not an actual limit if not being able to do >>>>>>>> something isn't a limit.


    Professor's Hehner and Stoddart have only construed this as
    applying to the Halting Problem's pathological input.

    We three perfectly agree on this as it pertains to the
    Halting Problem.

    That two full PhD professors of computer science and I all
    agree on this shows that I am not a crackpot/crank on this.
    I think that all of the other options may now be exhausted.

    I am very happy that I quit tolerating the [change the subject] >>>>>>>>> form of rebuttal that wasted 15 years with Ben Bacarisse.

    *The focus now must be on finding the best words that prove* >>>>>>>>> *this original position of mine (thus the concurring positions* >>>>>>>>> *of professors Hehner and Stoddart) is correct*

    Go knock yourself out on that.


    Alan Turing's Halting Problem is incorrectly formed (PART-TWO) sci.logic
    On 6/20/2004 11:31 AM, Peter Olcott wrote:
    PREMISES:
    (1) The Halting Problem was specified in such a way that a solution
    was defined to be impossible.

    Nope.

    The PROBLEM is the question if a machine can compute the Halting Function.

    The answer to that, has turned out to be NO.

    When the problem was first being posed, it was hoped the answer woudl >>>>>>>> be yes, so it couldn't have bee made specifically to make it impossible.


    The Halting QUESTION, has an answer for every input that it the >>>>>>>> description of an actual algorithm applied to an actual data input. >>>>>>>>
    Note, Not a "Template" that gets appled to the decider, that IS an >>>>>>>> invalid question, and impossible to build a description of a Turing >>>>>>>> Machine to ask that.

    Thus, when you admitted that your input wasn't actually a description >>>>>>>> of a program, but just a template, you were admitting that you were >>>>>>>> lying about working on the Halting Problem, as your input isn't of the >>>>>>>> right type.

    Yes, asking about a template IS an invalid question.

    ;
    (2) The set of questions that are defined to not have any possible
    correct answer(s) forms a proper subset of all possible questions.


    And, when you are asking the actual Halting Question, about a specific >>>>>>>> machine and input, like a SPECIFIC H^, built to foil a SPECIIFIC H, >>>>>>>> then that input has a specific and definate behavior and there is a >>>>>>>> specific and definate answer (That depends on the H that you chose to >>>>>>>> build it on, but not the decider you are asking the question to). >>>>>>>>
    CONCLUSION:
    Therefore the Halting Problem is an ill-formed question. >>>>>>>>>  >

    Nope, as explained above. You are just showing that you never
    understood the actual question or what any of the theory actually >>>>>>>> means, and have just wasted the last decades of your life on a stupid >>>>>>>> misconception of your own.

    USENET Message-ID:
    <kZiBc.103407$Gx4.18142@bgtnsc04-news.ops.worldnet.att.net>

    *Direct Link to original message*
    http://al.howardknight.net/?STYPE=msgid&MSGI=%3CkZiBc.103407%24Gx4.18142%40bgtnsc04-news.ops.worldnet.att.net%3E+


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt

    That YES and NO are the wrong answer for each implementation of
    Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ specified by the second ⊢* state transition proves that the
    questions asked of these machine/inputs pairs are incorrect questions. >>>>>>
    An incorrect answer does not mean that the question is incorrect.


    When every element of the infinite set of every possible
    implementation of Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ gets the wrong answer then
    there is something wrong with the question.

    According to the definition by Linz there is only one Ĥ for each H.
    Anyway, a wrong answer, even if given in large quentities, does
    not make the question worng.

    None-the-less the infinite set of every implementation of
    H/Ĥ.H cannot possibly get an answer that is consistent with
    the behavior of of Ĥ ⟨Ĥ⟩.

    The infinite set is not expected to answer. And the set is
    infinite only if you include defective imiplementations.

    Anyway, no memeber of the set of implementations can get
    an answer that is consistent with the corresponding counter
    example.


    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    There is some input TMD to every H such that
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    When we disallow decider/input pairs that are incorrect
    questions where both YES and NO are the wrong answer
    (the same way the ZFC disallowed self-referential sets) then
    pathological inputs are not allowed to come into existence.

    No question of the type "Does T(I) halt?" is incorrect
    in that sense.

    Does the barber that shaves everyone that does not shave
    themselves shave himself? is rejected as an incorrect question. https://en.wikipedia.org/wiki/Barber_paradox#

    The answer "Yes" is correct because no such barber fails to
    shave himself.

    The answer "No" is correct because no such barber shaves himself.

    Because the qeustion can be correctly answered "Yes" or "No"
    the question is not incorrect.

    --
    Mikko

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Wed Mar 13 10:29:05 2024
    On 3/13/24 10:11 AM, olcott wrote:
    On 3/13/2024 12:04 PM, Mikko wrote:
    On 2024-03-12 18:00:11 +0000, Richard Damon said:

    There is no problem with making a H^ from an H, it is built from
    totally legal steps.

    Another way to say the same is that if H^ cannot be built
    the H does not exist.


    The proof of the halting problem assumes a universal halt test
    exists and then provides S as an example of a program that the
    test cannot handle. But S is not a program at all. It is not
    even a conceptual object, and this is due to inconsistencies
    in the specification of the halting function. (Stoddart: 2017)


    If that S is not a program, then H wasn't a program either,

    Stoddart just doesn't understand the basics of Compuation Theory.

    That isn't that surprizing, in many ways for modern Computer Science it
    is ancient background foundations that aren't directly relevant.

    The problem comes when you start to make assertions in a field you don't actually know.

    This is a classic example of Dunning Kruger at work,

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Wed Mar 13 10:36:21 2024
    On 3/13/24 10:14 AM, olcott wrote:
    On 3/13/2024 12:02 PM, Mikko wrote:
    On 2024-03-12 15:52:10 +0000, olcott said:


    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    There is some input TMD to every H such that
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    When we disallow decider/input pairs that are incorrect
    questions where both YES and NO are the wrong answer
    (the same way the ZFC disallowed self-referential sets) then
    pathological inputs are not allowed to come into existence.

    No question of the type "Does T(I) halt?" is incorrect
    in that sense.

    The self-contradictory instances are all incorrect.

    But no instance is SELF contradictory,

    H^ is H contradictory, not H^ contradictory, as H^ isn't a decider.


    Does the barber that shaves everyone that does not shave
    themselves shave himself? is rejected as an incorrect question.
    https://en.wikipedia.org/wiki/Barber_paradox#

    The answer "Yes" is correct because no such barber fails to
    shave himself.

    The answer of YES affirms a false presupposition thus is incorrect.

    Nope. The question about properties of a thing that doesn't exist is
    ambiguous.

    Only in the assumption that answering about the properties of something
    asserts that it exists is there are error.


    The answer "No" is correct because no such barber shaves himself.

    The answer of NO affirms a false presupposition thus is incorrect.

    Because the qeustion can be correctly answered "Yes" or "No"
    the question is not incorrect.



    We can say that ALL Barbers that shaves everyone that doesn't shave
    themselves have the property that they shave themselves.

    We can also say that NO Barbers that shave everyone that doesn't shave themselves have the property that they shave themeelves.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Wed Mar 13 10:52:32 2024
    XPost: sci.logic

    On 3/13/24 10:08 AM, olcott wrote:
    On 3/13/2024 11:44 AM, immibis wrote:
    On 13/03/24 04:55, olcott wrote:
    On 3/12/2024 10:49 PM, Richard Damon wrote:

    Not quite. It always gets the wrong answer, but only one of them for
    each quesiton.


    They all gets the wrong answer on a whole class of questions

    Wrong. You said. yourself. that H1 gets the right answer for D.


    Since it is a logical impossibility to determine the truth
    value of a self-contradictory expression the requirement
    for H to do this is bogus.

    Shows you are just a LIAR, as there IS a truth value to the expression
    that is the requirment for ANY SPECIFIC H.

    As has been shown.

    You are just proving you are a pathological liar because you refuse to
    learn what the truth actually is here.

    It isn't an "Honest Mistake", but might be a mental deficiency (thus
    Pathology)


    because epistemological antinomies are not rejected as semantically
    invalid input.

    For EACH SEPARATE definition of H, and thus H^, we have a different
    question.


    They are all the same epistemological antinomy category of question.

    1+1 and 2+2 are in the same category of question. This does not mean
    that when Billy says that 1+1=4 and Bobby says that 2+2=2 that these
    questions have no correct answers.




    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Wed Mar 13 20:15:28 2024
    On 13/03/24 18:11, olcott wrote:
    On 3/13/2024 12:04 PM, Mikko wrote:
    On 2024-03-12 18:00:11 +0000, Richard Damon said:

    There is no problem with making a H^ from an H, it is built from
    totally legal steps.

    Another way to say the same is that if H^ cannot be built
    the H does not exist.


    The proof of the halting problem assumes a universal halt test
    exists and then provides S as an example of a program that the
    test cannot handle. But S is not a program at all. It is not
    even a conceptual object, and this is due to inconsistencies
    in the specification of the halting function. (Stoddart: 2017)

    This is obviously bullshit. Why do you lie?

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Wed Mar 13 21:40:13 2024
    On 13/03/24 20:24, olcott wrote:
    On 3/13/2024 2:15 PM, immibis wrote:
    On 13/03/24 18:11, olcott wrote:
    On 3/13/2024 12:04 PM, Mikko wrote:
    On 2024-03-12 18:00:11 +0000, Richard Damon said:

    There is no problem with making a H^ from an H, it is built from
    totally legal steps.

    Another way to say the same is that if H^ cannot be built
    the H does not exist.


    The proof of the halting problem assumes a universal halt test
    exists and then provides S as an example of a program that the
    test cannot handle. But S is not a program at all. It is not
    even a conceptual object, and this is due to inconsistencies
    in the specification of the halting function. (Stoddart: 2017)

    This is obviously bullshit. Why do you lie?

    That was cited as a statement from Bill Stoddart and a direct quote
    from this paper.

    Bill Stoddart. The Halting Paradox
    20 December 2017
    https://arxiv.org/abs/1906.05340
    arXiv:1906.05340 [cs.LO]

    And it's obviously bullshit. Why do you lie?

    That you call me a liar about this meets the required definition of
    reckless disregard for the truth required for libel and slander. https://dictionary.findlaw.com/definition/reckless-disregard-of-the-truth.html

    Does that mean you libelled and slandered the halting problem?

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Wed Mar 13 14:32:04 2024
    On 3/13/24 12:24 PM, olcott wrote:
    On 3/13/2024 2:15 PM, immibis wrote:
    On 13/03/24 18:11, olcott wrote:
    On 3/13/2024 12:04 PM, Mikko wrote:
    On 2024-03-12 18:00:11 +0000, Richard Damon said:

    There is no problem with making a H^ from an H, it is built from
    totally legal steps.

    Another way to say the same is that if H^ cannot be built
    the H does not exist.


    The proof of the halting problem assumes a universal halt test
    exists and then provides S as an example of a program that the
    test cannot handle. But S is not a program at all. It is not
    even a conceptual object, and this is due to inconsistencies
    in the specification of the halting function. (Stoddart: 2017)

    This is obviously bullshit. Why do you lie?

    That was cited as a statement from Bill Stoddart and a direct quote
    from this paper.

    Bill Stoddart. The Halting Paradox
    20 December 2017
    https://arxiv.org/abs/1906.05340
    arXiv:1906.05340 [cs.LO]

    That you call me a liar about this meets the required definition of
    reckless disregard for the truth required for libel and slander. https://dictionary.findlaw.com/definition/reckless-disregard-of-the-truth.html



    And repeating lies and error just shows that your lie and believe the
    errors.

    Since it has been pointed out that he was WRONG in his statement, there
    is no "reckless disreguard for the truth"

    YOU are the one that shows a "reckless disregard for the truth",
    (because you refuse to learn the truth) and thus YOUR statements could
    make you subject to Libel and Slander.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Wed Mar 13 14:39:03 2024
    XPost: sci.logic

    On 3/13/24 1:52 PM, olcott wrote:
    On 3/13/2024 12:52 PM, Richard Damon wrote:
    On 3/13/24 10:08 AM, olcott wrote:
    On 3/13/2024 11:44 AM, immibis wrote:
    On 13/03/24 04:55, olcott wrote:
    On 3/12/2024 10:49 PM, Richard Damon wrote:

    Not quite. It always gets the wrong answer, but only one of them
    for each quesiton.


    They all gets the wrong answer on a whole class of questions

    Wrong. You said. yourself. that H1 gets the right answer for D.


    Since it is a logical impossibility to determine the truth
    value of a self-contradictory expression the requirement
    for H to do this is bogus.

    Shows you are just a LIAR, as there IS a truth value to the expression
    that is the requirment for ANY SPECIFIC H.


    *Lying about me being a liar may possibly cost your soul*
    *Lying about me being a liar may possibly cost your soul*
    *Lying about me being a liar may possibly cost your soul*

    There is no mapping from H(D,D) to Halts(D,D) that exists.
    This proves that H(D,D) is being asked an incorrect question.


    Why, because it is NOT a LIE.

    You don't even know the definiton of an incorrect question.

    The fact that there DOES exist a mapping Halt(M,d) that maps all Turing Machines and there input to a result of Halting / Non-Halting for EVERY
    member of that input set, means tha Halts is a valid mapping to ask a
    decider to try to decider.

    The fact that no machine that exist that computes that mapping, means
    the mapping is uncomputable.

    Perhaps you should actually learn the technical meaning of the terms
    before you state LIES about them.

    Yes, I guess it would be an incorrect question to ask what a correct
    halt decider computes for a given input, the best I can interprete your statement, since no H that does that can exist, but that isn't what the question asks.

    You are just stuck in the LIES you have created with your strawmen and ignorance of the subject you are talking about.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Wed Mar 13 15:28:36 2024
    On 3/13/24 2:45 PM, olcott wrote:
    On 3/13/2024 4:32 PM, Richard Damon wrote:
    On 3/13/24 1:59 PM, olcott wrote:
    On 3/13/2024 3:40 PM, immibis wrote:
    On 13/03/24 20:24, olcott wrote:
    On 3/13/2024 2:15 PM, immibis wrote:
    On 13/03/24 18:11, olcott wrote:
    On 3/13/2024 12:04 PM, Mikko wrote:
    On 2024-03-12 18:00:11 +0000, Richard Damon said:

    There is no problem with making a H^ from an H, it is built
    from totally legal steps.

    Another way to say the same is that if H^ cannot be built
    the H does not exist.


    The proof of the halting problem assumes a universal halt test
    exists and then provides S as an example of a program that the
    test cannot handle. But S is not a program at all. It is not
    even a conceptual object, and this is due to inconsistencies
    in the specification of the halting function. (Stoddart: 2017)

    This is obviously bullshit. Why do you lie?

    That was cited as a statement from Bill Stoddart and a direct quote
    from this paper.

    Bill Stoddart. The Halting Paradox
    20 December 2017
    https://arxiv.org/abs/1906.05340
    arXiv:1906.05340 [cs.LO]

    And it's obviously bullshit. Why do you lie?

    It is not even me speaking so it can't be me lying.

    Repeating another lies is a form of lie.

    Revelations 21:8 NRSV
    ...all liars, their place will be in the lake that burns
    with fire and sulphur, which is the second death.’


    But since I am not lying, I'm safe.

    YOU are the one speaking untruths and saying they are true. (because you refuese to learn what is true)


    That you call me a liar about this meets the required definition of
    reckless disregard for the truth required for libel and slander.
    https://dictionary.findlaw.com/definition/reckless-disregard-of-the-truth.html

    Does that mean you libelled and slandered the halting problem?

    Yet again Trollish behavior




    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Wed Mar 13 15:36:44 2024
    On 3/13/24 2:44 PM, olcott wrote:
    On 3/13/2024 4:32 PM, Richard Damon wrote:
    On 3/13/24 12:24 PM, olcott wrote:
    On 3/13/2024 2:15 PM, immibis wrote:
    On 13/03/24 18:11, olcott wrote:
    On 3/13/2024 12:04 PM, Mikko wrote:
    On 2024-03-12 18:00:11 +0000, Richard Damon said:

    There is no problem with making a H^ from an H, it is built from >>>>>>> totally legal steps.

    Another way to say the same is that if H^ cannot be built
    the H does not exist.


    The proof of the halting problem assumes a universal halt test
    exists and then provides S as an example of a program that the
    test cannot handle. But S is not a program at all. It is not
    even a conceptual object, and this is due to inconsistencies
    in the specification of the halting function. (Stoddart: 2017)

    This is obviously bullshit. Why do you lie?

    That was cited as a statement from Bill Stoddart and a direct quote
    from this paper.

    Bill Stoddart. The Halting Paradox
    20 December 2017
    https://arxiv.org/abs/1906.05340
    arXiv:1906.05340 [cs.LO]

    That you call me a liar about this meets the required definition of
    reckless disregard for the truth required for libel and slander.
    https://dictionary.findlaw.com/definition/reckless-disregard-of-the-truth.html



    And repeating lies and error just shows that your lie and believe the
    errors.

    I believe what I say or I wouldn't say it.

    And if it is in error, and you SHOULD know it is in error, then it is a LIE.


    Revelations 21:8 NRSV
    ...all liars, their place will be in the lake that burns
    with fire and sulphur, which is the second death.’

    Which since I haven't lied here, I'm ok

    YOU are the one that refuses to beleive the actual defintion of things
    and thus LIE by telling things that are blantantly untrue, which you
    have been given the oppertunity to understand they are untrue, but
    refuse to do it, makes your statement lies, even if you believe them.

    Trying to restrict the word "Lies" to only know false statements, is
    itself a LIE, since it is an accepted meaning for the more general case
    of blantently wrong statements, even if firmly beleived.


    Since it has been pointed out that he was WRONG in his statement,
    there is no "reckless disreguard for the truth"

    He called me a liar because he did not bother to even notice
    that I was quoting someone else's words this is definitely
    a "reckless disregard for the truth".

    And repeating a lie can be a lie.

    Why do you think Trump's gag orders inluceded reposting things?


    YOU are the one that shows a "reckless disregard for the truth",
    (because you refuse to learn the truth) and thus YOUR statements could
    make you subject to Libel and Slander.

    I did not commit libel against the halting problem as immbis suggested.

    sayig something with reckless disregard for the truth, even if firmly
    believed, is Libel and Slander.

    The test is would a REASONABLE person have believed it, not the idiot.


    On 3/13/2024 3:40 PM, immibis wrote:
    Does that mean you libelled and slandered the halting problem?




    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Wed Mar 13 15:43:38 2024
    XPost: sci.logic

    On 3/13/24 2:54 PM, olcott wrote:
    On 3/13/2024 4:39 PM, Richard Damon wrote:
    On 3/13/24 1:52 PM, olcott wrote:
    On 3/13/2024 12:52 PM, Richard Damon wrote:
    On 3/13/24 10:08 AM, olcott wrote:
    On 3/13/2024 11:44 AM, immibis wrote:
    On 13/03/24 04:55, olcott wrote:
    On 3/12/2024 10:49 PM, Richard Damon wrote:

    Not quite. It always gets the wrong answer, but only one of them >>>>>>>> for each quesiton.


    They all gets the wrong answer on a whole class of questions

    Wrong. You said. yourself. that H1 gets the right answer for D.


    Since it is a logical impossibility to determine the truth
    value of a self-contradictory expression the requirement
    for H to do this is bogus.

    Shows you are just a LIAR, as there IS a truth value to the
    expression that is the requirment for ANY SPECIFIC H.


    *Lying about me being a liar may possibly cost your soul*
    *Lying about me being a liar may possibly cost your soul*
    *Lying about me being a liar may possibly cost your soul*

    There is no mapping from H(D,D) to Halts(D,D) that exists.
    This proves that H(D,D) is being asked an incorrect question.


    Why, because it is NOT a LIE.

    You don't even know the definiton of an incorrect question.

    I invented it so I get to stipulate its meaning. https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term.


    The fact that there DOES exist a mapping Halt(M,d) that maps all
    Turing Machines and there input to a result of Halting / Non-Halting
    for EVERY member of that input set, means tha Halts is a valid mapping
    to ask a decider to try to decider.

    That part is true.
    Likewise when you ask a man that has never been married:
    Have you stopped beating tour wife?
    There are some men that have stopped beating their wife.

    Right, because that question include a presumption of something not
    actually present.


    The fact that no machine that exist that computes that mapping, means
    the mapping is uncomputable.

    Likewise the square-root of an actual banana is also uncomputable
    for the same logical impossibility reason.

    No, it is a different class of error, it is a categorical error.


    You don't understand that there can be different reasons for something
    to be incorrect.


    Perhaps you should actually learn the technical meaning of the terms
    before you state LIES about them.

    Revelations 21:8 NRSV
    ...all liars, their place will be in the lake that burns
    with fire and sulphur, which is the second death.’

    Yep, that seems to be where you will go,


    I am pointing out and correcting the incoherence of the
    meaning of these terms.


    But it is a LIE to use a word not in the accepted meaning of a field.

    YOU don't get to change it.

    Not understanding that has cause you to just become a pathological LIAR.

    You can create your own field, but then you need to actually do the work
    to create it.

    Or you can coin a new word with your meaning (are add a clear adjective
    to it)

    Yes, I guess it would be an incorrect question to ask what a correct
    halt decider computes for a given input, the best I can interprete
    your statement, since no H that does that can exist, but that isn't
    what the question asks.

    You are just stuck in the LIES you have created with your strawmen and
    ignorance of the subject you are talking about.

    *You know that I am not saying anything that I do not believe*

    Right, but that can still be a LIE, as I quote the definition.

    YOU don't get to change the meaning of words


    Revelations 21:8 NRSV
    ...all liars, their place will be in the lake that burns
    with fire and sulphur, which is the second death.’


    Which appears to be where you will go.

    You seem to have committed a number of the other qualification for that
    place too.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Thu Mar 14 01:24:02 2024
    XPost: sci.logic

    On 14/03/24 00:04, olcott wrote:
    On 3/13/2024 5:43 PM, Richard Damon wrote:
    On 3/13/24 2:54 PM, olcott wrote:
    That part is true.
    Likewise when you ask a man that has never been married:
    Have you stopped beating tour wife?
    There are some men that have stopped beating their wife.

    Right, because that question include a presumption of something not
    actually present.


    Although there is a mapping from some men to YES/NO
    there is no mapping from never unmarried men to YES/NO
    thus the question is incorrect for all unmarried men.

    Although there is a mapping from some TM/input pairs to YES/NO
    there is no mapping from H/D to YES/NO
    thus the question is incorrect for H/D

    Men who have never been married have never stopped beating their wives.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mikko@21:1/5 to olcott on Thu Mar 14 13:59:06 2024
    On 2024-03-13 17:11:06 +0000, olcott said:

    On 3/13/2024 12:04 PM, Mikko wrote:
    On 2024-03-12 18:00:11 +0000, Richard Damon said:

    There is no problem with making a H^ from an H, it is built from
    totally legal steps.

    Another way to say the same is that if H^ cannot be built
    the H does not exist.


    The proof of the halting problem assumes a universal halt test
    exists and then provides S as an example of a program that the
    test cannot handle. But S is not a program at all. It is not
    even a conceptual object, and this is due to inconsistencies
    in the specification of the halting function. (Stoddart: 2017)

    The last clause is wrong. The cause of inconsistencies is an
    assumption that is not a part of the theory of computation.

    --
    Mikko

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mikko@21:1/5 to immibis on Thu Mar 14 14:01:41 2024
    On 2024-03-13 19:15:28 +0000, immibis said:

    On 13/03/24 18:11, olcott wrote:
    On 3/13/2024 12:04 PM, Mikko wrote:
    On 2024-03-12 18:00:11 +0000, Richard Damon said:

    There is no problem with making a H^ from an H, it is built from
    totally legal steps.

    Another way to say the same is that if H^ cannot be built
    the H does not exist.


    The proof of the halting problem assumes a universal halt test
    exists and then provides S as an example of a program that the
    test cannot handle. But S is not a program at all. It is not
    even a conceptual object, and this is due to inconsistencies
    in the specification of the halting function. (Stoddart: 2017)

    This is obviously bullshit. Why do you lie?

    A bullshitter is not a liar. A bullshtter does not care about
    the truth. A liar cares enough to try to hide it.

    --
    Mikko

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mikko@21:1/5 to olcott on Thu Mar 14 14:11:03 2024
    On 2024-03-13 17:14:42 +0000, olcott said:

    On 3/13/2024 12:02 PM, Mikko wrote:
    On 2024-03-12 15:52:10 +0000, olcott said:

    On 3/12/2024 5:20 AM, Mikko wrote:
    On 2024-03-11 16:02:28 +0000, olcott said:

    On 3/11/2024 10:12 AM, Mikko wrote:
    On 2024-03-11 14:54:34 +0000, olcott said:

    On 3/11/2024 5:45 AM, Mikko wrote:
    On 2024-03-11 04:38:40 +0000, olcott said:

    On 3/10/2024 11:10 PM, Richard Damon wrote:
    On 3/10/24 8:33 PM, olcott wrote:
    On 3/10/2024 9:13 PM, Richard Damon wrote:
    On 3/10/24 7:05 PM, olcott wrote:
    On 3/10/2024 8:52 PM, Richard Damon wrote:
    On 3/10/24 6:00 PM, olcott wrote:
    On 3/10/2024 2:23 PM, Richard Damon wrote:
    On 3/10/24 11:23 AM, olcott wrote:
    On 3/10/2024 12:55 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>> On 3/10/24 10:17 AM, olcott wrote:
    On 3/10/2024 12:08 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 3/10/24 9:52 AM, olcott wrote:
    On 3/10/2024 10:50 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/10/24 7:28 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/10/2024 12:16 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/9/24 9:49 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 11:36 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/24 9:14 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 10:55 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/24 8:30 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 7:40 PM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 10/03/24 02:37, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 7:32 PM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 10/03/24 02:29, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 7:24 PM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 10/03/24 01:30, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 6:24 PM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 10/03/24 01:22, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 5:57 PM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 10/03/24 00:26, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 5:10 PM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 9/03/24 23:22, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/9/2024 3:50 PM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 9/03/24 22:34, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> What criteria would you use so that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ knows what
    wrong answer to provide? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is stipulated to use the exact same objective criteria that
    H ⟨Ĥ⟩ uses. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Simulating halt deciders must make sure that they themselves
    do not get stuck in infinite execution. This means that they
    must abort every simulation that cannot possibly otherwise halt.
    This requires Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ to abort its simulation and does not
    require H ⟨Ĥ⟩ ⟨Ĥ⟩ to abort its simulation when Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ aborts
    its simulation. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ does simulate itself in recursive simulation H ⟨Ĥ⟩ ⟨Ĥ⟩
    does not simulate itself in recursive simulation.
    Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is stipulated to use the exact same objective criteria that
    H ⟨Ĥ⟩ uses. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    *Only because Ĥ.H is embedded within Ĥ and H is not*
    Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ can possibly get stuck in recursive simulation and
    H ⟨Ĥ⟩ ⟨Ĥ⟩ cannot possibly get stuck in recursive simulation.


    You dishonestly ignored that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is stipulated to use the exact
    same OBJECTIVE criteria that H ⟨Ĥ⟩ uses.

    The above is true no matter what criteria that is used
    as long as H is a simulating halt decider.


    Objective criteria cannot vary based on who the subject is. They are
    objective. The answer to different people is the same answer if the
    criteria are objective. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    It is objectively true that Ĥ.H can get stuck in recursive
    simulation because Ĥ copies its input thus never runs
    out of params. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    It is objectively true that Ĥ cannot possibly get stuck
    in recursive because H does not copy its input thus runs
    out of params. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Wrong. Dead wrong. Stupidly wrong. So wrong that a dead monkey could do
    better. Write the Olcott machine (not x86utm) code for Ĥ and I would
    show you.

    *In other words you are denying these verified facts*
    *In other words you are denying these verified facts*
    *In other words you are denying these verified facts*

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt

    That's not a verified fact, that's just something you want to be true.

    ∞ means infinite loop. Infinite loop doesn't halt. You see how stupid
    it is, to say that an infinite loop halts? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Execution trace of Ĥ applied to ⟨Ĥ⟩ >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> (a) Ĥ.q0 The input ⟨Ĥ⟩ is copied then transitions to Ĥ.H
    (b) Ĥ.H applied ⟨Ĥ⟩ ⟨Ĥ⟩ (input and copy) simulates ⟨Ĥ⟩ applied to ⟨Ĥ⟩
    (c) which begins at its own simulated ⟨Ĥ.q0⟩ to repeat the process

    Execution trace of H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ BECAUSE IT IS PRECISELY
    IDENTICAL TO STEPS B AND C: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>  > (b) Ĥ.H applied ⟨Ĥ⟩ ⟨Ĥ⟩ (input and copy) simulates ⟨Ĥ⟩ applied to ⟨Ĥ⟩
    (c) which begins at Ĥ's own simulated ⟨Ĥ.q0⟩ to repeat the process


    *Yes and the key step of copying its input is left out so*
    *H ⟨Ĥ⟩ ⟨Ĥ⟩ runs out of params and Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ never runs out of params*


    that isn't how any of this works. Do you even know what words mean?

    (b) and (c) are not the same as (1) and (2) >>>>>>>>>>>>>>>>>>>>>>>>>>>>> Execution trace of H applied to ⟨Ĥ⟩ ⟨Ĥ⟩ >>>>>>>>>>>>>>>>>>>>>>>>>>>>> (1) H applied ⟨Ĥ⟩ ⟨Ĥ⟩ simulates ⟨Ĥ⟩ applied to ⟨Ĥ⟩
    (2) which begins at simulated ⟨Ĥ.q0⟩ >>>>>>>>>>>>>>>>>>>>>>>>>>>>> (a) Ĥ.q0 The input ⟨Ĥ⟩ is copied then transitions to Ĥ.H
    (b) Ĥ.H applied ⟨Ĥ⟩ ⟨Ĥ⟩ (input and copy) simulates ⟨Ĥ⟩ applied to ⟨Ĥ⟩
    (c) which begins at its own simulated ⟨Ĥ.q0⟩ to repeat the process

    This means that Turing machine H ⟨Ĥ⟩ ⟨Ĥ⟩ can see one more execution
    trace of Ĥ ⟨Ĥ⟩ than its simulated Turing machine Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ can see.


    Nope, your just being stuupid, perhaps intentionally.
    (c) just moves around to its simulation of a >>>>>>>>>>>>>>>>>>>>>>>>>>>>

    (a) H^.q0 (H^)
    H^ then makes a copy of its inp >>>>>>>>>>>>>>>>>>>>>>>>>>>>
    (b) H^.H (H^) (H^) == (1) H (H^) (H^) >>>>>>>>>>>>>>>>>>>>>>>>>>>> The algorithm of H begins a simulation of its input, watching the
    behaior of H^ (H^)

    (c) = (2)
    Which begins at the simulation of H^.q0 (H^) >>>>>>>>>>>>>>>>>>>>>>>>>>>>
    (d = sim a) = (sim a)
    Ths Simulated H^.q0 (H^) makes a copy of its input >>>>>>>>>>>>>>>>>>>>>>>>>>>>
    (e = sim b) = (sim b)
    The Simulated H^.H (H^) (H^) has is H begin the simulation of its input ...

    and so on.

    Both machine see EXACTLY the same level of details.

    Yes, the top level H is farther along at any given time then its
    simulated machine, and that is H's problem, it has to act before it
    sees how its simulation will respond to its copy of its actions.

    Thus, if it stops, it needs to make its decision "blind" and not with
    an idea of how the machine it is simulating will perform.

    If it doesn't stop, the level of recursion just keeps growing and no
    answer ever comes out.

    The earliest point that H ⟨Ĥ⟩ ⟨Ĥ⟩ can possibly see to abort
    its simulation is immediately before Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ would begin
    its simulation. Right before its cycle repeats the first time.



    So?

    If it DOES abort there, then so will H^.H when it gets to that point in
    its simulation, which will be AFTER The point that H has stopped
    simulating it, so H doesn't know what H^ will do. >>>>>>>>>>>>>>>>>>>>>>>>>>
    Thus, if H DOES abort there, we presume from your previous answer it
    will think the input will not halt and answer qn. >>>>>>>>>>>>>>>>>>>>>>>>>>
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    H ⟨Ĥ⟩ ⟨Ĥ⟩ aborts right after Ĥ.Hq0 before it simulates ⟨Ĥ⟩ ⟨Ĥ⟩.

    And if it does, as I said below, so will H^.H when it is run.

    Yes.

    And thus, H^.H will give the same answer as H, >>>>>>>>>>>>>>>>>>>>>> so H^ will act contrary to what H says, >>>>>>>>>>>>>>>>>>>>>> so H will give the wrong answer.

    Unlike anything else that anyone else has ever done both H ⟨Ĥ⟩ ⟨Ĥ⟩
    and Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ correctly determine that they must abort their own
    simulation to prevent their own infinite execution. >>>>>>>>>>>>>>>>>>>>
    NOPE.

    If no source can be cited then the Olcott thesis >>>>>>>>>>>>>>>>>>> "that no one did this before" remains unrefuted. >>>>>>>>>>>>>>>>>>
    Since, BY THE DEFINITIONS of what H MUST do to be correct, and what H^
    WILL do by its design, as shown in the Linz Proof. >>>>>>>>>>>>>>>>>
    If no source can be cited that shows a simulating halt decider can
    correctly determine that it must abort its simulation of the Halting
    Problem's pathological input to prevent its own non-termination, then
    innovation remains attributable to me.

    <snip>

    Of course it can abort its simulation.

    It just needs some way to get the right answer. >>>>>>>>>>>>>>>>

    *I have always been using this long before I read about it* >>>>>>>>>>>>>>> blind variation and selective retention (BVSR)... >>>>>>>>>>>>>>> Two common phenomena characterize BVSR thinking: superfluity and
    backtracking. Superfluity means that the creator generates a variety of
    ideas, one or more of which turn out to be useless. >>>>>>>>>>>>>>
    But if you have mo idea how things actually works, this seems to just
    generate random noise.


    Backtracking signifies that the creator must often return to an earlier
    approach after blindly going off in the wrong direction. >>>>>>>>>>>>>>> https://www.scientificamerican.com/article/the-science-of-genius/

    *I am aware of no one else that had the idea to apply a simulating*
    *termination analyzer to the halting problem counter-example input*
    Professor Hehner had a seed of this idea before I did. >>>>>>>>>>>>>>
    Nope, I remember talk of that when I was in college, and they showed
    why it can't work.


     From a programmer's point of view, if we apply an interpreter to a
    program text that includes a call to that same interpreter with that
    same text as argument, then we have an infinite loop. A halting program
    has some of the same character as an interpreter: it applies to texts
    through abstract interpretation. Unsurprisingly, if we apply a halting
    program to a program text that includes a call to that same halting
    program with that same text as argument, then we have an infinite loop.
    https://www.cs.toronto.edu/~hehner/PHP.pdf

    You THINK so, but if the interpreter is a CONDITIONAL interpreter, that
    doesn't hold.

    You seem to miss that fact.


    *Turing Machine and Olcott machine implementations seem to be dead*
    *This the (possibly augmented) RASP machine equivalent of x86* >>>>>>>>>>>>>>> Every machine must be able to get its own machine address. >>>>>>>>>>>>>>>

    And the reason it is a dead end is they make it too hard for you to cheat.

    You need to hide that your H is trying to get in some extra information
    to hide that the embedded version of H doesn't give the same answer,
    which just shows that your H^ is built wrong.

    My C code proves these two have different behavior:
    (a) H1(D,D) + H1_machine_address
    (b) H(D,D) + H_machine_address
    H1(D,D) does correctly determine the halt status of D(D) because >>>>>>>>>>>>> H(D,D) does NOT correctly determine the halt status of D(D). >>>>>>>>>>>>>
    I say:
    H1(D,D) is isomorphic to H ⟨Ĥ⟩ ⟨Ĥ⟩
    H(D,D) is isomorphic to Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩

    immibis disagrees.
    Correct reasoning will show who is correct.


    Yes, and since H1 is a different computation than H, it getting the
    right answer doesn't keep H from being broken.

    We can then make a D1 to break H1.


    I think that immibis already said that and I did not notice >>>>>>>>>>> the significance of it at the time.


    Of course.

    Then we are back to undecidability being incorrectly construed >>>>>>>>>>> as an actual limit to computation.

    Strange definition of not an actual limit if not being able to do >>>>>>>>>> something isn't a limit.


    Professor's Hehner and Stoddart have only construed this as >>>>>>>>>>> applying to the Halting Problem's pathological input.

    We three perfectly agree on this as it pertains to the
    Halting Problem.

    That two full PhD professors of computer science and I all >>>>>>>>>>> agree on this shows that I am not a crackpot/crank on this. >>>>>>>>>>> I think that all of the other options may now be exhausted. >>>>>>>>>>>
    I am very happy that I quit tolerating the [change the subject] >>>>>>>>>>> form of rebuttal that wasted 15 years with Ben Bacarisse. >>>>>>>>>>>
    *The focus now must be on finding the best words that prove* >>>>>>>>>>> *this original position of mine (thus the concurring positions* >>>>>>>>>>> *of professors Hehner and Stoddart) is correct*

    Go knock yourself out on that.


    Alan Turing's Halting Problem is incorrectly formed (PART-TWO)  sci.logic
    On 6/20/2004 11:31 AM, Peter Olcott wrote:
    PREMISES:
    (1) The Halting Problem was specified in such a way that a solution
    was defined to be impossible.

    Nope.

    The PROBLEM is the question if a machine can compute the Halting Function.

    The answer to that, has turned out to be NO.

    When the problem was first being posed, it was hoped the answer woudl
    be yes, so it couldn't have bee made specifically to make it impossible.


    The Halting QUESTION, has an answer for every input that it the >>>>>>>>>> description of an actual algorithm applied to an actual data input. >>>>>>>>>>
    Note, Not a "Template" that gets appled to the decider, that IS an >>>>>>>>>> invalid question, and impossible to build a description of a Turing >>>>>>>>>> Machine to ask that.

    Thus, when you admitted that your input wasn't actually a description
    of a program, but just a template, you were admitting that you were >>>>>>>>>> lying about working on the Halting Problem, as your input isn't of the
    right type.

    Yes, asking about a template IS an invalid question.

    ;
    (2) The set of questions that are defined to not have any possible
    correct answer(s) forms a proper subset of all possible questions.


    And, when you are asking the actual Halting Question, about a specific
    machine and input, like a SPECIFIC H^, built to foil a SPECIIFIC H, >>>>>>>>>> then that input has a specific and definate behavior and there is a >>>>>>>>>> specific and definate answer (That depends on the H that you chose to
    build it on, but not the decider you are asking the question to). >>>>>>>>>>
    CONCLUSION:
    Therefore the Halting Problem is an ill-formed question. >>>>>>>>>>>  >

    Nope, as explained above. You are just showing that you never >>>>>>>>>> understood the actual question or what any of the theory actually >>>>>>>>>> means, and have just wasted the last decades of your life on a stupid
    misconception of your own.

    USENET Message-ID:
    <kZiBc.103407$Gx4.18142@bgtnsc04-news.ops.worldnet.att.net> >>>>>>>>>>>
    *Direct Link to original message*
    http://al.howardknight.net/?STYPE=msgid&MSGI=%3CkZiBc.103407%24Gx4.18142%40bgtnsc04-news.ops.worldnet.att.net%3E+


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt

    That YES and NO are the wrong answer for each implementation of >>>>>>>>> Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ specified by the second ⊢* state transition proves that the
    questions asked of these machine/inputs pairs are incorrect questions.

    An incorrect answer does not mean that the question is incorrect. >>>>>>>>

    When every element of the infinite set of every possible
    implementation of Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ gets the wrong answer then >>>>>>> there is something wrong with the question.

    According to the definition by Linz there is only one Ĥ for each H. >>>>>> Anyway, a wrong answer, even if given in large quentities, does
    not make the question worng.

    None-the-less the infinite set of every implementation of
    H/Ĥ.H cannot possibly get an answer that is consistent with
    the behavior of of Ĥ ⟨Ĥ⟩.

    The infinite set is not expected to answer. And the set is
    infinite only if you include defective imiplementations.

    Anyway, no memeber of the set of implementations can get
    an answer that is consistent with the corresponding counter
    example.


    ∀ H ∈ Turing_Machine_Deciders
    ∃ TMD ∈ Turing_Machine_Descriptions  |
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    There is some input TMD to every H such that
    Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)

    When we disallow decider/input pairs that are incorrect
    questions where both YES and NO are the wrong answer
    (the same way the ZFC disallowed self-referential sets) then
    pathological inputs are not allowed to come into existence.

    No question of the type "Does T(I) halt?" is incorrect
    in that sense.

    The self-contradictory instances are all incorrect.

    No instance of "Does T(I) halt?" is self-contradictory
    (nor any other way contradictory). It just a question.

    Does the barber that shaves everyone that does not shave
    themselves shave himself? is rejected as an incorrect question.
    https://en.wikipedia.org/wiki/Barber_paradox#

    The answer "Yes" is correct because no such barber fails to
    shave himself.

    The answer of YES affirms a false presupposition thus is incorrect.

    The proposition is false only if there is a barber who does not
    shave himself (rather than hershelf or itself) and shaves
    every one who shaves himself. Who it is?

    The answer "No" is correct because no such barber shaves himself.

    The answer of NO affirms a false presupposition thus is incorrect.

    And who is that barber?

    --
    Mikko

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Thu Mar 14 10:33:50 2024
    XPost: sci.logic

    On 3/13/24 4:04 PM, olcott wrote:
    On 3/13/2024 5:43 PM, Richard Damon wrote:
    On 3/13/24 2:54 PM, olcott wrote:
    On 3/13/2024 4:39 PM, Richard Damon wrote:
    On 3/13/24 1:52 PM, olcott wrote:
    On 3/13/2024 12:52 PM, Richard Damon wrote:
    On 3/13/24 10:08 AM, olcott wrote:
    On 3/13/2024 11:44 AM, immibis wrote:
    On 13/03/24 04:55, olcott wrote:
    On 3/12/2024 10:49 PM, Richard Damon wrote:

    Not quite. It always gets the wrong answer, but only one of >>>>>>>>>> them for each quesiton.


    They all gets the wrong answer on a whole class of questions

    Wrong. You said. yourself. that H1 gets the right answer for D. >>>>>>>>

    Since it is a logical impossibility to determine the truth
    value of a self-contradictory expression the requirement
    for H to do this is bogus.

    Shows you are just a LIAR, as there IS a truth value to the
    expression that is the requirment for ANY SPECIFIC H.


    *Lying about me being a liar may possibly cost your soul*
    *Lying about me being a liar may possibly cost your soul*
    *Lying about me being a liar may possibly cost your soul*

    There is no mapping from H(D,D) to Halts(D,D) that exists.
    This proves that H(D,D) is being asked an incorrect question.


    Why, because it is NOT a LIE.

    You don't even know the definiton of an incorrect question.

    I invented it so I get to stipulate its meaning.
    https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term.


    Cite a source.


    The fact that there DOES exist a mapping Halt(M,d) that maps all
    Turing Machines and there input to a result of Halting / Non-Halting
    for EVERY member of that input set, means tha Halts is a valid
    mapping to ask a decider to try to decider.

    That part is true.
    Likewise when you ask a man that has never been married:
    Have you stopped beating tour wife?
    There are some men that have stopped beating their wife.

    Right, because that question include a presumption of something not
    actually present.


    Although there is a mapping from some men to YES/NO
    there is no mapping from never unmarried men to YES/NO
    thus the question is incorrect for all unmarried men.

    Although there is a mapping from some TM/input pairs to YES/NO
    there is no mapping from H/D to YES/NO
    thus the question is incorrect for H/D



    Except that the mapping requested is about the INPUTS to H, not H itsef.

    THERE IS a mapping from ALL inputs to H(<M>,d) to a corrct Yes/No answer
    as determined by Halts(M,d), or in this specific case the inputs to
    H(D,D) to Halts (D,D).

    If H(D,D) returns 0, then the Mapping of the input D,D to Halts(D,D) is
    to Yes.

    If H(D,D) returns 1, then the Mapping of the input D,D to Halts(D,D) is No.

    So, the mapping asked for in the ACTUAL question exist.

    That H(D,D) doesn't give the right answer just shows that H is wrong for
    the input.

    The fact that there exists a D for every H such that it will get the
    answer wrong proves the Mapping described in the Halting Problem is uncomputable, not "invalid" (the fact that it actually exists, makes it
    valid).

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Thu Mar 14 13:20:48 2024
    XPost: sci.logic

    On 3/14/24 12:32 PM, olcott wrote:
    On 3/14/2024 12:33 PM, Richard Damon wrote:
    On 3/13/24 4:04 PM, olcott wrote:
    On 3/13/2024 5:43 PM, Richard Damon wrote:
    On 3/13/24 2:54 PM, olcott wrote:
    On 3/13/2024 4:39 PM, Richard Damon wrote:
    On 3/13/24 1:52 PM, olcott wrote:
    On 3/13/2024 12:52 PM, Richard Damon wrote:
    On 3/13/24 10:08 AM, olcott wrote:
    On 3/13/2024 11:44 AM, immibis wrote:
    On 13/03/24 04:55, olcott wrote:
    On 3/12/2024 10:49 PM, Richard Damon wrote:

    Not quite. It always gets the wrong answer, but only one of >>>>>>>>>>>> them for each quesiton.


    They all gets the wrong answer on a whole class of questions >>>>>>>>>>
    Wrong. You said. yourself. that H1 gets the right answer for D. >>>>>>>>>>

    Since it is a logical impossibility to determine the truth
    value of a self-contradictory expression the requirement
    for H to do this is bogus.

    Shows you are just a LIAR, as there IS a truth value to the
    expression that is the requirment for ANY SPECIFIC H.


    *Lying about me being a liar may possibly cost your soul*
    *Lying about me being a liar may possibly cost your soul*
    *Lying about me being a liar may possibly cost your soul*

    There is no mapping from H(D,D) to Halts(D,D) that exists.
    This proves that H(D,D) is being asked an incorrect question.


    Why, because it is NOT a LIE.

    You don't even know the definiton of an incorrect question.

    I invented it so I get to stipulate its meaning.
    https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term.


    Cite a source.


    The fact that there DOES exist a mapping Halt(M,d) that maps all
    Turing Machines and there input to a result of Halting /
    Non-Halting for EVERY member of that input set, means tha Halts is >>>>>> a valid mapping to ask a decider to try to decider.

    That part is true.
    Likewise when you ask a man that has never been married:
    Have you stopped beating tour wife?
    There are some men that have stopped beating their wife.

    Right, because that question include a presumption of something not
    actually present.


    Although there is a mapping from some men to YES/NO
    there is no mapping from never unmarried men to YES/NO
    thus the question is incorrect for all unmarried men.

    Although there is a mapping from some TM/input pairs to YES/NO
    there is no mapping from H/D to YES/NO
    thus the question is incorrect for H/D



    Except that the mapping requested is about the INPUTS to H, not H itsef.


    In order to see that it is an incorrect question we must examine
    the question in detail. Making sure to always ignore this key detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you are just shown to be a stupid liar.

    The QUESTION is:

    Does the machine and input described by this input, Halt when run?

    That is the question, and exactly the question.

    THis question produces a mapping of M, d -> HALTS(M,d) where Halts it
    True if the machine M applied to the input d will Halt, and false otherwise.

    When then get to the PROBLEM (which is different then the QUESTION), can
    we produce a Turing Machine to compute this.

    From the definition of the Question, we can derive the REQUIREMENT for
    a Turing Machine H that satisfies the problem, that would be that:

    For ALL <M> and d, H <M> d |-> Qy if M d will halt, and |-> Qn if it
    will not

    There is NOTHING in this, so far, that has mention H^ at all.

    H^ is just a sample input that we can TEST H with

    H^ isn't a "decider" and doesn't have "requirements" that it must met,
    (except that it is a Turing Machine and does what it is programmed to do).

    Thus arguing from REQUIREMENT on H^ are incorrect.

    Note, for any specific test, H^ is a SPECIFIC machine built from a
    specific decider to test it, other decider can of course try to decide
    it, but their results are not meaningful for the proof.

    Linz shows (copying from the earlier work of Turing) that no matter what
    H you try to choose, and no matter how it tries to come to its decision,
    NO H can give the correct answer for the H^ built on it.

    This doesn't mean the Question was invalid, as for EVERY instance of the question (a seperate one for each decider H that we start with), the
    machine H^ <H^> always has definite behavior, we have the mapping from
    H^ <H^> -> Halts(H^ <H^> exists, so the orignal question is still valid.

    YOU keep on trying to change the question to a DIFFERENT question, about
    the behavior of the NON-TURING MACHINE "template", which never was an
    allowable input in the halting problem, as no Turing Machine can know
    about if or what nachine is trying to decide on it (like the ^ template
    become in you case).

    So, you are just showing that you have FUNDAMENTAL misconception about
    how Computation Theory works, which means you have a lot of work to try
    to come up with a "replacement" of convincing people of the need for one.



    THERE IS a mapping from ALL inputs to H(<M>,d) to a corrct Yes/No
    answer as determined by Halts(M,d), or in this specific case the
    inputs to H(D,D) to Halts (D,D).

    If H(D,D) returns 0, then the Mapping of the input D,D to Halts(D,D)
    is to Yes.

    If H(D,D) returns 1, then the Mapping of the input D,D to Halts(D,D)
    is No.

    So, the mapping asked for in the ACTUAL question exist.

    That H(D,D) doesn't give the right answer just shows that H is wrong
    for the input.

    The fact that there exists a D for every H such that it will get the
    answer wrong proves the Mapping described in the Halting Problem is
    uncomputable, not "invalid" (the fact that it actually exists, makes
    it valid).


    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Thu Mar 14 13:54:17 2024
    XPost: sci.logic

    On 3/14/24 1:26 PM, olcott wrote:
    On 3/14/2024 3:20 PM, Richard Damon wrote:
    On 3/14/24 12:32 PM, olcott wrote:
    On 3/14/2024 12:33 PM, Richard Damon wrote:
    On 3/13/24 4:04 PM, olcott wrote:
    On 3/13/2024 5:43 PM, Richard Damon wrote:
    On 3/13/24 2:54 PM, olcott wrote:
    On 3/13/2024 4:39 PM, Richard Damon wrote:
    On 3/13/24 1:52 PM, olcott wrote:
    On 3/13/2024 12:52 PM, Richard Damon wrote:
    On 3/13/24 10:08 AM, olcott wrote:
    On 3/13/2024 11:44 AM, immibis wrote:
    On 13/03/24 04:55, olcott wrote:
    On 3/12/2024 10:49 PM, Richard Damon wrote:

    Not quite. It always gets the wrong answer, but only one >>>>>>>>>>>>>> of them for each quesiton.


    They all gets the wrong answer on a whole class of questions >>>>>>>>>>>>
    Wrong. You said. yourself. that H1 gets the right answer for D. >>>>>>>>>>>>

    Since it is a logical impossibility to determine the truth >>>>>>>>>>> value of a self-contradictory expression the requirement >>>>>>>>>>> for H to do this is bogus.

    Shows you are just a LIAR, as there IS a truth value to the >>>>>>>>>> expression that is the requirment for ANY SPECIFIC H.


    *Lying about me being a liar may possibly cost your soul*
    *Lying about me being a liar may possibly cost your soul*
    *Lying about me being a liar may possibly cost your soul*

    There is no mapping from H(D,D) to Halts(D,D) that exists.
    This proves that H(D,D) is being asked an incorrect question. >>>>>>>>>

    Why, because it is NOT a LIE.

    You don't even know the definiton of an incorrect question.

    I invented it so I get to stipulate its meaning.
    https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ >>>>>>
    Nope, common technical term.


    Cite a source.


    The fact that there DOES exist a mapping Halt(M,d) that maps all >>>>>>>> Turing Machines and there input to a result of Halting /
    Non-Halting for EVERY member of that input set, means tha Halts >>>>>>>> is a valid mapping to ask a decider to try to decider.

    That part is true.
    Likewise when you ask a man that has never been married:
    Have you stopped beating tour wife?
    There are some men that have stopped beating their wife.

    Right, because that question include a presumption of something
    not actually present.


    Although there is a mapping from some men to YES/NO
    there is no mapping from never unmarried men to YES/NO
    thus the question is incorrect for all unmarried men.

    Although there is a mapping from some TM/input pairs to YES/NO
    there is no mapping from H/D to YES/NO
    thus the question is incorrect for H/D



    Except that the mapping requested is about the INPUTS to H, not H
    itsef.


    In order to see that it is an incorrect question we must examine
    the question in detail. Making sure to always ignore this key detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you are just shown to be a stupid
    liar.

    The QUESTION is:

    Does the machine and input described by this input, Halt when run?

    The question posed to Ĥ.H has no correct answer, thus not the
    same question at all.

    But it DOES.

    You forget the order of operations, before we can ASK H^.H the question,
    first H needed to be defined, and thus H <M> d is FIXED for all value of
    <M> and d.

    Then we can create H^ by the template, and thus we can know what that
    fixed answer to H <H^> <H^> was. We then see that the template used to
    built H^ shows that H^ <H^> does something different than H said, so
    there IS a "Correct Answer", just not the one that H gave,

    H giving the answer isn't a requirement it to be the correct ansswer.
    When you try to impose that requirement, H just stops existing.

    So, there IS a correct answer to the actual question posed, it is just
    that H doesn't give it.

    Since the machine described by the input to H, that is H^ <H^> has a
    defiite behavior (since we defined what H was earlier to get here) and
    thus we have a correct answer.


    How long are you going to keep trying to get away with this
    strawman deception?


    When are YOU going to realize you have just been lying about this
    because you are too stupid?


    You keep on trying to change the question from: What is the behavior of
    the SPECIFIC MACHINE AND INPUT described, to

    how can we design H to get the right answer to this template.

    THAT is an invalid question, because it presumes that the answer exists,
    when it doesn't

    That doesn't make the original question invalid, just non-computable,
    which is a valid state for a mapping question.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Thu Mar 14 14:55:37 2024
    XPost: sci.logic

    On 3/14/24 1:59 PM, olcott wrote:
    On 3/14/2024 3:54 PM, Richard Damon wrote:
    On 3/14/24 1:26 PM, olcott wrote:
    On 3/14/2024 3:20 PM, Richard Damon wrote:
    On 3/14/24 12:32 PM, olcott wrote:
    On 3/14/2024 12:33 PM, Richard Damon wrote:
    On 3/13/24 4:04 PM, olcott wrote:
    On 3/13/2024 5:43 PM, Richard Damon wrote:
    On 3/13/24 2:54 PM, olcott wrote:
    On 3/13/2024 4:39 PM, Richard Damon wrote:
    On 3/13/24 1:52 PM, olcott wrote:
    On 3/13/2024 12:52 PM, Richard Damon wrote:
    On 3/13/24 10:08 AM, olcott wrote:
    On 3/13/2024 11:44 AM, immibis wrote:
    On 13/03/24 04:55, olcott wrote:
    On 3/12/2024 10:49 PM, Richard Damon wrote:

    Not quite. It always gets the wrong answer, but only one >>>>>>>>>>>>>>>> of them for each quesiton.


    They all gets the wrong answer on a whole class of questions >>>>>>>>>>>>>>
    Wrong. You said. yourself. that H1 gets the right answer >>>>>>>>>>>>>> for D.


    Since it is a logical impossibility to determine the truth >>>>>>>>>>>>> value of a self-contradictory expression the requirement >>>>>>>>>>>>> for H to do this is bogus.

    Shows you are just a LIAR, as there IS a truth value to the >>>>>>>>>>>> expression that is the requirment for ANY SPECIFIC H.


    *Lying about me being a liar may possibly cost your soul* >>>>>>>>>>> *Lying about me being a liar may possibly cost your soul* >>>>>>>>>>> *Lying about me being a liar may possibly cost your soul* >>>>>>>>>>>
    There is no mapping from H(D,D) to Halts(D,D) that exists. >>>>>>>>>>> This proves that H(D,D) is being asked an incorrect question. >>>>>>>>>>>

    Why, because it is NOT a LIE.

    You don't even know the definiton of an incorrect question. >>>>>>>>>>
    I invented it so I get to stipulate its meaning.
    https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ >>>>>>>>
    Nope, common technical term.


    Cite a source.


    The fact that there DOES exist a mapping Halt(M,d) that maps >>>>>>>>>> all Turing Machines and there input to a result of Halting / >>>>>>>>>> Non-Halting for EVERY member of that input set, means tha
    Halts is a valid mapping to ask a decider to try to decider. >>>>>>>>>>
    That part is true.
    Likewise when you ask a man that has never been married:
    Have you stopped beating tour wife?
    There are some men that have stopped beating their wife.

    Right, because that question include a presumption of something >>>>>>>> not actually present.


    Although there is a mapping from some men to YES/NO
    there is no mapping from never unmarried men to YES/NO
    thus the question is incorrect for all unmarried men.

    Although there is a mapping from some TM/input pairs to YES/NO
    there is no mapping from H/D to YES/NO
    thus the question is incorrect for H/D



    Except that the mapping requested is about the INPUTS to H, not H
    itsef.


    In order to see that it is an incorrect question we must examine
    the question in detail. Making sure to always ignore this key detail >>>>> <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you are just shown to be a
    stupid liar.

    The QUESTION is:

    Does the machine and input described by this input, Halt when run?

    The question posed to Ĥ.H has no correct answer, thus not the
    same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and make sure that
    you explain why this element is correct and don't try to switch
    to any other element outside of the above specified set.


    I didn't say there was.

    You just don't know what you are talking about.

    There is no H that gives the correct answer, but there is a correct
    answer for the question posed to H, it will always be the other answer
    that this H didn't give.

    You are showing how STUPID you are and how little you understand about
    logic.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Thu Mar 14 15:37:50 2024
    XPost: sci.logic

    On 3/14/24 3:04 PM, olcott wrote:
    On 3/14/2024 4:55 PM, Richard Damon wrote:
    On 3/14/24 1:59 PM, olcott wrote:
    On 3/14/2024 3:54 PM, Richard Damon wrote:
    On 3/14/24 1:26 PM, olcott wrote:
    On 3/14/2024 3:20 PM, Richard Damon wrote:
    On 3/14/24 12:32 PM, olcott wrote:
    On 3/14/2024 12:33 PM, Richard Damon wrote:
    On 3/13/24 4:04 PM, olcott wrote:
    On 3/13/2024 5:43 PM, Richard Damon wrote:
    On 3/13/24 2:54 PM, olcott wrote:
    On 3/13/2024 4:39 PM, Richard Damon wrote:
    On 3/13/24 1:52 PM, olcott wrote:
    On 3/13/2024 12:52 PM, Richard Damon wrote:
    On 3/13/24 10:08 AM, olcott wrote:
    On 3/13/2024 11:44 AM, immibis wrote:
    On 13/03/24 04:55, olcott wrote:
    On 3/12/2024 10:49 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>
    Not quite. It always gets the wrong answer, but only >>>>>>>>>>>>>>>>>> one of them for each quesiton.


    They all gets the wrong answer on a whole class of >>>>>>>>>>>>>>>>> questions

    Wrong. You said. yourself. that H1 gets the right answer >>>>>>>>>>>>>>>> for D.


    Since it is a logical impossibility to determine the truth >>>>>>>>>>>>>>> value of a self-contradictory expression the requirement >>>>>>>>>>>>>>> for H to do this is bogus.

    Shows you are just a LIAR, as there IS a truth value to >>>>>>>>>>>>>> the expression that is the requirment for ANY SPECIFIC H. >>>>>>>>>>>>>>

    *Lying about me being a liar may possibly cost your soul* >>>>>>>>>>>>> *Lying about me being a liar may possibly cost your soul* >>>>>>>>>>>>> *Lying about me being a liar may possibly cost your soul* >>>>>>>>>>>>>
    There is no mapping from H(D,D) to Halts(D,D) that exists. >>>>>>>>>>>>> This proves that H(D,D) is being asked an incorrect question. >>>>>>>>>>>>>

    Why, because it is NOT a LIE.

    You don't even know the definiton of an incorrect question. >>>>>>>>>>>>
    I invented it so I get to stipulate its meaning.
    https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ >>>>>>>>>>
    Nope, common technical term.


    Cite a source.


    The fact that there DOES exist a mapping Halt(M,d) that maps >>>>>>>>>>>> all Turing Machines and there input to a result of Halting / >>>>>>>>>>>> Non-Halting for EVERY member of that input set, means tha >>>>>>>>>>>> Halts is a valid mapping to ask a decider to try to decider. >>>>>>>>>>>>
    That part is true.
    Likewise when you ask a man that has never been married: >>>>>>>>>>> Have you stopped beating tour wife?
    There are some men that have stopped beating their wife.

    Right, because that question include a presumption of
    something not actually present.


    Although there is a mapping from some men to YES/NO
    there is no mapping from never unmarried men to YES/NO
    thus the question is incorrect for all unmarried men.

    Although there is a mapping from some TM/input pairs to YES/NO >>>>>>>>> there is no mapping from H/D to YES/NO
    thus the question is incorrect for H/D



    Except that the mapping requested is about the INPUTS to H, not >>>>>>>> H itsef.


    In order to see that it is an incorrect question we must examine >>>>>>> the question in detail. Making sure to always ignore this key detail >>>>>>> <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not
    halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you are just shown to be a
    stupid liar.

    The QUESTION is:

    Does the machine and input described by this input, Halt when run?

    The question posed to Ĥ.H has no correct answer, thus not the
    same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and make sure that
    you explain why this element is correct and don't try to switch
    to any other element outside of the above specified set.


    I didn't say there was.


    Then you understand that each question posed to each Ĥ.H in the
    above set has no correct answer only because each of these answers
    are contradicted by the machine that H is contained within.


    No, YOU don't understand that the IS a correct answer, just not the one
    that H (or H^.H ) happens to give.

    Why do you think it has to, that is PRESUMING that H is in fact correct,
    so you are just lying to yourself.

    Remember, H^ is NOT being asked a question to answer, only H.

    Why do you think H^ (H^) doesn't halt or not halt?

    Are you forgetting that you have to define your H before you get to look
    at what H^ does.

    The question that you get confused with, and that doesn't have the
    answer, is how to design an H that gets the right answer for its H^, but
    that isn't the haltign question.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Fri Mar 15 01:23:24 2024
    XPost: sci.logic

    On 14/03/24 21:59, olcott wrote:
    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and make sure that
    you explain why this element is correct and don't try to switch
    to any other element outside of the above specified set.

    Syntactically invalid question.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Fri Mar 15 01:22:45 2024
    XPost: sci.logic

    On 14/03/24 21:26, olcott wrote:
    The question posed to Ĥ.H has no correct answer, thus not the
    same question at all.

    nobody cares what question is posed to Ĥ.H. How long are you going to
    keep trying to get away with this strawman deception?

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Fri Mar 15 01:25:31 2024
    XPost: sci.logic

    On 15/03/24 00:45, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote:

    No, YOU don't understand that the IS a correct answer, just not the
    one that H (or H^.H ) happens to give.


    Then show me which contradicted answer is correct.


    D(D) halts so 1 would be the correct answer.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Thu Mar 14 18:06:18 2024
    XPost: sci.logic

    On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote:
    On 3/14/24 3:04 PM, olcott wrote:
    On 3/14/2024 4:55 PM, Richard Damon wrote:
    On 3/14/24 1:59 PM, olcott wrote:
    On 3/14/2024 3:54 PM, Richard Damon wrote:
    On 3/14/24 1:26 PM, olcott wrote:
    On 3/14/2024 3:20 PM, Richard Damon wrote:
    On 3/14/24 12:32 PM, olcott wrote:
    On 3/14/2024 12:33 PM, Richard Damon wrote:
    On 3/13/24 4:04 PM, olcott wrote:
    On 3/13/2024 5:43 PM, Richard Damon wrote:
    On 3/13/24 2:54 PM, olcott wrote:
    On 3/13/2024 4:39 PM, Richard Damon wrote:
    On 3/13/24 1:52 PM, olcott wrote:
    On 3/13/2024 12:52 PM, Richard Damon wrote:
    On 3/13/24 10:08 AM, olcott wrote:
    On 3/13/2024 11:44 AM, immibis wrote:
    On 13/03/24 04:55, olcott wrote:
    On 3/12/2024 10:49 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>
    Not quite. It always gets the wrong answer, but only >>>>>>>>>>>>>>>>>>>> one of them for each quesiton.


    They all gets the wrong answer on a whole class of >>>>>>>>>>>>>>>>>>> questions

    Wrong. You said. yourself. that H1 gets the right >>>>>>>>>>>>>>>>>> answer for D.


    Since it is a logical impossibility to determine the truth >>>>>>>>>>>>>>>>> value of a self-contradictory expression the requirement >>>>>>>>>>>>>>>>> for H to do this is bogus.

    Shows you are just a LIAR, as there IS a truth value to >>>>>>>>>>>>>>>> the expression that is the requirment for ANY SPECIFIC H. >>>>>>>>>>>>>>>>

    *Lying about me being a liar may possibly cost your soul* >>>>>>>>>>>>>>> *Lying about me being a liar may possibly cost your soul* >>>>>>>>>>>>>>> *Lying about me being a liar may possibly cost your soul* >>>>>>>>>>>>>>>
    There is no mapping from H(D,D) to Halts(D,D) that exists. >>>>>>>>>>>>>>> This proves that H(D,D) is being asked an incorrect >>>>>>>>>>>>>>> question.


    Why, because it is NOT a LIE.

    You don't even know the definiton of an incorrect question. >>>>>>>>>>>>>>
    I invented it so I get to stipulate its meaning.
    https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ >>>>>>>>>>>>
    Nope, common technical term.


    Cite a source.


    The fact that there DOES exist a mapping Halt(M,d) that >>>>>>>>>>>>>> maps all Turing Machines and there input to a result of >>>>>>>>>>>>>> Halting / Non-Halting for EVERY member of that input set, >>>>>>>>>>>>>> means tha Halts is a valid mapping to ask a decider to try >>>>>>>>>>>>>> to decider.

    That part is true.
    Likewise when you ask a man that has never been married: >>>>>>>>>>>>> Have you stopped beating tour wife?
    There are some men that have stopped beating their wife. >>>>>>>>>>>>
    Right, because that question include a presumption of
    something not actually present.


    Although there is a mapping from some men to YES/NO
    there is no mapping from never unmarried men to YES/NO
    thus the question is incorrect for all unmarried men.

    Although there is a mapping from some TM/input pairs to YES/NO >>>>>>>>>>> there is no mapping from H/D to YES/NO
    thus the question is incorrect for H/D



    Except that the mapping requested is about the INPUTS to H, >>>>>>>>>> not H itsef.


    In order to see that it is an incorrect question we must examine >>>>>>>>> the question in detail. Making sure to always ignore this key >>>>>>>>> detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does
    not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) >>>>>>>>
    Which isn;t the question at all, so you are just shown to be a >>>>>>>> stupid liar.

    The QUESTION is:

    Does the machine and input described by this input, Halt when run? >>>>>>>
    The question posed to Ĥ.H has no correct answer, thus not the
    same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and make sure that
    you explain why this element is correct and don't try to switch
    to any other element outside of the above specified set.


    I didn't say there was.


    Then you understand that each question posed to each Ĥ.H in the
    above set has no correct answer only because each of these answers
    are contradicted by the machine that H is contained within.


    No, YOU don't understand that the IS a correct answer, just not the
    one that H (or H^.H ) happens to give.


    Then show me which contradicted answer is correct.



    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy and loops so qn was
    the right answer.

    If H (H^) (H^) goes to qn, then H^ (H^) goes to qn, and Halts, so qy was
    the right answer.

    There are two different cases depending the specific H that was chosen. Remember, before you got to the point of being able to ask the question,
    you had to define your H.

    So, untill you can demonstrate Time Travel working in computation
    theory, we can determine which of the two cases we are in for any given instance, and thus which answer was right.

    Since that specific H only CAN give one answer, the one it was
    programmed to do, it will always be wrong, since H came before H^.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Thu Mar 14 18:09:25 2024
    XPost: sci.logic

    On 3/14/24 5:54 PM, olcott wrote:
    On 3/14/2024 7:23 PM, immibis wrote:
    On 14/03/24 21:59, olcott wrote:
    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and make sure that
    you explain why this element is correct and don't try to switch
    to any other element outside of the above specified set.

    Syntactically invalid question.

    In any language that you are familiar with.


    Well, since the bases of your question is a false premise, there is no
    language it can be properly expresses in truthfully.

    You are just proving yourself too stupid to be given pookie sticks with
    to play with logic.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Thu Mar 14 18:23:59 2024
    XPost: sci.logic

    On 3/14/24 5:52 PM, olcott wrote:
    On 3/14/2024 7:22 PM, immibis wrote:
    On 14/03/24 21:26, olcott wrote:
    The question posed to Ĥ.H has no correct answer, thus not the
    same question at all.

    nobody cares what question is posed to Ĥ.H. How long are you going to
    keep trying to get away with this strawman deception?

    That you don't care about the foundations of computation is irrelevant. When-so-ever anyone or anything is asked a question that is logically impossible for them to correctly answer this places no actual limit
    and anyone, anything, or computation.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    It is logically impossible
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))



    That YOU don't care about the foundation of Computation show YOU are irreverent.

    You don't even seem to remember the actual question being asked, so you
    just keep on LYING about what it means,

    It appears that there is no limit to your stupidity.

    Yes, it is proen Logically impossible to make a decider that answers all possible inputs about halting, not becuase the question is "invalid",
    but because it is non-computable.

    It can't be "Invalid", since Halts(M, d) has a value for every possible
    input, and thus provides the correct answer for the every Halting Question.

    For a question to be invalid, there must be something factually wrong
    with it, either it ask about a logical impossibility or has a
    presupposition that is incorrect.

    The only presuppositions that are in the Halting question is that there
    are Turing Machines, that they have inputs, and that those machines will
    always either Halt in finite time or never halts.

    In particular, it DOESN'T presume that a Turing Machine can give the
    answer, but only supplies the answer that a Turing Machine would need to
    give to be correct.

    If you would care to point out what other presupposition there might be
    that is incorrect, please point it out.

    There is no "Logical Impossiblity" unless you can show that a machine
    can either Halt and Not Halt, or neither Halt or not Halt.

    Thus, the impossibility to find the answer to your biltiy to build a
    Halt Decider isn't that the question is invalid, but that it just turns
    out not to be computable.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Thu Mar 14 19:19:33 2024
    XPost: sci.logic

    On 3/14/24 6:14 PM, olcott wrote:
    On 3/14/2024 8:09 PM, Richard Damon wrote:
    On 3/14/24 5:54 PM, olcott wrote:
    On 3/14/2024 7:23 PM, immibis wrote:
    On 14/03/24 21:59, olcott wrote:
    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and make sure that
    you explain why this element is correct and don't try to switch
    to any other element outside of the above specified set.

    Syntactically invalid question.

    In any language that you are familiar with.


    Well, since the bases of your question is a false premise, there is no
    language it can be properly expresses in truthfully.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    There is no false premise above.
    If there was you would have already pointed it out.


    We HAVE.

    That there IS an H that is correct, is a false premise that all those statements were built from.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Fri Mar 15 03:22:17 2024
    XPost: sci.logic

    On 15/03/24 01:52, olcott wrote:
    On 3/14/2024 7:22 PM, immibis wrote:
    On 14/03/24 21:26, olcott wrote:
    The question posed to Ĥ.H has no correct answer, thus not the
    same question at all.

    nobody cares what question is posed to Ĥ.H. How long are you going to
    keep trying to get away with this strawman deception?

    That you don't care about the foundations of computation is irrelevant. When-so-ever anyone or anything is asked a question that is logically impossible for them to correctly answer this places no actual limit
    and anyone, anything, or computation.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    It is logically impossible
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))



    Ĥ.H isn't even asked any question. It just runs until it halts and then returns some result.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Thu Mar 14 19:15:33 2024
    XPost: sci.logic

    On 3/14/24 6:12 PM, olcott wrote:
    On 3/14/2024 8:06 PM, Richard Damon wrote:
    On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote:
    On 3/14/24 3:04 PM, olcott wrote:
    On 3/14/2024 4:55 PM, Richard Damon wrote:
    On 3/14/24 1:59 PM, olcott wrote:
    On 3/14/2024 3:54 PM, Richard Damon wrote:
    On 3/14/24 1:26 PM, olcott wrote:
    On 3/14/2024 3:20 PM, Richard Damon wrote:
    On 3/14/24 12:32 PM, olcott wrote:
    On 3/14/2024 12:33 PM, Richard Damon wrote:
    On 3/13/24 4:04 PM, olcott wrote:
    On 3/13/2024 5:43 PM, Richard Damon wrote:
    On 3/13/24 2:54 PM, olcott wrote:
    On 3/13/2024 4:39 PM, Richard Damon wrote:
    On 3/13/24 1:52 PM, olcott wrote:
    On 3/13/2024 12:52 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>> On 3/13/24 10:08 AM, olcott wrote:
    On 3/13/2024 11:44 AM, immibis wrote:
    On 13/03/24 04:55, olcott wrote:
    On 3/12/2024 10:49 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>
    Not quite. It always gets the wrong answer, but >>>>>>>>>>>>>>>>>>>>>> only one of them for each quesiton. >>>>>>>>>>>>>>>>>>>>>>

    They all gets the wrong answer on a whole class of >>>>>>>>>>>>>>>>>>>>> questions

    Wrong. You said. yourself. that H1 gets the right >>>>>>>>>>>>>>>>>>>> answer for D.


    Since it is a logical impossibility to determine the >>>>>>>>>>>>>>>>>>> truth
    value of a self-contradictory expression the requirement >>>>>>>>>>>>>>>>>>> for H to do this is bogus.

    Shows you are just a LIAR, as there IS a truth value >>>>>>>>>>>>>>>>>> to the expression that is the requirment for ANY >>>>>>>>>>>>>>>>>> SPECIFIC H.


    *Lying about me being a liar may possibly cost your soul* >>>>>>>>>>>>>>>>> *Lying about me being a liar may possibly cost your soul* >>>>>>>>>>>>>>>>> *Lying about me being a liar may possibly cost your soul* >>>>>>>>>>>>>>>>>
    There is no mapping from H(D,D) to Halts(D,D) that exists. >>>>>>>>>>>>>>>>> This proves that H(D,D) is being asked an incorrect >>>>>>>>>>>>>>>>> question.


    Why, because it is NOT a LIE.

    You don't even know the definiton of an incorrect question. >>>>>>>>>>>>>>>>
    I invented it so I get to stipulate its meaning. >>>>>>>>>>>>>>> https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term.


    Cite a source.


    The fact that there DOES exist a mapping Halt(M,d) that >>>>>>>>>>>>>>>> maps all Turing Machines and there input to a result of >>>>>>>>>>>>>>>> Halting / Non-Halting for EVERY member of that input >>>>>>>>>>>>>>>> set, means tha Halts is a valid mapping to ask a decider >>>>>>>>>>>>>>>> to try to decider.

    That part is true.
    Likewise when you ask a man that has never been married: >>>>>>>>>>>>>>> Have you stopped beating tour wife?
    There are some men that have stopped beating their wife. >>>>>>>>>>>>>>
    Right, because that question include a presumption of >>>>>>>>>>>>>> something not actually present.


    Although there is a mapping from some men to YES/NO
    there is no mapping from never unmarried men to YES/NO >>>>>>>>>>>>> thus the question is incorrect for all unmarried men. >>>>>>>>>>>>>
    Although there is a mapping from some TM/input pairs to YES/NO >>>>>>>>>>>>> there is no mapping from H/D to YES/NO
    thus the question is incorrect for H/D



    Except that the mapping requested is about the INPUTS to H, >>>>>>>>>>>> not H itsef.


    In order to see that it is an incorrect question we must examine >>>>>>>>>>> the question in detail. Making sure to always ignore this key >>>>>>>>>>> detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does
    not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) >>>>>>>>>>
    Which isn;t the question at all, so you are just shown to be a >>>>>>>>>> stupid liar.

    The QUESTION is:

    Does the machine and input described by this input, Halt when >>>>>>>>>> run?

    The question posed to Ĥ.H has no correct answer, thus not the >>>>>>>>> same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and make sure that
    you explain why this element is correct and don't try to switch
    to any other element outside of the above specified set.


    I didn't say there was.


    Then you understand that each question posed to each Ĥ.H in the
    above set has no correct answer only because each of these answers
    are contradicted by the machine that H is contained within.


    No, YOU don't understand that the IS a correct answer, just not the
    one that H (or H^.H ) happens to give.


    Then show me which contradicted answer is correct.



    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy and loops so qn was
    the right answer.
    *The strawman deception is all that you have*

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    *The answer must come from elements of the above set*


    Nope. Not the requirement

    That woould be asking which H was correct, which IS an invalid question
    (since it has a false premise, that one of them is correct).

    How do you parse the question:
    "Does the Machine described by your input Halt?" into you set of choices>

    Remember, that part of the proof you are quoting was under the
    presumption that there existed a correct H, so when you arrive at a contradiction, the solution is that presumption was false.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Fri Mar 15 03:24:41 2024
    XPost: sci.logic

    On 15/03/24 02:12, olcott wrote:
    On 3/14/2024 8:06 PM, Richard Damon wrote:
    On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote:
    On 3/14/24 3:04 PM, olcott wrote:
    On 3/14/2024 4:55 PM, Richard Damon wrote:
    On 3/14/24 1:59 PM, olcott wrote:
    On 3/14/2024 3:54 PM, Richard Damon wrote:
    On 3/14/24 1:26 PM, olcott wrote:
    On 3/14/2024 3:20 PM, Richard Damon wrote:
    On 3/14/24 12:32 PM, olcott wrote:
    On 3/14/2024 12:33 PM, Richard Damon wrote:
    On 3/13/24 4:04 PM, olcott wrote:
    On 3/13/2024 5:43 PM, Richard Damon wrote:
    On 3/13/24 2:54 PM, olcott wrote:
    On 3/13/2024 4:39 PM, Richard Damon wrote:
    On 3/13/24 1:52 PM, olcott wrote:
    On 3/13/2024 12:52 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>> On 3/13/24 10:08 AM, olcott wrote:
    On 3/13/2024 11:44 AM, immibis wrote:
    On 13/03/24 04:55, olcott wrote:
    On 3/12/2024 10:49 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>
    Not quite. It always gets the wrong answer, but >>>>>>>>>>>>>>>>>>>>>> only one of them for each quesiton. >>>>>>>>>>>>>>>>>>>>>>

    They all gets the wrong answer on a whole class of >>>>>>>>>>>>>>>>>>>>> questions

    Wrong. You said. yourself. that H1 gets the right >>>>>>>>>>>>>>>>>>>> answer for D.


    Since it is a logical impossibility to determine the >>>>>>>>>>>>>>>>>>> truth
    value of a self-contradictory expression the requirement >>>>>>>>>>>>>>>>>>> for H to do this is bogus.

    Shows you are just a LIAR, as there IS a truth value >>>>>>>>>>>>>>>>>> to the expression that is the requirment for ANY >>>>>>>>>>>>>>>>>> SPECIFIC H.


    *Lying about me being a liar may possibly cost your soul* >>>>>>>>>>>>>>>>> *Lying about me being a liar may possibly cost your soul* >>>>>>>>>>>>>>>>> *Lying about me being a liar may possibly cost your soul* >>>>>>>>>>>>>>>>>
    There is no mapping from H(D,D) to Halts(D,D) that exists. >>>>>>>>>>>>>>>>> This proves that H(D,D) is being asked an incorrect >>>>>>>>>>>>>>>>> question.


    Why, because it is NOT a LIE.

    You don't even know the definiton of an incorrect question. >>>>>>>>>>>>>>>>
    I invented it so I get to stipulate its meaning. >>>>>>>>>>>>>>> https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term.


    Cite a source.


    The fact that there DOES exist a mapping Halt(M,d) that >>>>>>>>>>>>>>>> maps all Turing Machines and there input to a result of >>>>>>>>>>>>>>>> Halting / Non-Halting for EVERY member of that input >>>>>>>>>>>>>>>> set, means tha Halts is a valid mapping to ask a decider >>>>>>>>>>>>>>>> to try to decider.

    That part is true.
    Likewise when you ask a man that has never been married: >>>>>>>>>>>>>>> Have you stopped beating tour wife?
    There are some men that have stopped beating their wife. >>>>>>>>>>>>>>
    Right, because that question include a presumption of >>>>>>>>>>>>>> something not actually present.


    Although there is a mapping from some men to YES/NO
    there is no mapping from never unmarried men to YES/NO >>>>>>>>>>>>> thus the question is incorrect for all unmarried men. >>>>>>>>>>>>>
    Although there is a mapping from some TM/input pairs to YES/NO >>>>>>>>>>>>> there is no mapping from H/D to YES/NO
    thus the question is incorrect for H/D



    Except that the mapping requested is about the INPUTS to H, >>>>>>>>>>>> not H itsef.


    In order to see that it is an incorrect question we must examine >>>>>>>>>>> the question in detail. Making sure to always ignore this key >>>>>>>>>>> detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does
    not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) >>>>>>>>>>
    Which isn;t the question at all, so you are just shown to be a >>>>>>>>>> stupid liar.

    The QUESTION is:

    Does the machine and input described by this input, Halt when >>>>>>>>>> run?

    The question posed to Ĥ.H has no correct answer, thus not the >>>>>>>>> same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and make sure that
    you explain why this element is correct and don't try to switch
    to any other element outside of the above specified set.


    I didn't say there was.


    Then you understand that each question posed to each Ĥ.H in the
    above set has no correct answer only because each of these answers
    are contradicted by the machine that H is contained within.


    No, YOU don't understand that the IS a correct answer, just not the
    one that H (or H^.H ) happens to give.


    Then show me which contradicted answer is correct.



    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy and loops so qn was
    the right answer.
    *The strawman deception is all that you have*

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    *The answer must come from elements of the above set*

    You use this notation because you don't know what it means and it allows
    you to pretend you are the smart one because you are using notation.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Thu Mar 14 20:31:50 2024
    XPost: sci.logic

    On 3/14/24 8:25 PM, olcott wrote:
    On 3/14/2024 9:15 PM, Richard Damon wrote:
    On 3/14/24 6:12 PM, olcott wrote:
    On 3/14/2024 8:06 PM, Richard Damon wrote:
    On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote:
    On 3/14/24 3:04 PM, olcott wrote:
    On 3/14/2024 4:55 PM, Richard Damon wrote:
    On 3/14/24 1:59 PM, olcott wrote:
    On 3/14/2024 3:54 PM, Richard Damon wrote:
    On 3/14/24 1:26 PM, olcott wrote:
    On 3/14/2024 3:20 PM, Richard Damon wrote:
    On 3/14/24 12:32 PM, olcott wrote:
    On 3/14/2024 12:33 PM, Richard Damon wrote:
    On 3/13/24 4:04 PM, olcott wrote:
    On 3/13/2024 5:43 PM, Richard Damon wrote:
    On 3/13/24 2:54 PM, olcott wrote:
    On 3/13/2024 4:39 PM, Richard Damon wrote:
    On 3/13/24 1:52 PM, olcott wrote:
    On 3/13/2024 12:52 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 3/13/24 10:08 AM, olcott wrote:
    On 3/13/2024 11:44 AM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote:
    On 3/12/2024 10:49 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>
    Not quite. It always gets the wrong answer, but >>>>>>>>>>>>>>>>>>>>>>>> only one of them for each quesiton. >>>>>>>>>>>>>>>>>>>>>>>>

    They all gets the wrong answer on a whole class >>>>>>>>>>>>>>>>>>>>>>> of questions

    Wrong. You said. yourself. that H1 gets the right >>>>>>>>>>>>>>>>>>>>>> answer for D.


    Since it is a logical impossibility to determine >>>>>>>>>>>>>>>>>>>>> the truth
    value of a self-contradictory expression the >>>>>>>>>>>>>>>>>>>>> requirement
    for H to do this is bogus.

    Shows you are just a LIAR, as there IS a truth value >>>>>>>>>>>>>>>>>>>> to the expression that is the requirment for ANY >>>>>>>>>>>>>>>>>>>> SPECIFIC H.


    *Lying about me being a liar may possibly cost your >>>>>>>>>>>>>>>>>>> soul*
    *Lying about me being a liar may possibly cost your >>>>>>>>>>>>>>>>>>> soul*
    *Lying about me being a liar may possibly cost your >>>>>>>>>>>>>>>>>>> soul*

    There is no mapping from H(D,D) to Halts(D,D) that >>>>>>>>>>>>>>>>>>> exists.
    This proves that H(D,D) is being asked an incorrect >>>>>>>>>>>>>>>>>>> question.


    Why, because it is NOT a LIE.

    You don't even know the definiton of an incorrect >>>>>>>>>>>>>>>>>> question.

    I invented it so I get to stipulate its meaning. >>>>>>>>>>>>>>>>> https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term.


    Cite a source.


    The fact that there DOES exist a mapping Halt(M,d) >>>>>>>>>>>>>>>>>> that maps all Turing Machines and there input to a >>>>>>>>>>>>>>>>>> result of Halting / Non-Halting for EVERY member of >>>>>>>>>>>>>>>>>> that input set, means tha Halts is a valid mapping to >>>>>>>>>>>>>>>>>> ask a decider to try to decider.

    That part is true.
    Likewise when you ask a man that has never been married: >>>>>>>>>>>>>>>>> Have you stopped beating tour wife?
    There are some men that have stopped beating their wife. >>>>>>>>>>>>>>>>
    Right, because that question include a presumption of >>>>>>>>>>>>>>>> something not actually present.


    Although there is a mapping from some men to YES/NO >>>>>>>>>>>>>>> there is no mapping from never unmarried men to YES/NO >>>>>>>>>>>>>>> thus the question is incorrect for all unmarried men. >>>>>>>>>>>>>>>
    Although there is a mapping from some TM/input pairs to >>>>>>>>>>>>>>> YES/NO
    there is no mapping from H/D to YES/NO
    thus the question is incorrect for H/D



    Except that the mapping requested is about the INPUTS to >>>>>>>>>>>>>> H, not H itsef.


    In order to see that it is an incorrect question we must >>>>>>>>>>>>> examine
    the question in detail. Making sure to always ignore this >>>>>>>>>>>>> key detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩
    does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) >>>>>>>>>>>>
    Which isn;t the question at all, so you are just shown to be >>>>>>>>>>>> a stupid liar.

    The QUESTION is:

    Does the machine and input described by this input, Halt >>>>>>>>>>>> when run?

    The question posed to Ĥ.H has no correct answer, thus not the >>>>>>>>>>> same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and make sure
    that
    you explain why this element is correct and don't try to switch >>>>>>>>> to any other element outside of the above specified set.


    I didn't say there was.


    Then you understand that each question posed to each Ĥ.H in the >>>>>>> above set has no correct answer only because each of these answers >>>>>>> are contradicted by the machine that H is contained within.


    No, YOU don't understand that the IS a correct answer, just not
    the one that H (or H^.H ) happens to give.


    Then show me which contradicted answer is correct.



    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy and loops so qn
    was the right answer.
    *The strawman deception is all that you have*

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    *The answer must come from elements of the above set*


    Nope. Not the requirement

    That woould be asking which H was correct, which IS an invalid question

    *Yes you are finally getting this*

    So, why are you asking it?

    That isn't the question.


    Feb 20, 2015, 11:38:48 AM sci.lang
    The logical law of polar questions

    When posed to a man whom has never been married,
    the question: Have you stopped beating your wife?
    Is an incorrect polar question because neither yes nor
    no is a correct answer.

    Thus any H that has both of its answers contradicted
    cannot possibly correctly answer that question...

    But NO H as two answers to contradict, because any given H only have ONE
    answer it gives.

    You don't seem to understand that basic fact.

    A given program will do what it does, and not something else.

    Thus, a given H only has one of the path it takes for a given input, the
    other path is only for other inputs.

    For H, when given the H^ built on it, The one it gives will be wrong,
    and the other one right.


    (since it has a false premise, that one of them is correct).

    How do you parse the question:
    "Does the Machine described by your input Halt?" into you set of choices>

    Remember, that part of the proof you are quoting was under the
    presumption that there existed a correct H, so when you arrive at a
    contradiction, the solution is that presumption was false.


    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Thu Mar 14 20:39:16 2024
    XPost: sci.logic

    On 3/14/24 8:21 PM, olcott wrote:
    On 3/14/2024 9:19 PM, Richard Damon wrote:
    On 3/14/24 6:14 PM, olcott wrote:
    On 3/14/2024 8:09 PM, Richard Damon wrote:
    On 3/14/24 5:54 PM, olcott wrote:
    On 3/14/2024 7:23 PM, immibis wrote:
    On 14/03/24 21:59, olcott wrote:
    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and make sure that
    you explain why this element is correct and don't try to switch
    to any other element outside of the above specified set.

    Syntactically invalid question.

    In any language that you are familiar with.


    Well, since the bases of your question is a false premise, there is
    no language it can be properly expresses in truthfully.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    There is no false premise above.
    If there was you would have already pointed it out.


    We HAVE.

    That there IS an H that is correct, is a false premise that all those
    statements were built from.

    That is not a premise, yet isomorphic to the never married
    man that stopped beating his wife.

    What else is it?


    When you ask a man that has never been married:
    Have you stopped beating your wife?

    Which includes TWO false premises:
    1) That he Has a wifre.
    2) That he has beaten her.


    Feb 20, 2015, 11:38:48 AM sci.lang
    *The logical law of polar questions*
    When posed to a man whom has never been married,
    the question: Have you stopped beating your wife?
    Is an incorrect polar question because neither yes nor
    no is a correct answer. https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ



    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mikko@21:1/5 to immibis on Fri Mar 15 13:13:25 2024
    On 2024-03-15 02:22:17 +0000, immibis said:

    On 15/03/24 01:52, olcott wrote:
    On 3/14/2024 7:22 PM, immibis wrote:
    On 14/03/24 21:26, olcott wrote:
    The question posed to Ĥ.H has no correct answer, thus not the
    same question at all.

    nobody cares what question is posed to Ĥ.H. How long are you going to
    keep trying to get away with this strawman deception?

    That you don't care about the foundations of computation is irrelevant.
    When-so-ever anyone or anything is asked a question that is logically
    impossible for them to correctly answer this places no actual limit
    and anyone, anything, or computation.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    It is logically impossible
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))



    Ĥ.H isn't even asked any question. It just runs until it halts and then returns some result.

    If Ĥ is as defined by Linz the only result it ever returns is "no". But
    it may run forever without returning any result.

    --
    Mikko

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Fri Mar 15 09:59:23 2024
    On 3/15/24 9:25 AM, olcott wrote:
    On 3/15/2024 6:13 AM, Mikko wrote:
    On 2024-03-15 02:22:17 +0000, immibis said:

    On 15/03/24 01:52, olcott wrote:
    On 3/14/2024 7:22 PM, immibis wrote:
    On 14/03/24 21:26, olcott wrote:
    The question posed to Ĥ.H has no correct answer, thus not the
    same question at all.

    nobody cares what question is posed to Ĥ.H. How long are you going
    to keep trying to get away with this strawman deception?

    That you don't care about the foundations of computation is irrelevant. >>>> When-so-ever anyone or anything is asked a question that is logically
    impossible for them to correctly answer this places no actual limit
    and anyone, anything, or computation.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    It is logically impossible
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))



    Ĥ.H isn't even asked any question. It just runs until it halts and
    then returns some result.

    If Ĥ is as defined by Linz the only result it ever returns is "no". But
    it may run forever without returning any result.


    That is counter-factual: Linz never gets into this much detail.

    He does.

    What are the 'Final States" of H^.


    Just qn, which is the semantic defined state for NO from H.

    So if H^ is considered to answer ANYTHING, it is just NO.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Fri Mar 15 12:14:54 2024
    XPost: sci.logic

    On 3/15/24 12:00 PM, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said:

    On 3/14/2024 8:06 PM, Richard Damon wrote:
    On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote:
    On 3/14/24 3:04 PM, olcott wrote:
    On 3/14/2024 4:55 PM, Richard Damon wrote:
    On 3/14/24 1:59 PM, olcott wrote:
    On 3/14/2024 3:54 PM, Richard Damon wrote:
    On 3/14/24 1:26 PM, olcott wrote:
    On 3/14/2024 3:20 PM, Richard Damon wrote:
    On 3/14/24 12:32 PM, olcott wrote:
    On 3/14/2024 12:33 PM, Richard Damon wrote:
    On 3/13/24 4:04 PM, olcott wrote:
    On 3/13/2024 5:43 PM, Richard Damon wrote:
    On 3/13/24 2:54 PM, olcott wrote:
    On 3/13/2024 4:39 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 3/13/24 1:52 PM, olcott wrote:
    On 3/13/2024 12:52 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>
    Not quite. It always gets the wrong answer, >>>>>>>>>>>>>>>>>>>>>>>>>> but only one of them for each quesiton. >>>>>>>>>>>>>>>>>>>>>>>>>>

    They all gets the wrong answer on a whole class >>>>>>>>>>>>>>>>>>>>>>>>> of questions

    Wrong. You said. yourself. that H1 gets the >>>>>>>>>>>>>>>>>>>>>>>> right answer for D.


    Since it is a logical impossibility to determine >>>>>>>>>>>>>>>>>>>>>>> the truth
    value of a self-contradictory expression the >>>>>>>>>>>>>>>>>>>>>>> requirement
    for H to do this is bogus.

    Shows you are just a LIAR, as there IS a truth >>>>>>>>>>>>>>>>>>>>>> value to the expression that is the requirment for >>>>>>>>>>>>>>>>>>>>>> ANY SPECIFIC H.


    *Lying about me being a liar may possibly cost your >>>>>>>>>>>>>>>>>>>>> soul*
    *Lying about me being a liar may possibly cost your >>>>>>>>>>>>>>>>>>>>> soul*
    *Lying about me being a liar may possibly cost your >>>>>>>>>>>>>>>>>>>>> soul*

    There is no mapping from H(D,D) to Halts(D,D) that >>>>>>>>>>>>>>>>>>>>> exists.
    This proves that H(D,D) is being asked an incorrect >>>>>>>>>>>>>>>>>>>>> question.


    Why, because it is NOT a LIE.

    You don't even know the definiton of an incorrect >>>>>>>>>>>>>>>>>>>> question.

    I invented it so I get to stipulate its meaning. >>>>>>>>>>>>>>>>>>> https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term.


    Cite a source.


    The fact that there DOES exist a mapping Halt(M,d) >>>>>>>>>>>>>>>>>>>> that maps all Turing Machines and there input to a >>>>>>>>>>>>>>>>>>>> result of Halting / Non-Halting for EVERY member of >>>>>>>>>>>>>>>>>>>> that input set, means tha Halts is a valid mapping >>>>>>>>>>>>>>>>>>>> to ask a decider to try to decider.

    That part is true.
    Likewise when you ask a man that has never been married: >>>>>>>>>>>>>>>>>>> Have you stopped beating tour wife?
    There are some men that have stopped beating their wife. >>>>>>>>>>>>>>>>>>
    Right, because that question include a presumption of >>>>>>>>>>>>>>>>>> something not actually present.


    Although there is a mapping from some men to YES/NO >>>>>>>>>>>>>>>>> there is no mapping from never unmarried men to YES/NO >>>>>>>>>>>>>>>>> thus the question is incorrect for all unmarried men. >>>>>>>>>>>>>>>>>
    Although there is a mapping from some TM/input pairs to >>>>>>>>>>>>>>>>> YES/NO
    there is no mapping from H/D to YES/NO
    thus the question is incorrect for H/D



    Except that the mapping requested is about the INPUTS to >>>>>>>>>>>>>>>> H, not H itsef.


    In order to see that it is an incorrect question we must >>>>>>>>>>>>>>> examine
    the question in detail. Making sure to always ignore this >>>>>>>>>>>>>>> key detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩
    halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩
    does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) >>>>>>>>>>>>>>
    Which isn;t the question at all, so you are just shown to >>>>>>>>>>>>>> be a stupid liar.

    The QUESTION is:

    Does the machine and input described by this input, Halt >>>>>>>>>>>>>> when run?

    The question posed to Ĥ.H has no correct answer, thus not the >>>>>>>>>>>>> same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and make
    sure that
    you explain why this element is correct and don't try to switch >>>>>>>>>>> to any other element outside of the above specified set. >>>>>>>>>>>

    I didn't say there was.


    Then you understand that each question posed to each Ĥ.H in the >>>>>>>>> above set has no correct answer only because each of these answers >>>>>>>>> are contradicted by the machine that H is contained within.


    No, YOU don't understand that the IS a correct answer, just not >>>>>>>> the one that H (or H^.H ) happens to give.


    Then show me which contradicted answer is correct.



    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy and loops so qn >>>>>> was the right answer.
    *The strawman deception is all that you have*

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    *The answer must come from elements of the above set*

    Is a false claim about a strawman deception really the best you can
    say?


    The above are the program/input pairs such that every Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets the wrong answer only because whatever answer that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to the ACTUAL
    QUESTION needs to come from.

    You are just proving your stupidity and duplicity.

    Objective and Subjective Specifications https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's original
    question: Can anyone correctly answer “no” to this question?

    Carol can correctly answer that question with any word that is
    synonymous with "no".

    Here is the one where the loophole is closed:
    Can Carol correctly answer “no” to this [yes/no] question?

    The fact that anyone besides Carol can correctly answer that
    question with a NO and Carol cannot possibly correctly answer
    that question proves that it is a different question when posed
    to Carol than when posed to anyone else.

    Which is IRRELEVENT to the Halting Question, as it is a purely objective question.

    The behavior of the input is INDEPENDENT of the decider looking at it.

    Note, a given H^ is built on a given H, and no other, but can be given
    to any decider to answer, and the correct answer will be the same
    irrespective of you ask. Some will give the right answer, and some will
    give the wrong answer. The fact that that H is in the latter doesn't
    make the question subjective.

    The only way to make the Halting Question subjective is to try to
    redefine it so the input changes with who you ask, but it doesn't.

    The changing H^ to match the H only happens in the Meta, where we prove
    that we can find an H^ that any H will get wrong, but each of those are SEPERATE Halting question (not all one question) and each of those
    seperate questions have a correct answer.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt

    Carol's question posed to Carol <is> isomorphic to input ⟨Ĥ⟩ ⟨Ĥ⟩
    to every Ĥ.H shown above. The fact that some other TM such as H1
    (that is not contradicted) can determine a correct answer proves
    that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question

    Nope.

    The Question doesn't refer to H at all.

    It refers to an input that happens to have a COPY of H embedded in it.

    Thus, we have a difference of identity, even if tied by equivalent
    behavior that can not occur in volitional beings.

    H is not like Carol that can "consider" the question to form an answer.

    H has a FIXED algorithm, and thus H's answer is know before asking the question.

    THe question to Carol can be argued to be invalid because it asks about something in the future, which thus doesn't have a correct answer until
    Carol speaks.

    The Halting Question did have its answer establish before we ask H.

    Thus the questions are not isomorphic, and you are guilty of a false comparison.


    You are just proving your total ignorance of what you have been trying
    to talk about.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Fri Mar 15 12:42:02 2024
    XPost: sci.logic

    On 3/15/24 12:23 PM, olcott wrote:
    On 3/15/2024 2:14 PM, Richard Damon wrote:
    On 3/15/24 12:00 PM, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said:

    On 3/14/2024 8:06 PM, Richard Damon wrote:
    On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote:
    On 3/14/24 3:04 PM, olcott wrote:
    On 3/14/2024 4:55 PM, Richard Damon wrote:
    On 3/14/24 1:59 PM, olcott wrote:
    On 3/14/2024 3:54 PM, Richard Damon wrote:
    On 3/14/24 1:26 PM, olcott wrote:
    On 3/14/2024 3:20 PM, Richard Damon wrote:
    On 3/14/24 12:32 PM, olcott wrote:
    On 3/14/2024 12:33 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>> On 3/13/24 4:04 PM, olcott wrote:
    On 3/13/2024 5:43 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 3/13/24 2:54 PM, olcott wrote:
    On 3/13/2024 4:39 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/13/24 1:52 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 12:52 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Not quite. It always gets the wrong answer, >>>>>>>>>>>>>>>>>>>>>>>>>>>> but only one of them for each quesiton. >>>>>>>>>>>>>>>>>>>>>>>>>>>>

    They all gets the wrong answer on a whole >>>>>>>>>>>>>>>>>>>>>>>>>>> class of questions

    Wrong. You said. yourself. that H1 gets the >>>>>>>>>>>>>>>>>>>>>>>>>> right answer for D.


    Since it is a logical impossibility to >>>>>>>>>>>>>>>>>>>>>>>>> determine the truth
    value of a self-contradictory expression the >>>>>>>>>>>>>>>>>>>>>>>>> requirement
    for H to do this is bogus.

    Shows you are just a LIAR, as there IS a truth >>>>>>>>>>>>>>>>>>>>>>>> value to the expression that is the requirment >>>>>>>>>>>>>>>>>>>>>>>> for ANY SPECIFIC H.


    *Lying about me being a liar may possibly cost >>>>>>>>>>>>>>>>>>>>>>> your soul*
    *Lying about me being a liar may possibly cost >>>>>>>>>>>>>>>>>>>>>>> your soul*
    *Lying about me being a liar may possibly cost >>>>>>>>>>>>>>>>>>>>>>> your soul*

    There is no mapping from H(D,D) to Halts(D,D) >>>>>>>>>>>>>>>>>>>>>>> that exists.
    This proves that H(D,D) is being asked an >>>>>>>>>>>>>>>>>>>>>>> incorrect question.


    Why, because it is NOT a LIE.

    You don't even know the definiton of an incorrect >>>>>>>>>>>>>>>>>>>>>> question.

    I invented it so I get to stipulate its meaning. >>>>>>>>>>>>>>>>>>>>> https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term.


    Cite a source.


    The fact that there DOES exist a mapping Halt(M,d) >>>>>>>>>>>>>>>>>>>>>> that maps all Turing Machines and there input to a >>>>>>>>>>>>>>>>>>>>>> result of Halting / Non-Halting for EVERY member >>>>>>>>>>>>>>>>>>>>>> of that input set, means tha Halts is a valid >>>>>>>>>>>>>>>>>>>>>> mapping to ask a decider to try to decider. >>>>>>>>>>>>>>>>>>>>>>
    That part is true.
    Likewise when you ask a man that has never been >>>>>>>>>>>>>>>>>>>>> married:
    Have you stopped beating tour wife?
    There are some men that have stopped beating their >>>>>>>>>>>>>>>>>>>>> wife.

    Right, because that question include a presumption >>>>>>>>>>>>>>>>>>>> of something not actually present.


    Although there is a mapping from some men to YES/NO >>>>>>>>>>>>>>>>>>> there is no mapping from never unmarried men to YES/NO >>>>>>>>>>>>>>>>>>> thus the question is incorrect for all unmarried men. >>>>>>>>>>>>>>>>>>>
    Although there is a mapping from some TM/input pairs >>>>>>>>>>>>>>>>>>> to YES/NO
    there is no mapping from H/D to YES/NO
    thus the question is incorrect for H/D



    Except that the mapping requested is about the INPUTS >>>>>>>>>>>>>>>>>> to H, not H itsef.


    In order to see that it is an incorrect question we >>>>>>>>>>>>>>>>> must examine
    the question in detail. Making sure to always ignore >>>>>>>>>>>>>>>>> this key detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to
    ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to
    ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) >>>>>>>>>>>>>>>>
    Which isn;t the question at all, so you are just shown >>>>>>>>>>>>>>>> to be a stupid liar.

    The QUESTION is:

    Does the machine and input described by this input, Halt >>>>>>>>>>>>>>>> when run?

    The question posed to Ĥ.H has no correct answer, thus not >>>>>>>>>>>>>>> the
    same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and make
    sure that
    you explain why this element is correct and don't try to >>>>>>>>>>>>> switch
    to any other element outside of the above specified set. >>>>>>>>>>>>>

    I didn't say there was.


    Then you understand that each question posed to each Ĥ.H in the >>>>>>>>>>> above set has no correct answer only because each of these >>>>>>>>>>> answers
    are contradicted by the machine that H is contained within. >>>>>>>>>>>

    No, YOU don't understand that the IS a correct answer, just >>>>>>>>>> not the one that H (or H^.H ) happens to give.


    Then show me which contradicted answer is correct.



    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy and loops so >>>>>>>> qn was the right answer.
    *The strawman deception is all that you have*

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not
    halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    *The answer must come from elements of the above set*

    Is a false claim about a strawman deception really the best you
    can say?


    The above are the program/input pairs such that every Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets the wrong answer only because whatever answer that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to the ACTUAL
    QUESTION needs to come from.

    You are just proving your stupidity and duplicity.

    Objective and Subjective Specifications
    https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's original
    question: Can anyone correctly answer “no” to this question?

    Carol can correctly answer that question with any word that is
    synonymous with "no".

    Here is the one where the loophole is closed:
    Can Carol correctly answer “no” to this [yes/no] question?

    The fact that anyone besides Carol can correctly answer that
    question with a NO and Carol cannot possibly correctly answer
    that question proves that it is a different question when posed
    to Carol than when posed to anyone else.

    Which is IRRELEVENT to the Halting Question, as it is a purely
    objective question.

    The behavior of the input is INDEPENDENT of the decider looking at it.

    Note, a given H^ is built on a given H, and no other, but can be given
    to any decider to answer, and the correct answer will be the same
    irrespective of you ask. Some will give the right answer, and some
    will give the wrong answer. The fact that that H is in the latter
    doesn't make the question subjective.

    The only way to make the Halting Question subjective is to try to
    redefine it so the input changes with who you ask, but it doesn't.

    The changing H^ to match the H only happens in the Meta, where we
    prove that we can find an H^ that any H will get wrong, but each of
    those are SEPERATE Halting question (not all one question) and each of
    those seperate questions have a correct answer.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt

    Carol's question posed to Carol <is> isomorphic to input ⟨Ĥ⟩ ⟨Ĥ⟩ >>> to every Ĥ.H shown above. The fact that some other TM such as H1
    (that is not contradicted) can determine a correct answer proves
    that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question

    Nope.

    The Question doesn't refer to H at all.


    The input ⟨Ĥ⟩ ⟨Ĥ⟩ posed to Ĥ.H
    is isomorphic to this question posed to Carol:
    Can Carol correctly answer “no” to this [yes/no] question?

    Nope. and that LIE is a source of a lot of your ERRORS.

    Carol is a volitional being.
    Thus the "correct" answer to it doesn't yet exist, and thus some
    consider it just an invalid question in the present.

    H is a deterministic machine, that has been stipulated to get her.
    The input is a description of a deterministic machine, that has been
    stupulated to get here.
    The Question, does the input Halt? has a detereministic answer.
    The Answer H gives has a deterministic asnwer.
    The, it is deterministic as to if H was correct or not.


    Thus changing the meaning of the question
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    *in the exact same way that the meaning of this question*

    In other words, you ADMIT to changing the question!

    The, admit to LYING.


    Can Carol correctly answer “no” to this [yes/no] question?
    is changed when it is posed to Carol.


    And that is because the question directly refers to Carol, and thus can
    be subjective.

    Does the machine described by (H^) (H^) doesn't refere to the decider
    that we are asking, it only includes a copy of its algrothm, and not a referance to that exact machine.

    This is a key difference, the two are tied by determinism but not
    identity, and thus it is not "Subjective" which refers to identity.

    You just don't understand the terms.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Fri Mar 15 13:35:46 2024
    XPost: sci.logic

    On 3/15/24 12:50 PM, olcott wrote:
    On 3/15/2024 2:42 PM, Richard Damon wrote:
    On 3/15/24 12:23 PM, olcott wrote:
    On 3/15/2024 2:14 PM, Richard Damon wrote:
    On 3/15/24 12:00 PM, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said:

    On 3/14/2024 8:06 PM, Richard Damon wrote:
    On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote:
    On 3/14/24 3:04 PM, olcott wrote:
    On 3/14/2024 4:55 PM, Richard Damon wrote:
    On 3/14/24 1:59 PM, olcott wrote:
    On 3/14/2024 3:54 PM, Richard Damon wrote:
    On 3/14/24 1:26 PM, olcott wrote:
    On 3/14/2024 3:20 PM, Richard Damon wrote:
    On 3/14/24 12:32 PM, olcott wrote:
    On 3/14/2024 12:33 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 3/13/24 4:04 PM, olcott wrote:
    On 3/13/2024 5:43 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/13/24 2:54 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 4:39 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 1:52 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 12:52 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Not quite. It always gets the wrong >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> answer, but only one of them for each >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> quesiton.


    They all gets the wrong answer on a whole >>>>>>>>>>>>>>>>>>>>>>>>>>>>> class of questions

    Wrong. You said. yourself. that H1 gets the >>>>>>>>>>>>>>>>>>>>>>>>>>>> right answer for D.


    Since it is a logical impossibility to >>>>>>>>>>>>>>>>>>>>>>>>>>> determine the truth
    value of a self-contradictory expression the >>>>>>>>>>>>>>>>>>>>>>>>>>> requirement
    for H to do this is bogus. >>>>>>>>>>>>>>>>>>>>>>>>>>
    Shows you are just a LIAR, as there IS a truth >>>>>>>>>>>>>>>>>>>>>>>>>> value to the expression that is the requirment >>>>>>>>>>>>>>>>>>>>>>>>>> for ANY SPECIFIC H.


    *Lying about me being a liar may possibly cost >>>>>>>>>>>>>>>>>>>>>>>>> your soul*
    *Lying about me being a liar may possibly cost >>>>>>>>>>>>>>>>>>>>>>>>> your soul*
    *Lying about me being a liar may possibly cost >>>>>>>>>>>>>>>>>>>>>>>>> your soul*

    There is no mapping from H(D,D) to Halts(D,D) >>>>>>>>>>>>>>>>>>>>>>>>> that exists.
    This proves that H(D,D) is being asked an >>>>>>>>>>>>>>>>>>>>>>>>> incorrect question.


    Why, because it is NOT a LIE.

    You don't even know the definiton of an >>>>>>>>>>>>>>>>>>>>>>>> incorrect question.

    I invented it so I get to stipulate its meaning. >>>>>>>>>>>>>>>>>>>>>>> https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term.


    Cite a source.


    The fact that there DOES exist a mapping >>>>>>>>>>>>>>>>>>>>>>>> Halt(M,d) that maps all Turing Machines and >>>>>>>>>>>>>>>>>>>>>>>> there input to a result of Halting / Non-Halting >>>>>>>>>>>>>>>>>>>>>>>> for EVERY member of that input set, means tha >>>>>>>>>>>>>>>>>>>>>>>> Halts is a valid mapping to ask a decider to try >>>>>>>>>>>>>>>>>>>>>>>> to decider.

    That part is true.
    Likewise when you ask a man that has never been >>>>>>>>>>>>>>>>>>>>>>> married:
    Have you stopped beating tour wife? >>>>>>>>>>>>>>>>>>>>>>> There are some men that have stopped beating >>>>>>>>>>>>>>>>>>>>>>> their wife.

    Right, because that question include a presumption >>>>>>>>>>>>>>>>>>>>>> of something not actually present. >>>>>>>>>>>>>>>>>>>>>>

    Although there is a mapping from some men to YES/NO >>>>>>>>>>>>>>>>>>>>> there is no mapping from never unmarried men to YES/NO >>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for all unmarried men. >>>>>>>>>>>>>>>>>>>>>
    Although there is a mapping from some TM/input >>>>>>>>>>>>>>>>>>>>> pairs to YES/NO
    there is no mapping from H/D to YES/NO >>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for H/D >>>>>>>>>>>>>>>>>>>>>


    Except that the mapping requested is about the >>>>>>>>>>>>>>>>>>>> INPUTS to H, not H itsef.


    In order to see that it is an incorrect question we >>>>>>>>>>>>>>>>>>> must examine
    the question in detail. Making sure to always ignore >>>>>>>>>>>>>>>>>>> this key detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to
    ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to
    ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you are just shown >>>>>>>>>>>>>>>>>> to be a stupid liar.

    The QUESTION is:

    Does the machine and input described by this input, >>>>>>>>>>>>>>>>>> Halt when run?

    The question posed to Ĥ.H has no correct answer, thus >>>>>>>>>>>>>>>>> not the
    same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and make
    sure that
    you explain why this element is correct and don't try to >>>>>>>>>>>>>>> switch
    to any other element outside of the above specified set. >>>>>>>>>>>>>>>

    I didn't say there was.


    Then you understand that each question posed to each Ĥ.H in >>>>>>>>>>>>> the
    above set has no correct answer only because each of these >>>>>>>>>>>>> answers
    are contradicted by the machine that H is contained within. >>>>>>>>>>>>>

    No, YOU don't understand that the IS a correct answer, just >>>>>>>>>>>> not the one that H (or H^.H ) happens to give.


    Then show me which contradicted answer is correct.



    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy and loops >>>>>>>>>> so qn was the right answer.
    *The strawman deception is all that you have*

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does
    not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) >>>>>>>>>
    *The answer must come from elements of the above set*

    Is a false claim about a strawman deception really the best you >>>>>>>> can say?


    The above are the program/input pairs such that every Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets the wrong answer only because whatever answer that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to the ACTUAL
    QUESTION needs to come from.

    You are just proving your stupidity and duplicity.

    Objective and Subjective Specifications
    https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's original
    question: Can anyone correctly answer “no” to this question?

    Carol can correctly answer that question with any word that is
    synonymous with "no".

    Here is the one where the loophole is closed:
    Can Carol correctly answer “no” to this [yes/no] question?

    The fact that anyone besides Carol can correctly answer that
    question with a NO and Carol cannot possibly correctly answer
    that question proves that it is a different question when posed
    to Carol than when posed to anyone else.

    Which is IRRELEVENT to the Halting Question, as it is a purely
    objective question.

    The behavior of the input is INDEPENDENT of the decider looking at it. >>>>
    Note, a given H^ is built on a given H, and no other, but can be
    given to any decider to answer, and the correct answer will be the
    same irrespective of you ask. Some will give the right answer, and
    some will give the wrong answer. The fact that that H is in the
    latter doesn't make the question subjective.

    The only way to make the Halting Question subjective is to try to
    redefine it so the input changes with who you ask, but it doesn't.

    The changing H^ to match the H only happens in the Meta, where we
    prove that we can find an H^ that any H will get wrong, but each of
    those are SEPERATE Halting question (not all one question) and each
    of those seperate questions have a correct answer.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt

    Carol's question posed to Carol <is> isomorphic to input ⟨Ĥ⟩ ⟨Ĥ⟩
    to every Ĥ.H shown above. The fact that some other TM such as H1
    (that is not contradicted) can determine a correct answer proves
    that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question

    Nope.

    The Question doesn't refer to H at all.


    The input ⟨Ĥ⟩ ⟨Ĥ⟩ posed to Ĥ.H
    is isomorphic to this question posed to Carol:
    Can Carol correctly answer “no” to this [yes/no] question?

    Nope. and that LIE is a source of a lot of your ERRORS.

    Carol is a volitional being.

    When we hypothesize that Carol is the name of an AI machine
    everything remains the same.

    Nope.

    Once Carol become deterministic, then the whole thing changes.


    Thus the "correct" answer to it doesn't yet exist, and thus some
    consider it just an invalid question in the present.

    H is a deterministic machine, that has been stipulated to get her.
    The input is a description of a deterministic machine, that has been
    stupulated to get here.
    The Question, does the input Halt? has a detereministic answer.
    The Answer H gives has a deterministic asnwer.
    The, it is deterministic as to if H was correct or not.


    Thus changing the meaning of the question
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    *in the exact same way that the meaning of this question*

    In other words, you ADMIT to changing the question!

    The, admit to LYING.


    (a) Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    is isomorphic to:
    (b) Can Carol correctly answer “no” to this [yes/no] question?
    posed to an AI machine named Carol.


    Nope. Explained.

    Shoe the ISOMORPHISM

    Be Specific about what each part maps to.

    Then I can try to refute your incorrect isomorphism.


    Can Carol correctly answer “no” to this [yes/no] question?
    is changed when it is posed to Carol.


    And that is because the question directly refers to Carol, and thus
    can be subjective.

    Does the machine described by (H^) (H^) doesn't refere to the decider
    that we are asking, it only includes a copy of its algrothm, and not a
    referance to that exact machine.

    This is a key difference, the two are tied by determinism but not
    identity, and thus it is not "Subjective" which refers to identity.

    You just don't understand the terms.

    In both cases the answer is contradicted thus making both
    cases isomorphic to each other.

    Nope.

    I guess you don't actually understand what "Isomorphism" means, and are
    just parroting words you have heard.


    The only reason that:
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    cannot be correctly answered is that the specific Ĥ.H
    is contradicted.

    The QUESTION is "Does H^ (H^) Halt?"
    That question has an answer, since to ask it, the H that H^ has been
    built on has been stipulated.

    That answer is OBJECTIVE as the correct answer doesn't matter who you
    ask it to, and that answer can be determined without knowing who you are
    going to ask it to.

    So, some machine will get it correct, and some will get it wrong.
    That H that H^ was built on, will just happen to be in the set that get
    it wrong.


    The only reason that:
    Can Carol correctly answer “no” to this [yes/no] question?
    posed to Carol
    cannot be correctly answered is that the specific Carol
    is contradicted.


    Right, if Carol is a volitional being, then since the question askes
    about a future action of Carol the answer does NOT have a current
    objective correct answer, and thus can be considered an incorrect
    objective question.

    It is asking about prophesy or future prediction, which doesn't actually
    have a correct answer until some point in the future.

    This makes it a DIFFERENT sort of question.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Fri Mar 15 15:13:28 2024
    XPost: sci.logic

    On 3/15/24 1:42 PM, olcott wrote:
    On 3/15/2024 3:35 PM, Richard Damon wrote:
    On 3/15/24 12:50 PM, olcott wrote:
    On 3/15/2024 2:42 PM, Richard Damon wrote:
    On 3/15/24 12:23 PM, olcott wrote:
    On 3/15/2024 2:14 PM, Richard Damon wrote:
    On 3/15/24 12:00 PM, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said:

    On 3/14/2024 8:06 PM, Richard Damon wrote:
    On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote:
    On 3/14/24 3:04 PM, olcott wrote:
    On 3/14/2024 4:55 PM, Richard Damon wrote:
    On 3/14/24 1:59 PM, olcott wrote:
    On 3/14/2024 3:54 PM, Richard Damon wrote:
    On 3/14/24 1:26 PM, olcott wrote:
    On 3/14/2024 3:20 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 3/14/24 12:32 PM, olcott wrote:
    On 3/14/2024 12:33 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/13/24 4:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 5:43 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 2:54 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 4:39 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 1:52 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 12:52 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Not quite. It always gets the wrong >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> answer, but only one of them for each >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> quesiton.


    They all gets the wrong answer on a whole >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> class of questions >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Wrong. You said. yourself. that H1 gets >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> the right answer for D. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Since it is a logical impossibility to >>>>>>>>>>>>>>>>>>>>>>>>>>>>> determine the truth
    value of a self-contradictory expression >>>>>>>>>>>>>>>>>>>>>>>>>>>>> the requirement
    for H to do this is bogus. >>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Shows you are just a LIAR, as there IS a >>>>>>>>>>>>>>>>>>>>>>>>>>>> truth value to the expression that is the >>>>>>>>>>>>>>>>>>>>>>>>>>>> requirment for ANY SPECIFIC H. >>>>>>>>>>>>>>>>>>>>>>>>>>>>

    *Lying about me being a liar may possibly >>>>>>>>>>>>>>>>>>>>>>>>>>> cost your soul*
    *Lying about me being a liar may possibly >>>>>>>>>>>>>>>>>>>>>>>>>>> cost your soul*
    *Lying about me being a liar may possibly >>>>>>>>>>>>>>>>>>>>>>>>>>> cost your soul*

    There is no mapping from H(D,D) to Halts(D,D) >>>>>>>>>>>>>>>>>>>>>>>>>>> that exists.
    This proves that H(D,D) is being asked an >>>>>>>>>>>>>>>>>>>>>>>>>>> incorrect question.


    Why, because it is NOT a LIE. >>>>>>>>>>>>>>>>>>>>>>>>>>
    You don't even know the definiton of an >>>>>>>>>>>>>>>>>>>>>>>>>> incorrect question.

    I invented it so I get to stipulate its meaning. >>>>>>>>>>>>>>>>>>>>>>>>> https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term.


    Cite a source.


    The fact that there DOES exist a mapping >>>>>>>>>>>>>>>>>>>>>>>>>> Halt(M,d) that maps all Turing Machines and >>>>>>>>>>>>>>>>>>>>>>>>>> there input to a result of Halting / >>>>>>>>>>>>>>>>>>>>>>>>>> Non-Halting for EVERY member of that input >>>>>>>>>>>>>>>>>>>>>>>>>> set, means tha Halts is a valid mapping to ask >>>>>>>>>>>>>>>>>>>>>>>>>> a decider to try to decider. >>>>>>>>>>>>>>>>>>>>>>>>>>
    That part is true.
    Likewise when you ask a man that has never been >>>>>>>>>>>>>>>>>>>>>>>>> married:
    Have you stopped beating tour wife? >>>>>>>>>>>>>>>>>>>>>>>>> There are some men that have stopped beating >>>>>>>>>>>>>>>>>>>>>>>>> their wife.

    Right, because that question include a >>>>>>>>>>>>>>>>>>>>>>>> presumption of something not actually present. >>>>>>>>>>>>>>>>>>>>>>>>

    Although there is a mapping from some men to YES/NO >>>>>>>>>>>>>>>>>>>>>>> there is no mapping from never unmarried men to >>>>>>>>>>>>>>>>>>>>>>> YES/NO
    thus the question is incorrect for all unmarried >>>>>>>>>>>>>>>>>>>>>>> men.

    Although there is a mapping from some TM/input >>>>>>>>>>>>>>>>>>>>>>> pairs to YES/NO
    there is no mapping from H/D to YES/NO >>>>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for H/D >>>>>>>>>>>>>>>>>>>>>>>


    Except that the mapping requested is about the >>>>>>>>>>>>>>>>>>>>>> INPUTS to H, not H itsef.


    In order to see that it is an incorrect question we >>>>>>>>>>>>>>>>>>>>> must examine
    the question in detail. Making sure to always >>>>>>>>>>>>>>>>>>>>> ignore this key detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied
    to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied
    to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you are just >>>>>>>>>>>>>>>>>>>> shown to be a stupid liar.

    The QUESTION is:

    Does the machine and input described by this input, >>>>>>>>>>>>>>>>>>>> Halt when run?

    The question posed to Ĥ.H has no correct answer, thus >>>>>>>>>>>>>>>>>>> not the
    same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and
    make sure that
    you explain why this element is correct and don't try >>>>>>>>>>>>>>>>> to switch
    to any other element outside of the above specified set. >>>>>>>>>>>>>>>>>

    I didn't say there was.


    Then you understand that each question posed to each Ĥ.H >>>>>>>>>>>>>>> in the
    above set has no correct answer only because each of >>>>>>>>>>>>>>> these answers
    are contradicted by the machine that H is contained within. >>>>>>>>>>>>>>>

    No, YOU don't understand that the IS a correct answer, >>>>>>>>>>>>>> just not the one that H (or H^.H ) happens to give. >>>>>>>>>>>>>>

    Then show me which contradicted answer is correct.



    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy and loops >>>>>>>>>>>> so qn was the right answer.
    *The strawman deception is all that you have*

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does
    not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) >>>>>>>>>>>
    *The answer must come from elements of the above set*

    Is a false claim about a strawman deception really the best >>>>>>>>>> you can say?


    The above are the program/input pairs such that every Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets the wrong answer only because whatever answer that Ĥ.H ⟨Ĥ⟩ >>>>>>>>> ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to the ACTUAL >>>>>>>> QUESTION needs to come from.

    You are just proving your stupidity and duplicity.

    Objective and Subjective Specifications
    https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's original
    question: Can anyone correctly answer “no” to this question? >>>>>>>
    Carol can correctly answer that question with any word that is
    synonymous with "no".

    Here is the one where the loophole is closed:
    Can Carol correctly answer “no” to this [yes/no] question?

    The fact that anyone besides Carol can correctly answer that
    question with a NO and Carol cannot possibly correctly answer
    that question proves that it is a different question when posed
    to Carol than when posed to anyone else.

    Which is IRRELEVENT to the Halting Question, as it is a purely
    objective question.

    The behavior of the input is INDEPENDENT of the decider looking at >>>>>> it.

    Note, a given H^ is built on a given H, and no other, but can be
    given to any decider to answer, and the correct answer will be the >>>>>> same irrespective of you ask. Some will give the right answer, and >>>>>> some will give the wrong answer. The fact that that H is in the
    latter doesn't make the question subjective.

    The only way to make the Halting Question subjective is to try to
    redefine it so the input changes with who you ask, but it doesn't. >>>>>>
    The changing H^ to match the H only happens in the Meta, where we
    prove that we can find an H^ that any H will get wrong, but each
    of those are SEPERATE Halting question (not all one question) and
    each of those seperate questions have a correct answer.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not
    halt

    Carol's question posed to Carol <is> isomorphic to input ⟨Ĥ⟩ ⟨Ĥ⟩
    to every Ĥ.H shown above. The fact that some other TM such as H1 >>>>>>> (that is not contradicted) can determine a correct answer proves >>>>>>> that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question

    Nope.

    The Question doesn't refer to H at all.


    The input ⟨Ĥ⟩ ⟨Ĥ⟩ posed to Ĥ.H
    is isomorphic to this question posed to Carol:
    Can Carol correctly answer “no” to this [yes/no] question?

    Nope. and that LIE is a source of a lot of your ERRORS.

    Carol is a volitional being.

    When we hypothesize that Carol is the name of an AI machine
    everything remains the same.

    Nope.

    Once Carol become deterministic, then the whole thing changes.


    The only reason that:
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    cannot be correctly answered is that the specific Ĥ.H is contradicted.

    The only reason that:
    Can Carol correctly answer “no” to this [yes/no] question? posed to Carol cannot be correctly answered is that the specific Carol is contradicted.


    Nope.

    You aren't showing any ERRORS I made but just asserting your FALSE
    claims again.

    Inability to show WHY my description was wrong just proves you have no
    basis.


    You are just demonstrating that you don't understand how logic works.

    It seems you think this is just some abstract philosophy where anything
    goes and rhetoric rules.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Fri Mar 15 16:02:41 2024
    XPost: sci.logic

    On 3/15/24 3:47 PM, olcott wrote:
    On 3/15/2024 5:13 PM, Richard Damon wrote:
    On 3/15/24 1:42 PM, olcott wrote:
    On 3/15/2024 3:35 PM, Richard Damon wrote:
    On 3/15/24 12:50 PM, olcott wrote:
    On 3/15/2024 2:42 PM, Richard Damon wrote:
    On 3/15/24 12:23 PM, olcott wrote:
    On 3/15/2024 2:14 PM, Richard Damon wrote:
    On 3/15/24 12:00 PM, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said:

    On 3/14/2024 8:06 PM, Richard Damon wrote:
    On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote:
    On 3/14/24 3:04 PM, olcott wrote:
    On 3/14/2024 4:55 PM, Richard Damon wrote:
    On 3/14/24 1:59 PM, olcott wrote:
    On 3/14/2024 3:54 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 3/14/24 1:26 PM, olcott wrote:
    On 3/14/2024 3:20 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/14/24 12:32 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 12:33 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 4:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 5:43 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 2:54 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 4:39 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 1:52 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 12:52 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard Damon >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote:

    Not quite. It always gets the wrong >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> answer, but only one of them for each >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> quesiton.


    They all gets the wrong answer on a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> whole class of questions >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Wrong. You said. yourself. that H1 gets >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> the right answer for D. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Since it is a logical impossibility to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> determine the truth >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> value of a self-contradictory expression >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> the requirement
    for H to do this is bogus. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Shows you are just a LIAR, as there IS a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> truth value to the expression that is the >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> requirment for ANY SPECIFIC H. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    *Lying about me being a liar may possibly >>>>>>>>>>>>>>>>>>>>>>>>>>>>> cost your soul*
    *Lying about me being a liar may possibly >>>>>>>>>>>>>>>>>>>>>>>>>>>>> cost your soul*
    *Lying about me being a liar may possibly >>>>>>>>>>>>>>>>>>>>>>>>>>>>> cost your soul*

    There is no mapping from H(D,D) to >>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halts(D,D) that exists. >>>>>>>>>>>>>>>>>>>>>>>>>>>>> This proves that H(D,D) is being asked an >>>>>>>>>>>>>>>>>>>>>>>>>>>>> incorrect question.


    Why, because it is NOT a LIE. >>>>>>>>>>>>>>>>>>>>>>>>>>>>
    You don't even know the definiton of an >>>>>>>>>>>>>>>>>>>>>>>>>>>> incorrect question.

    I invented it so I get to stipulate its meaning. >>>>>>>>>>>>>>>>>>>>>>>>>>> https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term. >>>>>>>>>>>>>>>>>>>>>>>>>>

    Cite a source.


    The fact that there DOES exist a mapping >>>>>>>>>>>>>>>>>>>>>>>>>>>> Halt(M,d) that maps all Turing Machines and >>>>>>>>>>>>>>>>>>>>>>>>>>>> there input to a result of Halting / >>>>>>>>>>>>>>>>>>>>>>>>>>>> Non-Halting for EVERY member of that input >>>>>>>>>>>>>>>>>>>>>>>>>>>> set, means tha Halts is a valid mapping to >>>>>>>>>>>>>>>>>>>>>>>>>>>> ask a decider to try to decider. >>>>>>>>>>>>>>>>>>>>>>>>>>>>
    That part is true.
    Likewise when you ask a man that has never >>>>>>>>>>>>>>>>>>>>>>>>>>> been married:
    Have you stopped beating tour wife? >>>>>>>>>>>>>>>>>>>>>>>>>>> There are some men that have stopped beating >>>>>>>>>>>>>>>>>>>>>>>>>>> their wife.

    Right, because that question include a >>>>>>>>>>>>>>>>>>>>>>>>>> presumption of something not actually present. >>>>>>>>>>>>>>>>>>>>>>>>>>

    Although there is a mapping from some men to >>>>>>>>>>>>>>>>>>>>>>>>> YES/NO
    there is no mapping from never unmarried men to >>>>>>>>>>>>>>>>>>>>>>>>> YES/NO
    thus the question is incorrect for all >>>>>>>>>>>>>>>>>>>>>>>>> unmarried men.

    Although there is a mapping from some TM/input >>>>>>>>>>>>>>>>>>>>>>>>> pairs to YES/NO
    there is no mapping from H/D to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for H/D >>>>>>>>>>>>>>>>>>>>>>>>>


    Except that the mapping requested is about the >>>>>>>>>>>>>>>>>>>>>>>> INPUTS to H, not H itsef.


    In order to see that it is an incorrect question >>>>>>>>>>>>>>>>>>>>>>> we must examine
    the question in detail. Making sure to always >>>>>>>>>>>>>>>>>>>>>>> ignore this key detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied
    to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied
    to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you are just >>>>>>>>>>>>>>>>>>>>>> shown to be a stupid liar.

    The QUESTION is:

    Does the machine and input described by this >>>>>>>>>>>>>>>>>>>>>> input, Halt when run?

    The question posed to Ĥ.H has no correct answer, >>>>>>>>>>>>>>>>>>>>> thus not the
    same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and
    make sure that
    you explain why this element is correct and don't try >>>>>>>>>>>>>>>>>>> to switch
    to any other element outside of the above specified set. >>>>>>>>>>>>>>>>>>>

    I didn't say there was.


    Then you understand that each question posed to each >>>>>>>>>>>>>>>>> Ĥ.H in the
    above set has no correct answer only because each of >>>>>>>>>>>>>>>>> these answers
    are contradicted by the machine that H is contained >>>>>>>>>>>>>>>>> within.


    No, YOU don't understand that the IS a correct answer, >>>>>>>>>>>>>>>> just not the one that H (or H^.H ) happens to give. >>>>>>>>>>>>>>>>

    Then show me which contradicted answer is correct. >>>>>>>>>>>>>>>


    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy and >>>>>>>>>>>>>> loops so qn was the right answer.
    *The strawman deception is all that you have*

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩
    does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) >>>>>>>>>>>>>
    *The answer must come from elements of the above set* >>>>>>>>>>>>
    Is a false claim about a strawman deception really the best >>>>>>>>>>>> you can say?


    The above are the program/input pairs such that every Ĥ.H ⟨Ĥ⟩ >>>>>>>>>>> ⟨Ĥ⟩
    gets the wrong answer only because whatever answer that Ĥ.H >>>>>>>>>>> ⟨Ĥ⟩ ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to the
    ACTUAL QUESTION needs to come from.

    You are just proving your stupidity and duplicity.

    Objective and Subjective Specifications
    https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's original >>>>>>>>> question: Can anyone correctly answer “no” to this question? >>>>>>>>>
    Carol can correctly answer that question with any word that is >>>>>>>>> synonymous with "no".

    Here is the one where the loophole is closed:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>
    The fact that anyone besides Carol can correctly answer that >>>>>>>>> question with a NO and Carol cannot possibly correctly answer >>>>>>>>> that question proves that it is a different question when posed >>>>>>>>> to Carol than when posed to anyone else.

    Which is IRRELEVENT to the Halting Question, as it is a purely >>>>>>>> objective question.

    The behavior of the input is INDEPENDENT of the decider looking >>>>>>>> at it.

    Note, a given H^ is built on a given H, and no other, but can be >>>>>>>> given to any decider to answer, and the correct answer will be >>>>>>>> the same irrespective of you ask. Some will give the right
    answer, and some will give the wrong answer. The fact that that >>>>>>>> H is in the latter doesn't make the question subjective.

    The only way to make the Halting Question subjective is to try >>>>>>>> to redefine it so the input changes with who you ask, but it
    doesn't.

    The changing H^ to match the H only happens in the Meta, where >>>>>>>> we prove that we can find an H^ that any H will get wrong, but >>>>>>>> each of those are SEPERATE Halting question (not all one
    question) and each of those seperate questions have a correct
    answer.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does
    not halt

    Carol's question posed to Carol <is> isomorphic to input ⟨Ĥ⟩ ⟨Ĥ⟩
    to every Ĥ.H shown above. The fact that some other TM such as H1 >>>>>>>>> (that is not contradicted) can determine a correct answer proves >>>>>>>>> that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question

    Nope.

    The Question doesn't refer to H at all.


    The input ⟨Ĥ⟩ ⟨Ĥ⟩ posed to Ĥ.H
    is isomorphic to this question posed to Carol:
    Can Carol correctly answer “no” to this [yes/no] question?

    Nope. and that LIE is a source of a lot of your ERRORS.

    Carol is a volitional being.

    When we hypothesize that Carol is the name of an AI machine
    everything remains the same.

    Nope.

    Once Carol become deterministic, then the whole thing changes.


    The only reason that:
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    cannot be correctly answered is that the specific Ĥ.H is contradicted.

    The only reason that:
    Can Carol correctly answer “no” to this [yes/no] question? posed to
    Carol
    cannot be correctly answered is that the specific Carol is contradicted. >>>

    Nope.

    You aren't showing any ERRORS I made but just asserting your FALSE
    claims again.

    Inability to show WHY my description was wrong just proves you have no
    basis.


    You are just demonstrating that you don't understand how logic works.

    It seems you think this is just some abstract philosophy where
    anything goes and rhetoric rules.


    *You have provided zero correct reasoning of how*
    *Carol's question posed to Carol*
    *is not contradicted just like*
    *Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H is contradicted*


    Yes, I have.

    YOU have provided ZERO reasoning how they are.

    Dos H^ (H^) Halt? even when posed to H^.H has an answer!

    It may not be the answer that H^.H gives, but it the answer.

    There is NO requirement that H be right, unless you are working under a presumption that H is correct, at which point the contradiction proves
    that your presumption is wrong.

    It seems you don't understand the simple basics of logic.

    Because you are just too stupid.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Fri Mar 15 16:40:57 2024
    XPost: sci.logic

    On 3/15/24 4:17 PM, olcott wrote:
    On 3/15/2024 6:02 PM, Richard Damon wrote:
    On 3/15/24 3:47 PM, olcott wrote:
    On 3/15/2024 5:13 PM, Richard Damon wrote:
    On 3/15/24 1:42 PM, olcott wrote:
    On 3/15/2024 3:35 PM, Richard Damon wrote:
    On 3/15/24 12:50 PM, olcott wrote:
    On 3/15/2024 2:42 PM, Richard Damon wrote:
    On 3/15/24 12:23 PM, olcott wrote:
    On 3/15/2024 2:14 PM, Richard Damon wrote:
    On 3/15/24 12:00 PM, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said:

    On 3/14/2024 8:06 PM, Richard Damon wrote:
    On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote:
    On 3/14/24 3:04 PM, olcott wrote:
    On 3/14/2024 4:55 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 3/14/24 1:59 PM, olcott wrote:
    On 3/14/2024 3:54 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:26 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:20 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 12:32 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 12:33 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 4:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 5:43 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 2:54 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 4:39 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 1:52 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 12:52 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard Damon >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote:

    Not quite. It always gets the wrong >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> answer, but only one of them for >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> each quesiton. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    They all gets the wrong answer on a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> whole class of questions >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Wrong. You said. yourself. that H1 >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> gets the right answer for D. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Since it is a logical impossibility to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> determine the truth >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> value of a self-contradictory >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> expression the requirement >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> for H to do this is bogus. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Shows you are just a LIAR, as there IS a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> truth value to the expression that is >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> the requirment for ANY SPECIFIC H. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    *Lying about me being a liar may possibly >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> cost your soul*
    *Lying about me being a liar may possibly >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> cost your soul*
    *Lying about me being a liar may possibly >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> cost your soul*

    There is no mapping from H(D,D) to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halts(D,D) that exists. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> This proves that H(D,D) is being asked an >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Why, because it is NOT a LIE. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    You don't even know the definiton of an >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    I invented it so I get to stipulate its >>>>>>>>>>>>>>>>>>>>>>>>>>>>> meaning.
    https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term. >>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Cite a source.


    The fact that there DOES exist a mapping >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halt(M,d) that maps all Turing Machines >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> and there input to a result of Halting / >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Non-Halting for EVERY member of that input >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> set, means tha Halts is a valid mapping to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ask a decider to try to decider. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    That part is true.
    Likewise when you ask a man that has never >>>>>>>>>>>>>>>>>>>>>>>>>>>>> been married:
    Have you stopped beating tour wife? >>>>>>>>>>>>>>>>>>>>>>>>>>>>> There are some men that have stopped >>>>>>>>>>>>>>>>>>>>>>>>>>>>> beating their wife.

    Right, because that question include a >>>>>>>>>>>>>>>>>>>>>>>>>>>> presumption of something not actually present. >>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Although there is a mapping from some men to >>>>>>>>>>>>>>>>>>>>>>>>>>> YES/NO
    there is no mapping from never unmarried men >>>>>>>>>>>>>>>>>>>>>>>>>>> to YES/NO
    thus the question is incorrect for all >>>>>>>>>>>>>>>>>>>>>>>>>>> unmarried men.

    Although there is a mapping from some >>>>>>>>>>>>>>>>>>>>>>>>>>> TM/input pairs to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>> there is no mapping from H/D to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for H/D >>>>>>>>>>>>>>>>>>>>>>>>>>>


    Except that the mapping requested is about the >>>>>>>>>>>>>>>>>>>>>>>>>> INPUTS to H, not H itsef.


    In order to see that it is an incorrect >>>>>>>>>>>>>>>>>>>>>>>>> question we must examine
    the question in detail. Making sure to always >>>>>>>>>>>>>>>>>>>>>>>>> ignore this key detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ
    applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ
    applied to ⟨Ĥ⟩ does not halt >>>>>>>>>>>>>>>>>>>>>>>>> ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you are just >>>>>>>>>>>>>>>>>>>>>>>> shown to be a stupid liar.

    The QUESTION is:

    Does the machine and input described by this >>>>>>>>>>>>>>>>>>>>>>>> input, Halt when run?

    The question posed to Ĥ.H has no correct answer, >>>>>>>>>>>>>>>>>>>>>>> thus not the
    same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct
    and make sure that
    you explain why this element is correct and don't >>>>>>>>>>>>>>>>>>>>> try to switch
    to any other element outside of the above specified >>>>>>>>>>>>>>>>>>>>> set.


    I didn't say there was.


    Then you understand that each question posed to each >>>>>>>>>>>>>>>>>>> Ĥ.H in the
    above set has no correct answer only because each of >>>>>>>>>>>>>>>>>>> these answers
    are contradicted by the machine that H is contained >>>>>>>>>>>>>>>>>>> within.


    No, YOU don't understand that the IS a correct answer, >>>>>>>>>>>>>>>>>> just not the one that H (or H^.H ) happens to give. >>>>>>>>>>>>>>>>>>

    Then show me which contradicted answer is correct. >>>>>>>>>>>>>>>>>


    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy and >>>>>>>>>>>>>>>> loops so qn was the right answer.
    *The strawman deception is all that you have*

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩
    halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩
    does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) >>>>>>>>>>>>>>>
    *The answer must come from elements of the above set* >>>>>>>>>>>>>>
    Is a false claim about a strawman deception really the >>>>>>>>>>>>>> best you can say?


    The above are the program/input pairs such that every Ĥ.H >>>>>>>>>>>>> ⟨Ĥ⟩ ⟨Ĥ⟩
    gets the wrong answer only because whatever answer that Ĥ.H >>>>>>>>>>>>> ⟨Ĥ⟩ ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to the >>>>>>>>>>>> ACTUAL QUESTION needs to come from.

    You are just proving your stupidity and duplicity.

    Objective and Subjective Specifications
    https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's original >>>>>>>>>>> question: Can anyone correctly answer “no” to this question? >>>>>>>>>>>
    Carol can correctly answer that question with any word that is >>>>>>>>>>> synonymous with "no".

    Here is the one where the loophole is closed:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>>
    The fact that anyone besides Carol can correctly answer that >>>>>>>>>>> question with a NO and Carol cannot possibly correctly answer >>>>>>>>>>> that question proves that it is a different question when posed >>>>>>>>>>> to Carol than when posed to anyone else.

    Which is IRRELEVENT to the Halting Question, as it is a purely >>>>>>>>>> objective question.

    The behavior of the input is INDEPENDENT of the decider
    looking at it.

    Note, a given H^ is built on a given H, and no other, but can >>>>>>>>>> be given to any decider to answer, and the correct answer will >>>>>>>>>> be the same irrespective of you ask. Some will give the right >>>>>>>>>> answer, and some will give the wrong answer. The fact that >>>>>>>>>> that H is in the latter doesn't make the question subjective. >>>>>>>>>>
    The only way to make the Halting Question subjective is to try >>>>>>>>>> to redefine it so the input changes with who you ask, but it >>>>>>>>>> doesn't.

    The changing H^ to match the H only happens in the Meta, where >>>>>>>>>> we prove that we can find an H^ that any H will get wrong, but >>>>>>>>>> each of those are SEPERATE Halting question (not all one
    question) and each of those seperate questions have a correct >>>>>>>>>> answer.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does
    not halt

    Carol's question posed to Carol <is> isomorphic to input ⟨Ĥ⟩ ⟨Ĥ⟩
    to every Ĥ.H shown above. The fact that some other TM such as H1 >>>>>>>>>>> (that is not contradicted) can determine a correct answer proves >>>>>>>>>>> that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question

    Nope.

    The Question doesn't refer to H at all.


    The input ⟨Ĥ⟩ ⟨Ĥ⟩ posed to Ĥ.H
    is isomorphic to this question posed to Carol:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>
    Nope. and that LIE is a source of a lot of your ERRORS.

    Carol is a volitional being.

    When we hypothesize that Carol is the name of an AI machine
    everything remains the same.

    Nope.

    Once Carol become deterministic, then the whole thing changes.


    The only reason that:
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    cannot be correctly answered is that the specific Ĥ.H is contradicted. >>>>>
    The only reason that:
    Can Carol correctly answer “no” to this [yes/no] question? posed to >>>>> Carol
    cannot be correctly answered is that the specific Carol is
    contradicted.


    Nope.

    You aren't showing any ERRORS I made but just asserting your FALSE
    claims again.

    Inability to show WHY my description was wrong just proves you have
    no basis.


    You are just demonstrating that you don't understand how logic works.

    It seems you think this is just some abstract philosophy where
    anything goes and rhetoric rules.


    *You have provided zero correct reasoning of how*
    *Carol's question posed to Carol*
    *is not contradicted just like*
    *Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H is contradicted*


    Yes, I have.

    YOU have provided ZERO reasoning how they are.

    Dos H^ (H^) Halt? even when posed to H^.H has an answer!


    When posed to each entity (Carol/Ĥ.H)
    their respective question (a)/(b):
    (a) Carol correctly answer “no” to this [yes/no] question?
    (b) Does Ĥ ⟨Ĥ⟩ halt?
    lacks a correct answer because this answer is contradicted.

    *Incorrect questions do not lack answers they lack correct answers*
    Carol could answer by flipping the bird.


    Nope,

    (b) Does H^ (H^) Halt?
    has as a prerequisite that we HAVE a specific H^ defined, which means we
    have a specific H defined that it will foil.

    Thus H^ (H^) Has definite behavior, and thus a definite answer.

    That answer will be the opposite of what H says, but that is irrelevnt
    for determining the correct answer to the question.

    H, being deterministic, doesn't havve a choice as to what to say.

    So, the fact that H is wrong doesn't invalidate the question or the
    correct answer.


    (a) on the other hand, is give a question which doesn't have an answer
    yet, and won't until she answers, because Carol has free will.

    it also can be an invalid question as it presumes that Carol WILL choose
    to answer the question.

    So, this becomes a completly different sort of question, and actually
    brings up a number of philosophical questions.

    It can be argued that Carol CAN correctly answer the question with No,
    as in doing so she is shown to be incorrect, and thus her answer was in
    fact correct.

    This shows that this question, has fundamental problems in its framing.

    To get the equivalent for your (b) that question would be:

    What should an H answer to be correct when asked about the halting of a
    machine built on the contrary program template for itself?

    That is NOT the Halting Question. Note, the "input" isn't a defined
    program, but a variable based on the decider chosen, with the
    requirement to find such a decider.

    Your confusion of these just show your stupidity.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Sat Mar 16 03:55:50 2024
    XPost: sci.logic

    On 15/03/24 20:00, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said:

    On 3/14/2024 8:06 PM, Richard Damon wrote:
    On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote:
    On 3/14/24 3:04 PM, olcott wrote:
    On 3/14/2024 4:55 PM, Richard Damon wrote:
    On 3/14/24 1:59 PM, olcott wrote:
    On 3/14/2024 3:54 PM, Richard Damon wrote:
    On 3/14/24 1:26 PM, olcott wrote:
    On 3/14/2024 3:20 PM, Richard Damon wrote:
    On 3/14/24 12:32 PM, olcott wrote:
    On 3/14/2024 12:33 PM, Richard Damon wrote:
    On 3/13/24 4:04 PM, olcott wrote:
    On 3/13/2024 5:43 PM, Richard Damon wrote:
    On 3/13/24 2:54 PM, olcott wrote:
    On 3/13/2024 4:39 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 3/13/24 1:52 PM, olcott wrote:
    On 3/13/2024 12:52 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>
    Not quite. It always gets the wrong answer, >>>>>>>>>>>>>>>>>>>>>>>>>> but only one of them for each quesiton. >>>>>>>>>>>>>>>>>>>>>>>>>>

    They all gets the wrong answer on a whole class >>>>>>>>>>>>>>>>>>>>>>>>> of questions

    Wrong. You said. yourself. that H1 gets the >>>>>>>>>>>>>>>>>>>>>>>> right answer for D.


    Since it is a logical impossibility to determine >>>>>>>>>>>>>>>>>>>>>>> the truth
    value of a self-contradictory expression the >>>>>>>>>>>>>>>>>>>>>>> requirement
    for H to do this is bogus.

    Shows you are just a LIAR, as there IS a truth >>>>>>>>>>>>>>>>>>>>>> value to the expression that is the requirment for >>>>>>>>>>>>>>>>>>>>>> ANY SPECIFIC H.


    *Lying about me being a liar may possibly cost your >>>>>>>>>>>>>>>>>>>>> soul*
    *Lying about me being a liar may possibly cost your >>>>>>>>>>>>>>>>>>>>> soul*
    *Lying about me being a liar may possibly cost your >>>>>>>>>>>>>>>>>>>>> soul*

    There is no mapping from H(D,D) to Halts(D,D) that >>>>>>>>>>>>>>>>>>>>> exists.
    This proves that H(D,D) is being asked an incorrect >>>>>>>>>>>>>>>>>>>>> question.


    Why, because it is NOT a LIE.

    You don't even know the definiton of an incorrect >>>>>>>>>>>>>>>>>>>> question.

    I invented it so I get to stipulate its meaning. >>>>>>>>>>>>>>>>>>> https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term.


    Cite a source.


    The fact that there DOES exist a mapping Halt(M,d) >>>>>>>>>>>>>>>>>>>> that maps all Turing Machines and there input to a >>>>>>>>>>>>>>>>>>>> result of Halting / Non-Halting for EVERY member of >>>>>>>>>>>>>>>>>>>> that input set, means tha Halts is a valid mapping >>>>>>>>>>>>>>>>>>>> to ask a decider to try to decider.

    That part is true.
    Likewise when you ask a man that has never been married: >>>>>>>>>>>>>>>>>>> Have you stopped beating tour wife?
    There are some men that have stopped beating their wife. >>>>>>>>>>>>>>>>>>
    Right, because that question include a presumption of >>>>>>>>>>>>>>>>>> something not actually present.


    Although there is a mapping from some men to YES/NO >>>>>>>>>>>>>>>>> there is no mapping from never unmarried men to YES/NO >>>>>>>>>>>>>>>>> thus the question is incorrect for all unmarried men. >>>>>>>>>>>>>>>>>
    Although there is a mapping from some TM/input pairs to >>>>>>>>>>>>>>>>> YES/NO
    there is no mapping from H/D to YES/NO
    thus the question is incorrect for H/D



    Except that the mapping requested is about the INPUTS to >>>>>>>>>>>>>>>> H, not H itsef.


    In order to see that it is an incorrect question we must >>>>>>>>>>>>>>> examine
    the question in detail. Making sure to always ignore this >>>>>>>>>>>>>>> key detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩
    halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩
    does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) >>>>>>>>>>>>>>
    Which isn;t the question at all, so you are just shown to >>>>>>>>>>>>>> be a stupid liar.

    The QUESTION is:

    Does the machine and input described by this input, Halt >>>>>>>>>>>>>> when run?

    The question posed to Ĥ.H has no correct answer, thus not the >>>>>>>>>>>>> same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and make
    sure that
    you explain why this element is correct and don't try to switch >>>>>>>>>>> to any other element outside of the above specified set. >>>>>>>>>>>

    I didn't say there was.


    Then you understand that each question posed to each Ĥ.H in the >>>>>>>>> above set has no correct answer only because each of these answers >>>>>>>>> are contradicted by the machine that H is contained within.


    No, YOU don't understand that the IS a correct answer, just not >>>>>>>> the one that H (or H^.H ) happens to give.


    Then show me which contradicted answer is correct.



    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy and loops so qn >>>>>> was the right answer.
    *The strawman deception is all that you have*

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    *The answer must come from elements of the above set*

    Is a false claim about a strawman deception really the best you can
    say?


    The above are the program/input pairs such that every Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets the wrong answer only because whatever answer that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to the ACTUAL
    QUESTION needs to come from.

    You are just proving your stupidity and duplicity.

    Objective and Subjective Specifications https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's original
    question: Can anyone correctly answer “no” to this question?

    Carol can correctly answer that question with any word that is
    synonymous with "no".

    Here is the one where the loophole is closed:
    Can Carol correctly answer “no” to this [yes/no] question?

    The fact that anyone besides Carol can correctly answer that
    question with a NO and Carol cannot possibly correctly answer
    that question proves that it is a different question when posed
    to Carol than when posed to anyone else.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt

    Carol's question posed to Carol <is> isomorphic to input ⟨Ĥ⟩ ⟨Ĥ⟩
    to every Ĥ.H shown above. The fact that some other TM such as H1
    (that is not contradicted) can determine a correct answer proves
    that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question



    Strawman deception rejected. "Does Ĥ ⟨Ĥ⟩ halt?" is an objective question.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Sat Mar 16 03:58:04 2024
    XPost: sci.logic

    On 15/03/24 20:23, olcott wrote:
    On 3/15/2024 2:14 PM, Richard Damon wrote:
    On 3/15/24 12:00 PM, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said:

    On 3/14/2024 8:06 PM, Richard Damon wrote:
    On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote:
    On 3/14/24 3:04 PM, olcott wrote:
    On 3/14/2024 4:55 PM, Richard Damon wrote:
    On 3/14/24 1:59 PM, olcott wrote:
    On 3/14/2024 3:54 PM, Richard Damon wrote:
    On 3/14/24 1:26 PM, olcott wrote:
    On 3/14/2024 3:20 PM, Richard Damon wrote:
    On 3/14/24 12:32 PM, olcott wrote:
    On 3/14/2024 12:33 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>> On 3/13/24 4:04 PM, olcott wrote:
    On 3/13/2024 5:43 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 3/13/24 2:54 PM, olcott wrote:
    On 3/13/2024 4:39 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/13/24 1:52 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 12:52 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Not quite. It always gets the wrong answer, >>>>>>>>>>>>>>>>>>>>>>>>>>>> but only one of them for each quesiton. >>>>>>>>>>>>>>>>>>>>>>>>>>>>

    They all gets the wrong answer on a whole >>>>>>>>>>>>>>>>>>>>>>>>>>> class of questions

    Wrong. You said. yourself. that H1 gets the >>>>>>>>>>>>>>>>>>>>>>>>>> right answer for D.


    Since it is a logical impossibility to >>>>>>>>>>>>>>>>>>>>>>>>> determine the truth
    value of a self-contradictory expression the >>>>>>>>>>>>>>>>>>>>>>>>> requirement
    for H to do this is bogus.

    Shows you are just a LIAR, as there IS a truth >>>>>>>>>>>>>>>>>>>>>>>> value to the expression that is the requirment >>>>>>>>>>>>>>>>>>>>>>>> for ANY SPECIFIC H.


    *Lying about me being a liar may possibly cost >>>>>>>>>>>>>>>>>>>>>>> your soul*
    *Lying about me being a liar may possibly cost >>>>>>>>>>>>>>>>>>>>>>> your soul*
    *Lying about me being a liar may possibly cost >>>>>>>>>>>>>>>>>>>>>>> your soul*

    There is no mapping from H(D,D) to Halts(D,D) >>>>>>>>>>>>>>>>>>>>>>> that exists.
    This proves that H(D,D) is being asked an >>>>>>>>>>>>>>>>>>>>>>> incorrect question.


    Why, because it is NOT a LIE.

    You don't even know the definiton of an incorrect >>>>>>>>>>>>>>>>>>>>>> question.

    I invented it so I get to stipulate its meaning. >>>>>>>>>>>>>>>>>>>>> https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term.


    Cite a source.


    The fact that there DOES exist a mapping Halt(M,d) >>>>>>>>>>>>>>>>>>>>>> that maps all Turing Machines and there input to a >>>>>>>>>>>>>>>>>>>>>> result of Halting / Non-Halting for EVERY member >>>>>>>>>>>>>>>>>>>>>> of that input set, means tha Halts is a valid >>>>>>>>>>>>>>>>>>>>>> mapping to ask a decider to try to decider. >>>>>>>>>>>>>>>>>>>>>>
    That part is true.
    Likewise when you ask a man that has never been >>>>>>>>>>>>>>>>>>>>> married:
    Have you stopped beating tour wife?
    There are some men that have stopped beating their >>>>>>>>>>>>>>>>>>>>> wife.

    Right, because that question include a presumption >>>>>>>>>>>>>>>>>>>> of something not actually present.


    Although there is a mapping from some men to YES/NO >>>>>>>>>>>>>>>>>>> there is no mapping from never unmarried men to YES/NO >>>>>>>>>>>>>>>>>>> thus the question is incorrect for all unmarried men. >>>>>>>>>>>>>>>>>>>
    Although there is a mapping from some TM/input pairs >>>>>>>>>>>>>>>>>>> to YES/NO
    there is no mapping from H/D to YES/NO
    thus the question is incorrect for H/D



    Except that the mapping requested is about the INPUTS >>>>>>>>>>>>>>>>>> to H, not H itsef.


    In order to see that it is an incorrect question we >>>>>>>>>>>>>>>>> must examine
    the question in detail. Making sure to always ignore >>>>>>>>>>>>>>>>> this key detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to
    ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to
    ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) >>>>>>>>>>>>>>>>
    Which isn;t the question at all, so you are just shown >>>>>>>>>>>>>>>> to be a stupid liar.

    The QUESTION is:

    Does the machine and input described by this input, Halt >>>>>>>>>>>>>>>> when run?

    The question posed to Ĥ.H has no correct answer, thus not >>>>>>>>>>>>>>> the
    same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct and make
    sure that
    you explain why this element is correct and don't try to >>>>>>>>>>>>> switch
    to any other element outside of the above specified set. >>>>>>>>>>>>>

    I didn't say there was.


    Then you understand that each question posed to each Ĥ.H in the >>>>>>>>>>> above set has no correct answer only because each of these >>>>>>>>>>> answers
    are contradicted by the machine that H is contained within. >>>>>>>>>>>

    No, YOU don't understand that the IS a correct answer, just >>>>>>>>>> not the one that H (or H^.H ) happens to give.


    Then show me which contradicted answer is correct.



    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy and loops so >>>>>>>> qn was the right answer.
    *The strawman deception is all that you have*

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not
    halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    *The answer must come from elements of the above set*

    Is a false claim about a strawman deception really the best you
    can say?


    The above are the program/input pairs such that every Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets the wrong answer only because whatever answer that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to the ACTUAL
    QUESTION needs to come from.

    You are just proving your stupidity and duplicity.

    Objective and Subjective Specifications
    https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's original
    question: Can anyone correctly answer “no” to this question?

    Carol can correctly answer that question with any word that is
    synonymous with "no".

    Here is the one where the loophole is closed:
    Can Carol correctly answer “no” to this [yes/no] question?

    The fact that anyone besides Carol can correctly answer that
    question with a NO and Carol cannot possibly correctly answer
    that question proves that it is a different question when posed
    to Carol than when posed to anyone else.

    Which is IRRELEVENT to the Halting Question, as it is a purely
    objective question.

    The behavior of the input is INDEPENDENT of the decider looking at it.

    Note, a given H^ is built on a given H, and no other, but can be given
    to any decider to answer, and the correct answer will be the same
    irrespective of you ask. Some will give the right answer, and some
    will give the wrong answer. The fact that that H is in the latter
    doesn't make the question subjective.

    The only way to make the Halting Question subjective is to try to
    redefine it so the input changes with who you ask, but it doesn't.

    The changing H^ to match the H only happens in the Meta, where we
    prove that we can find an H^ that any H will get wrong, but each of
    those are SEPERATE Halting question (not all one question) and each of
    those seperate questions have a correct answer.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt

    Carol's question posed to Carol <is> isomorphic to input ⟨Ĥ⟩ ⟨Ĥ⟩ >>> to every Ĥ.H shown above. The fact that some other TM such as H1
    (that is not contradicted) can determine a correct answer proves
    that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question

    Nope.

    The Question doesn't refer to H at all.


    The input ⟨Ĥ⟩ ⟨Ĥ⟩ posed to Ĥ.H
    is isomorphic to this question posed to Carol:
    Can Carol correctly answer “no” to this [yes/no] question?

    wrong


    Thus changing the meaning of the question
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    *in the exact same way that the meaning of this question*

    Can Carol correctly answer “no” to this [yes/no] question?
    is changed when it is posed to Carol.


    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Sat Mar 16 04:15:26 2024
    XPost: sci.logic

    On 16/03/24 00:17, olcott wrote:
    On 3/15/2024 6:02 PM, Richard Damon wrote:
    On 3/15/24 3:47 PM, olcott wrote:
    On 3/15/2024 5:13 PM, Richard Damon wrote:
    On 3/15/24 1:42 PM, olcott wrote:
    On 3/15/2024 3:35 PM, Richard Damon wrote:
    On 3/15/24 12:50 PM, olcott wrote:
    On 3/15/2024 2:42 PM, Richard Damon wrote:
    On 3/15/24 12:23 PM, olcott wrote:
    On 3/15/2024 2:14 PM, Richard Damon wrote:
    On 3/15/24 12:00 PM, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said:

    On 3/14/2024 8:06 PM, Richard Damon wrote:
    On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote:
    On 3/14/24 3:04 PM, olcott wrote:
    On 3/14/2024 4:55 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 3/14/24 1:59 PM, olcott wrote:
    On 3/14/2024 3:54 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:26 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:20 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 12:32 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 12:33 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 4:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 5:43 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 2:54 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 4:39 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 1:52 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 12:52 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard Damon >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote:

    Not quite. It always gets the wrong >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> answer, but only one of them for >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> each quesiton. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    They all gets the wrong answer on a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> whole class of questions >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Wrong. You said. yourself. that H1 >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> gets the right answer for D. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Since it is a logical impossibility to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> determine the truth >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> value of a self-contradictory >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> expression the requirement >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> for H to do this is bogus. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Shows you are just a LIAR, as there IS a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> truth value to the expression that is >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> the requirment for ANY SPECIFIC H. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    *Lying about me being a liar may possibly >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> cost your soul*
    *Lying about me being a liar may possibly >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> cost your soul*
    *Lying about me being a liar may possibly >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> cost your soul*

    There is no mapping from H(D,D) to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halts(D,D) that exists. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> This proves that H(D,D) is being asked an >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Why, because it is NOT a LIE. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    You don't even know the definiton of an >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    I invented it so I get to stipulate its >>>>>>>>>>>>>>>>>>>>>>>>>>>>> meaning.
    https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term. >>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Cite a source.


    The fact that there DOES exist a mapping >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halt(M,d) that maps all Turing Machines >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> and there input to a result of Halting / >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Non-Halting for EVERY member of that input >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> set, means tha Halts is a valid mapping to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ask a decider to try to decider. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    That part is true.
    Likewise when you ask a man that has never >>>>>>>>>>>>>>>>>>>>>>>>>>>>> been married:
    Have you stopped beating tour wife? >>>>>>>>>>>>>>>>>>>>>>>>>>>>> There are some men that have stopped >>>>>>>>>>>>>>>>>>>>>>>>>>>>> beating their wife.

    Right, because that question include a >>>>>>>>>>>>>>>>>>>>>>>>>>>> presumption of something not actually present. >>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Although there is a mapping from some men to >>>>>>>>>>>>>>>>>>>>>>>>>>> YES/NO
    there is no mapping from never unmarried men >>>>>>>>>>>>>>>>>>>>>>>>>>> to YES/NO
    thus the question is incorrect for all >>>>>>>>>>>>>>>>>>>>>>>>>>> unmarried men.

    Although there is a mapping from some >>>>>>>>>>>>>>>>>>>>>>>>>>> TM/input pairs to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>> there is no mapping from H/D to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for H/D >>>>>>>>>>>>>>>>>>>>>>>>>>>


    Except that the mapping requested is about the >>>>>>>>>>>>>>>>>>>>>>>>>> INPUTS to H, not H itsef.


    In order to see that it is an incorrect >>>>>>>>>>>>>>>>>>>>>>>>> question we must examine
    the question in detail. Making sure to always >>>>>>>>>>>>>>>>>>>>>>>>> ignore this key detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ
    applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ
    applied to ⟨Ĥ⟩ does not halt >>>>>>>>>>>>>>>>>>>>>>>>> ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you are just >>>>>>>>>>>>>>>>>>>>>>>> shown to be a stupid liar.

    The QUESTION is:

    Does the machine and input described by this >>>>>>>>>>>>>>>>>>>>>>>> input, Halt when run?

    The question posed to Ĥ.H has no correct answer, >>>>>>>>>>>>>>>>>>>>>>> thus not the
    same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct
    and make sure that
    you explain why this element is correct and don't >>>>>>>>>>>>>>>>>>>>> try to switch
    to any other element outside of the above specified >>>>>>>>>>>>>>>>>>>>> set.


    I didn't say there was.


    Then you understand that each question posed to each >>>>>>>>>>>>>>>>>>> Ĥ.H in the
    above set has no correct answer only because each of >>>>>>>>>>>>>>>>>>> these answers
    are contradicted by the machine that H is contained >>>>>>>>>>>>>>>>>>> within.


    No, YOU don't understand that the IS a correct answer, >>>>>>>>>>>>>>>>>> just not the one that H (or H^.H ) happens to give. >>>>>>>>>>>>>>>>>>

    Then show me which contradicted answer is correct. >>>>>>>>>>>>>>>>>


    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy and >>>>>>>>>>>>>>>> loops so qn was the right answer.
    *The strawman deception is all that you have*

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩
    halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩
    does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) >>>>>>>>>>>>>>>
    *The answer must come from elements of the above set* >>>>>>>>>>>>>>
    Is a false claim about a strawman deception really the >>>>>>>>>>>>>> best you can say?


    The above are the program/input pairs such that every Ĥ.H >>>>>>>>>>>>> ⟨Ĥ⟩ ⟨Ĥ⟩
    gets the wrong answer only because whatever answer that Ĥ.H >>>>>>>>>>>>> ⟨Ĥ⟩ ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to the >>>>>>>>>>>> ACTUAL QUESTION needs to come from.

    You are just proving your stupidity and duplicity.

    Objective and Subjective Specifications
    https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's original >>>>>>>>>>> question: Can anyone correctly answer “no” to this question? >>>>>>>>>>>
    Carol can correctly answer that question with any word that is >>>>>>>>>>> synonymous with "no".

    Here is the one where the loophole is closed:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>>
    The fact that anyone besides Carol can correctly answer that >>>>>>>>>>> question with a NO and Carol cannot possibly correctly answer >>>>>>>>>>> that question proves that it is a different question when posed >>>>>>>>>>> to Carol than when posed to anyone else.

    Which is IRRELEVENT to the Halting Question, as it is a purely >>>>>>>>>> objective question.

    The behavior of the input is INDEPENDENT of the decider
    looking at it.

    Note, a given H^ is built on a given H, and no other, but can >>>>>>>>>> be given to any decider to answer, and the correct answer will >>>>>>>>>> be the same irrespective of you ask. Some will give the right >>>>>>>>>> answer, and some will give the wrong answer. The fact that >>>>>>>>>> that H is in the latter doesn't make the question subjective. >>>>>>>>>>
    The only way to make the Halting Question subjective is to try >>>>>>>>>> to redefine it so the input changes with who you ask, but it >>>>>>>>>> doesn't.

    The changing H^ to match the H only happens in the Meta, where >>>>>>>>>> we prove that we can find an H^ that any H will get wrong, but >>>>>>>>>> each of those are SEPERATE Halting question (not all one
    question) and each of those seperate questions have a correct >>>>>>>>>> answer.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does
    not halt

    Carol's question posed to Carol <is> isomorphic to input ⟨Ĥ⟩ ⟨Ĥ⟩
    to every Ĥ.H shown above. The fact that some other TM such as H1 >>>>>>>>>>> (that is not contradicted) can determine a correct answer proves >>>>>>>>>>> that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question

    Nope.

    The Question doesn't refer to H at all.


    The input ⟨Ĥ⟩ ⟨Ĥ⟩ posed to Ĥ.H
    is isomorphic to this question posed to Carol:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>
    Nope. and that LIE is a source of a lot of your ERRORS.

    Carol is a volitional being.

    When we hypothesize that Carol is the name of an AI machine
    everything remains the same.

    Nope.

    Once Carol become deterministic, then the whole thing changes.


    The only reason that:
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    cannot be correctly answered is that the specific Ĥ.H is contradicted. >>>>>
    The only reason that:
    Can Carol correctly answer “no” to this [yes/no] question? posed to >>>>> Carol
    cannot be correctly answered is that the specific Carol is
    contradicted.


    Nope.

    You aren't showing any ERRORS I made but just asserting your FALSE
    claims again.

    Inability to show WHY my description was wrong just proves you have
    no basis.


    You are just demonstrating that you don't understand how logic works.

    It seems you think this is just some abstract philosophy where
    anything goes and rhetoric rules.


    *You have provided zero correct reasoning of how*
    *Carol's question posed to Carol*
    *is not contradicted just like*
    *Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H is contradicted*


    Yes, I have.

    YOU have provided ZERO reasoning how they are.

    Dos H^ (H^) Halt? even when posed to H^.H has an answer!


    When posed to each entity (Carol/Ĥ.H)
    their respective question (a)/(b):
    (a) Carol correctly answer “no” to this [yes/no] question?
    (b) Does Ĥ ⟨Ĥ⟩ halt?
    lacks a correct answer because this answer is contradicted.

    (b) has a correct answer, which is "yes"


    *Incorrect questions do not lack answers they lack correct answers*
    Carol could answer by flipping the bird.


    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Sat Mar 16 05:24:23 2024
    XPost: sci.logic

    On 16/03/24 04:52, olcott wrote:
    On 3/15/2024 10:15 PM, immibis wrote:
    On 16/03/24 00:17, olcott wrote:
    On 3/15/2024 6:02 PM, Richard Damon wrote:
    On 3/15/24 3:47 PM, olcott wrote:
    On 3/15/2024 5:13 PM, Richard Damon wrote:
    On 3/15/24 1:42 PM, olcott wrote:
    On 3/15/2024 3:35 PM, Richard Damon wrote:
    On 3/15/24 12:50 PM, olcott wrote:
    On 3/15/2024 2:42 PM, Richard Damon wrote:
    On 3/15/24 12:23 PM, olcott wrote:
    On 3/15/2024 2:14 PM, Richard Damon wrote:
    On 3/15/24 12:00 PM, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said:

    On 3/14/2024 8:06 PM, Richard Damon wrote:
    On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 3/14/24 3:04 PM, olcott wrote:
    On 3/14/2024 4:55 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:59 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:54 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:26 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:20 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 12:32 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 12:33 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 4:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 5:43 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 2:54 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 4:39 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 1:52 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 12:52 PM, Richard Damon >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote:
    On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Not quite. It always gets the >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrong answer, but only one of them >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> for each quesiton. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    They all gets the wrong answer on a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> whole class of questions >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Wrong. You said. yourself. that H1 >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> gets the right answer for D. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Since it is a logical impossibility >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> to determine the truth >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> value of a self-contradictory >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> expression the requirement >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> for H to do this is bogus. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Shows you are just a LIAR, as there IS >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> a truth value to the expression that >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> is the requirment for ANY SPECIFIC H. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    There is no mapping from H(D,D) to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halts(D,D) that exists. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> This proves that H(D,D) is being asked >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> an incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Why, because it is NOT a LIE. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    You don't even know the definiton of an >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    I invented it so I get to stipulate its >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> meaning.
    https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Cite a source.


    The fact that there DOES exist a mapping >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halt(M,d) that maps all Turing Machines >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> and there input to a result of Halting / >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Non-Halting for EVERY member of that >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> input set, means tha Halts is a valid >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> mapping to ask a decider to try to decider. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    That part is true. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Likewise when you ask a man that has >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> never been married: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Have you stopped beating tour wife? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> There are some men that have stopped >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> beating their wife. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Right, because that question include a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> presumption of something not actually >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> present.


    Although there is a mapping from some men >>>>>>>>>>>>>>>>>>>>>>>>>>>>> to YES/NO
    there is no mapping from never unmarried >>>>>>>>>>>>>>>>>>>>>>>>>>>>> men to YES/NO
    thus the question is incorrect for all >>>>>>>>>>>>>>>>>>>>>>>>>>>>> unmarried men.

    Although there is a mapping from some >>>>>>>>>>>>>>>>>>>>>>>>>>>>> TM/input pairs to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>> there is no mapping from H/D to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for H/D >>>>>>>>>>>>>>>>>>>>>>>>>>>>>


    Except that the mapping requested is about >>>>>>>>>>>>>>>>>>>>>>>>>>>> the INPUTS to H, not H itsef. >>>>>>>>>>>>>>>>>>>>>>>>>>>>

    In order to see that it is an incorrect >>>>>>>>>>>>>>>>>>>>>>>>>>> question we must examine >>>>>>>>>>>>>>>>>>>>>>>>>>> the question in detail. Making sure to always >>>>>>>>>>>>>>>>>>>>>>>>>>> ignore this key detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ
    applied to ⟨Ĥ⟩ halts >>>>>>>>>>>>>>>>>>>>>>>>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ
    applied to ⟨Ĥ⟩ does not halt >>>>>>>>>>>>>>>>>>>>>>>>>>> ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you are >>>>>>>>>>>>>>>>>>>>>>>>>> just shown to be a stupid liar. >>>>>>>>>>>>>>>>>>>>>>>>>>
    The QUESTION is:

    Does the machine and input described by this >>>>>>>>>>>>>>>>>>>>>>>>>> input, Halt when run?

    The question posed to Ĥ.H has no correct >>>>>>>>>>>>>>>>>>>>>>>>> answer, thus not the
    same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct
    and make sure that
    you explain why this element is correct and don't >>>>>>>>>>>>>>>>>>>>>>> try to switch
    to any other element outside of the above >>>>>>>>>>>>>>>>>>>>>>> specified set.


    I didn't say there was.


    Then you understand that each question posed to >>>>>>>>>>>>>>>>>>>>> each Ĥ.H in the
    above set has no correct answer only because each >>>>>>>>>>>>>>>>>>>>> of these answers
    are contradicted by the machine that H is contained >>>>>>>>>>>>>>>>>>>>> within.


    No, YOU don't understand that the IS a correct >>>>>>>>>>>>>>>>>>>> answer, just not the one that H (or H^.H ) happens >>>>>>>>>>>>>>>>>>>> to give.


    Then show me which contradicted answer is correct. >>>>>>>>>>>>>>>>>>>


    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy and >>>>>>>>>>>>>>>>>> loops so qn was the right answer.
    *The strawman deception is all that you have* >>>>>>>>>>>>>>>>>
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to
    ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to
    ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) >>>>>>>>>>>>>>>>>
    *The answer must come from elements of the above set* >>>>>>>>>>>>>>>>
    Is a false claim about a strawman deception really the >>>>>>>>>>>>>>>> best you can say?


    The above are the program/input pairs such that every Ĥ.H >>>>>>>>>>>>>>> ⟨Ĥ⟩ ⟨Ĥ⟩
    gets the wrong answer only because whatever answer that >>>>>>>>>>>>>>> Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to the >>>>>>>>>>>>>> ACTUAL QUESTION needs to come from.

    You are just proving your stupidity and duplicity.

    Objective and Subjective Specifications
    https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's >>>>>>>>>>>>> original
    question: Can anyone correctly answer “no” to this question? >>>>>>>>>>>>>
    Carol can correctly answer that question with any word that is >>>>>>>>>>>>> synonymous with "no".

    Here is the one where the loophole is closed:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>>>>
    The fact that anyone besides Carol can correctly answer that >>>>>>>>>>>>> question with a NO and Carol cannot possibly correctly answer >>>>>>>>>>>>> that question proves that it is a different question when >>>>>>>>>>>>> posed
    to Carol than when posed to anyone else.

    Which is IRRELEVENT to the Halting Question, as it is a >>>>>>>>>>>> purely objective question.

    The behavior of the input is INDEPENDENT of the decider >>>>>>>>>>>> looking at it.

    Note, a given H^ is built on a given H, and no other, but >>>>>>>>>>>> can be given to any decider to answer, and the correct >>>>>>>>>>>> answer will be the same irrespective of you ask. Some will >>>>>>>>>>>> give the right answer, and some will give the wrong answer. >>>>>>>>>>>> The fact that that H is in the latter doesn't make the >>>>>>>>>>>> question subjective.

    The only way to make the Halting Question subjective is to >>>>>>>>>>>> try to redefine it so the input changes with who you ask, >>>>>>>>>>>> but it doesn't.

    The changing H^ to match the H only happens in the Meta, >>>>>>>>>>>> where we prove that we can find an H^ that any H will get >>>>>>>>>>>> wrong, but each of those are SEPERATE Halting question (not >>>>>>>>>>>> all one question) and each of those seperate questions have >>>>>>>>>>>> a correct answer.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩
    does not halt

    Carol's question posed to Carol <is> isomorphic to input >>>>>>>>>>>>> ⟨Ĥ⟩ ⟨Ĥ⟩
    to every Ĥ.H shown above. The fact that some other TM such >>>>>>>>>>>>> as H1
    (that is not contradicted) can determine a correct answer >>>>>>>>>>>>> proves
    that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question

    Nope.

    The Question doesn't refer to H at all.


    The input ⟨Ĥ⟩ ⟨Ĥ⟩ posed to Ĥ.H
    is isomorphic to this question posed to Carol:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>
    Nope. and that LIE is a source of a lot of your ERRORS.

    Carol is a volitional being.

    When we hypothesize that Carol is the name of an AI machine
    everything remains the same.

    Nope.

    Once Carol become deterministic, then the whole thing changes. >>>>>>>>

    The only reason that:
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    cannot be correctly answered is that the specific Ĥ.H is
    contradicted.

    The only reason that:
    Can Carol correctly answer “no” to this [yes/no] question? posed >>>>>>> to Carol
    cannot be correctly answered is that the specific Carol is
    contradicted.


    Nope.

    You aren't showing any ERRORS I made but just asserting your FALSE >>>>>> claims again.

    Inability to show WHY my description was wrong just proves you
    have no basis.


    You are just demonstrating that you don't understand how logic works. >>>>>>
    It seems you think this is just some abstract philosophy where
    anything goes and rhetoric rules.


    *You have provided zero correct reasoning of how*
    *Carol's question posed to Carol*
    *is not contradicted just like*
    *Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H is contradicted*


    Yes, I have.

    YOU have provided ZERO reasoning how they are.

    Dos H^ (H^) Halt? even when posed to H^.H has an answer!


    When posed to each entity (Carol/Ĥ.H)
    their respective question (a)/(b):
    (a) Carol correctly answer “no” to this [yes/no] question?
    (b) Does Ĥ ⟨Ĥ⟩ halt?
    lacks a correct answer because this answer is contradicted.

    (b) has a correct answer, which is "yes"


    When Ĥ gives that answer it is contradicted by Ĥ,
    thus it is the wrong answer.

    What does "When Ĥ gives that answer" mean? Ĥ is a program which can only
    do what it is programmed, and it is programmed to answer "no" even
    though the correct answer is "yes".

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Sat Mar 16 08:37:12 2024
    XPost: sci.logic

    On 3/15/24 10:21 PM, olcott wrote:
    On 3/15/2024 11:24 PM, immibis wrote:
    On 16/03/24 04:52, olcott wrote:
    On 3/15/2024 10:15 PM, immibis wrote:
    On 16/03/24 00:17, olcott wrote:
    On 3/15/2024 6:02 PM, Richard Damon wrote:
    On 3/15/24 3:47 PM, olcott wrote:
    On 3/15/2024 5:13 PM, Richard Damon wrote:
    On 3/15/24 1:42 PM, olcott wrote:
    On 3/15/2024 3:35 PM, Richard Damon wrote:
    On 3/15/24 12:50 PM, olcott wrote:
    On 3/15/2024 2:42 PM, Richard Damon wrote:
    On 3/15/24 12:23 PM, olcott wrote:
    On 3/15/2024 2:14 PM, Richard Damon wrote:
    On 3/15/24 12:00 PM, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said: >>>>>>>>>>>>>>>>>>
    On 3/14/2024 8:06 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/14/24 3:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 4:55 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:59 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:54 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:26 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:20 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 12:32 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 12:33 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 4:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 5:43 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 2:54 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 4:39 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 1:52 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 12:52 PM, Richard Damon >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote:
    On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Not quite. It always gets the >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrong answer, but only one of >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> them for each quesiton. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    They all gets the wrong answer on >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> a whole class of questions >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Wrong. You said. yourself. that H1 >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> gets the right answer for D. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Since it is a logical impossibility >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> to determine the truth >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> value of a self-contradictory >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> expression the requirement >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> for H to do this is bogus. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Shows you are just a LIAR, as there >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> IS a truth value to the expression >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> that is the requirment for ANY >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> SPECIFIC H. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    There is no mapping from H(D,D) to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halts(D,D) that exists. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> This proves that H(D,D) is being >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> asked an incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Why, because it is NOT a LIE. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    You don't even know the definiton of >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> an incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    I invented it so I get to stipulate its >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> meaning.
    https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Cite a source.


    The fact that there DOES exist a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> mapping Halt(M,d) that maps all Turing >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Machines and there input to a result >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> of Halting / Non-Halting for EVERY >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> member of that input set, means tha >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halts is a valid mapping to ask a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> decider to try to decider. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    That part is true. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Likewise when you ask a man that has >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> never been married: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Have you stopped beating tour wife? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> There are some men that have stopped >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> beating their wife. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Right, because that question include a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> presumption of something not actually >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> present.


    Although there is a mapping from some men >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> to YES/NO
    there is no mapping from never unmarried >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> men to YES/NO
    thus the question is incorrect for all >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> unmarried men.

    Although there is a mapping from some >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> TM/input pairs to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> there is no mapping from H/D to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for H/D >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>


    Except that the mapping requested is about >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> the INPUTS to H, not H itsef. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    In order to see that it is an incorrect >>>>>>>>>>>>>>>>>>>>>>>>>>>>> question we must examine >>>>>>>>>>>>>>>>>>>>>>>>>>>>> the question in detail. Making sure to >>>>>>>>>>>>>>>>>>>>>>>>>>>>> always ignore this key detail >>>>>>>>>>>>>>>>>>>>>>>>>>>>> <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ
    applied to ⟨Ĥ⟩ halts >>>>>>>>>>>>>>>>>>>>>>>>>>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ
    applied to ⟨Ĥ⟩ does not halt >>>>>>>>>>>>>>>>>>>>>>>>>>>>> ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you are >>>>>>>>>>>>>>>>>>>>>>>>>>>> just shown to be a stupid liar. >>>>>>>>>>>>>>>>>>>>>>>>>>>>
    The QUESTION is:

    Does the machine and input described by this >>>>>>>>>>>>>>>>>>>>>>>>>>>> input, Halt when run?

    The question posed to Ĥ.H has no correct >>>>>>>>>>>>>>>>>>>>>>>>>>> answer, thus not the
    same question at all.

    But it DOES.

    Then tell me which element of: >>>>>>>>>>>>>>>>>>>>>>>>> ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is
    correct and make sure that
    you explain why this element is correct and >>>>>>>>>>>>>>>>>>>>>>>>> don't try to switch
    to any other element outside of the above >>>>>>>>>>>>>>>>>>>>>>>>> specified set.


    I didn't say there was.


    Then you understand that each question posed to >>>>>>>>>>>>>>>>>>>>>>> each Ĥ.H in the
    above set has no correct answer only because each >>>>>>>>>>>>>>>>>>>>>>> of these answers
    are contradicted by the machine that H is >>>>>>>>>>>>>>>>>>>>>>> contained within.


    No, YOU don't understand that the IS a correct >>>>>>>>>>>>>>>>>>>>>> answer, just not the one that H (or H^.H ) happens >>>>>>>>>>>>>>>>>>>>>> to give.


    Then show me which contradicted answer is correct. >>>>>>>>>>>>>>>>>>>>>


    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy >>>>>>>>>>>>>>>>>>>> and loops so qn was the right answer.
    *The strawman deception is all that you have* >>>>>>>>>>>>>>>>>>>
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to
    ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to
    ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    *The answer must come from elements of the above set* >>>>>>>>>>>>>>>>>>
    Is a false claim about a strawman deception really the >>>>>>>>>>>>>>>>>> best you can say?


    The above are the program/input pairs such that every >>>>>>>>>>>>>>>>> Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets the wrong answer only because whatever answer that >>>>>>>>>>>>>>>>> Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to >>>>>>>>>>>>>>>> the ACTUAL QUESTION needs to come from.

    You are just proving your stupidity and duplicity. >>>>>>>>>>>>>>>
    Objective and Subjective Specifications
    https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's >>>>>>>>>>>>>>> original
    question: Can anyone correctly answer “no” to this question?

    Carol can correctly answer that question with any word >>>>>>>>>>>>>>> that is
    synonymous with "no".

    Here is the one where the loophole is closed:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>>>>>>
    The fact that anyone besides Carol can correctly answer that >>>>>>>>>>>>>>> question with a NO and Carol cannot possibly correctly >>>>>>>>>>>>>>> answer
    that question proves that it is a different question when >>>>>>>>>>>>>>> posed
    to Carol than when posed to anyone else.

    Which is IRRELEVENT to the Halting Question, as it is a >>>>>>>>>>>>>> purely objective question.

    The behavior of the input is INDEPENDENT of the decider >>>>>>>>>>>>>> looking at it.

    Note, a given H^ is built on a given H, and no other, but >>>>>>>>>>>>>> can be given to any decider to answer, and the correct >>>>>>>>>>>>>> answer will be the same irrespective of you ask. Some will >>>>>>>>>>>>>> give the right answer, and some will give the wrong >>>>>>>>>>>>>> answer. The fact that that H is in the latter doesn't make >>>>>>>>>>>>>> the question subjective.

    The only way to make the Halting Question subjective is to >>>>>>>>>>>>>> try to redefine it so the input changes with who you ask, >>>>>>>>>>>>>> but it doesn't.

    The changing H^ to match the H only happens in the Meta, >>>>>>>>>>>>>> where we prove that we can find an H^ that any H will get >>>>>>>>>>>>>> wrong, but each of those are SEPERATE Halting question >>>>>>>>>>>>>> (not all one question) and each of those seperate
    questions have a correct answer.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩
    halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩
    does not halt

    Carol's question posed to Carol <is> isomorphic to input >>>>>>>>>>>>>>> ⟨Ĥ⟩ ⟨Ĥ⟩
    to every Ĥ.H shown above. The fact that some other TM >>>>>>>>>>>>>>> such as H1
    (that is not contradicted) can determine a correct answer >>>>>>>>>>>>>>> proves
    that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question >>>>>>>>>>>>>>>
    Nope.

    The Question doesn't refer to H at all.


    The input ⟨Ĥ⟩ ⟨Ĥ⟩ posed to Ĥ.H
    is isomorphic to this question posed to Carol:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>>>
    Nope. and that LIE is a source of a lot of your ERRORS. >>>>>>>>>>>>
    Carol is a volitional being.

    When we hypothesize that Carol is the name of an AI machine >>>>>>>>>>> everything remains the same.

    Nope.

    Once Carol become deterministic, then the whole thing changes. >>>>>>>>>>

    The only reason that:
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    cannot be correctly answered is that the specific Ĥ.H is
    contradicted.

    The only reason that:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>> posed to Carol
    cannot be correctly answered is that the specific Carol is
    contradicted.


    Nope.

    You aren't showing any ERRORS I made but just asserting your
    FALSE claims again.

    Inability to show WHY my description was wrong just proves you >>>>>>>> have no basis.


    You are just demonstrating that you don't understand how logic >>>>>>>> works.

    It seems you think this is just some abstract philosophy where >>>>>>>> anything goes and rhetoric rules.


    *You have provided zero correct reasoning of how*
    *Carol's question posed to Carol*
    *is not contradicted just like*
    *Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H is contradicted*


    Yes, I have.

    YOU have provided ZERO reasoning how they are.

    Dos H^ (H^) Halt? even when posed to H^.H has an answer!


    When posed to each entity (Carol/Ĥ.H)
    their respective question (a)/(b):
    (a) Carol correctly answer “no” to this [yes/no] question?
    (b) Does Ĥ  halt?
    lacks a correct answer because this answer is contradicted.

    (b) has a correct answer, which is "yes"


    When Ĥ gives that answer it is contradicted by Ĥ,
    thus it is the wrong answer.

    What does "When Ĥ gives that answer" mean?
    The possible answers that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ gives are:
    (a) Ĥ.Hqy then loop  (always does the opposite of what it says).
    (b) Ĥ.Hqn then halt  (always does the opposite of what it says).

    Ĥ is a program which can only do what it is programmed, and it is
    programmed to answer "no" even though the correct answer is "yes".



    Nut (a) isn't AN ANSWER, as it isn't given to any machine that uses it.

    You don't seem to understand what answer is.

    And, H^ is not defined to apply any semantic to its return, so you can't
    assume any.

    H is defined to give an answer, but all H's will give the wrong answer
    for the H^ built from it.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Sat Mar 16 17:33:48 2024
    XPost: sci.logic

    On 16/03/24 06:21, olcott wrote:
    On 3/15/2024 11:24 PM, immibis wrote:
    On 16/03/24 04:52, olcott wrote:
    On 3/15/2024 10:15 PM, immibis wrote:
    On 16/03/24 00:17, olcott wrote:
    On 3/15/2024 6:02 PM, Richard Damon wrote:
    On 3/15/24 3:47 PM, olcott wrote:
    On 3/15/2024 5:13 PM, Richard Damon wrote:
    On 3/15/24 1:42 PM, olcott wrote:
    On 3/15/2024 3:35 PM, Richard Damon wrote:
    On 3/15/24 12:50 PM, olcott wrote:
    On 3/15/2024 2:42 PM, Richard Damon wrote:
    On 3/15/24 12:23 PM, olcott wrote:
    On 3/15/2024 2:14 PM, Richard Damon wrote:
    On 3/15/24 12:00 PM, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said: >>>>>>>>>>>>>>>>>>
    On 3/14/2024 8:06 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/14/24 3:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 4:55 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:59 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:54 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:26 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:20 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 12:32 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 12:33 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 4:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 5:43 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 2:54 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 4:39 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 1:52 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 12:52 PM, Richard Damon >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote:
    On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Not quite. It always gets the >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrong answer, but only one of >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> them for each quesiton. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    They all gets the wrong answer on >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> a whole class of questions >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Wrong. You said. yourself. that H1 >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> gets the right answer for D. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Since it is a logical impossibility >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> to determine the truth >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> value of a self-contradictory >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> expression the requirement >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> for H to do this is bogus. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Shows you are just a LIAR, as there >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> IS a truth value to the expression >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> that is the requirment for ANY >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> SPECIFIC H. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    There is no mapping from H(D,D) to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halts(D,D) that exists. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> This proves that H(D,D) is being >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> asked an incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Why, because it is NOT a LIE. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    You don't even know the definiton of >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> an incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    I invented it so I get to stipulate its >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> meaning.
    https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Cite a source.


    The fact that there DOES exist a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> mapping Halt(M,d) that maps all Turing >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Machines and there input to a result >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> of Halting / Non-Halting for EVERY >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> member of that input set, means tha >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halts is a valid mapping to ask a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> decider to try to decider. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    That part is true. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Likewise when you ask a man that has >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> never been married: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Have you stopped beating tour wife? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> There are some men that have stopped >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> beating their wife. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Right, because that question include a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> presumption of something not actually >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> present.


    Although there is a mapping from some men >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> to YES/NO
    there is no mapping from never unmarried >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> men to YES/NO
    thus the question is incorrect for all >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> unmarried men.

    Although there is a mapping from some >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> TM/input pairs to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> there is no mapping from H/D to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for H/D >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>


    Except that the mapping requested is about >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> the INPUTS to H, not H itsef. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    In order to see that it is an incorrect >>>>>>>>>>>>>>>>>>>>>>>>>>>>> question we must examine >>>>>>>>>>>>>>>>>>>>>>>>>>>>> the question in detail. Making sure to >>>>>>>>>>>>>>>>>>>>>>>>>>>>> always ignore this key detail >>>>>>>>>>>>>>>>>>>>>>>>>>>>> <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ
    applied to ⟨Ĥ⟩ halts >>>>>>>>>>>>>>>>>>>>>>>>>>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ
    applied to ⟨Ĥ⟩ does not halt >>>>>>>>>>>>>>>>>>>>>>>>>>>>> ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you are >>>>>>>>>>>>>>>>>>>>>>>>>>>> just shown to be a stupid liar. >>>>>>>>>>>>>>>>>>>>>>>>>>>>
    The QUESTION is:

    Does the machine and input described by this >>>>>>>>>>>>>>>>>>>>>>>>>>>> input, Halt when run?

    The question posed to Ĥ.H has no correct >>>>>>>>>>>>>>>>>>>>>>>>>>> answer, thus not the
    same question at all.

    But it DOES.

    Then tell me which element of: >>>>>>>>>>>>>>>>>>>>>>>>> ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is
    correct and make sure that
    you explain why this element is correct and >>>>>>>>>>>>>>>>>>>>>>>>> don't try to switch
    to any other element outside of the above >>>>>>>>>>>>>>>>>>>>>>>>> specified set.


    I didn't say there was.


    Then you understand that each question posed to >>>>>>>>>>>>>>>>>>>>>>> each Ĥ.H in the
    above set has no correct answer only because each >>>>>>>>>>>>>>>>>>>>>>> of these answers
    are contradicted by the machine that H is >>>>>>>>>>>>>>>>>>>>>>> contained within.


    No, YOU don't understand that the IS a correct >>>>>>>>>>>>>>>>>>>>>> answer, just not the one that H (or H^.H ) happens >>>>>>>>>>>>>>>>>>>>>> to give.


    Then show me which contradicted answer is correct. >>>>>>>>>>>>>>>>>>>>>


    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy >>>>>>>>>>>>>>>>>>>> and loops so qn was the right answer.
    *The strawman deception is all that you have* >>>>>>>>>>>>>>>>>>>
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to
    ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to
    ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    *The answer must come from elements of the above set* >>>>>>>>>>>>>>>>>>
    Is a false claim about a strawman deception really the >>>>>>>>>>>>>>>>>> best you can say?


    The above are the program/input pairs such that every >>>>>>>>>>>>>>>>> Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets the wrong answer only because whatever answer that >>>>>>>>>>>>>>>>> Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to >>>>>>>>>>>>>>>> the ACTUAL QUESTION needs to come from.

    You are just proving your stupidity and duplicity. >>>>>>>>>>>>>>>
    Objective and Subjective Specifications
    https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's >>>>>>>>>>>>>>> original
    question: Can anyone correctly answer “no” to this question?

    Carol can correctly answer that question with any word >>>>>>>>>>>>>>> that is
    synonymous with "no".

    Here is the one where the loophole is closed:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>>>>>>
    The fact that anyone besides Carol can correctly answer that >>>>>>>>>>>>>>> question with a NO and Carol cannot possibly correctly >>>>>>>>>>>>>>> answer
    that question proves that it is a different question when >>>>>>>>>>>>>>> posed
    to Carol than when posed to anyone else.

    Which is IRRELEVENT to the Halting Question, as it is a >>>>>>>>>>>>>> purely objective question.

    The behavior of the input is INDEPENDENT of the decider >>>>>>>>>>>>>> looking at it.

    Note, a given H^ is built on a given H, and no other, but >>>>>>>>>>>>>> can be given to any decider to answer, and the correct >>>>>>>>>>>>>> answer will be the same irrespective of you ask. Some will >>>>>>>>>>>>>> give the right answer, and some will give the wrong >>>>>>>>>>>>>> answer. The fact that that H is in the latter doesn't make >>>>>>>>>>>>>> the question subjective.

    The only way to make the Halting Question subjective is to >>>>>>>>>>>>>> try to redefine it so the input changes with who you ask, >>>>>>>>>>>>>> but it doesn't.

    The changing H^ to match the H only happens in the Meta, >>>>>>>>>>>>>> where we prove that we can find an H^ that any H will get >>>>>>>>>>>>>> wrong, but each of those are SEPERATE Halting question >>>>>>>>>>>>>> (not all one question) and each of those seperate
    questions have a correct answer.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩
    halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩
    does not halt

    Carol's question posed to Carol <is> isomorphic to input >>>>>>>>>>>>>>> ⟨Ĥ⟩ ⟨Ĥ⟩
    to every Ĥ.H shown above. The fact that some other TM >>>>>>>>>>>>>>> such as H1
    (that is not contradicted) can determine a correct answer >>>>>>>>>>>>>>> proves
    that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question >>>>>>>>>>>>>>>
    Nope.

    The Question doesn't refer to H at all.


    The input ⟨Ĥ⟩ ⟨Ĥ⟩ posed to Ĥ.H
    is isomorphic to this question posed to Carol:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>>>
    Nope. and that LIE is a source of a lot of your ERRORS. >>>>>>>>>>>>
    Carol is a volitional being.

    When we hypothesize that Carol is the name of an AI machine >>>>>>>>>>> everything remains the same.

    Nope.

    Once Carol become deterministic, then the whole thing changes. >>>>>>>>>>

    The only reason that:
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    cannot be correctly answered is that the specific Ĥ.H is
    contradicted.

    The only reason that:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>> posed to Carol
    cannot be correctly answered is that the specific Carol is
    contradicted.


    Nope.

    You aren't showing any ERRORS I made but just asserting your
    FALSE claims again.

    Inability to show WHY my description was wrong just proves you >>>>>>>> have no basis.


    You are just demonstrating that you don't understand how logic >>>>>>>> works.

    It seems you think this is just some abstract philosophy where >>>>>>>> anything goes and rhetoric rules.


    *You have provided zero correct reasoning of how*
    *Carol's question posed to Carol*
    *is not contradicted just like*
    *Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H is contradicted*


    Yes, I have.

    YOU have provided ZERO reasoning how they are.

    Dos H^ (H^) Halt? even when posed to H^.H has an answer!


    When posed to each entity (Carol/Ĥ.H)
    their respective question (a)/(b):
    (a) Carol correctly answer “no” to this [yes/no] question?
    (b) Does Ĥ  halt?
    lacks a correct answer because this answer is contradicted.

    (b) has a correct answer, which is "yes"


    When Ĥ gives that answer it is contradicted by Ĥ,
    thus it is the wrong answer.

    What does "When Ĥ gives that answer" mean?
    The possible answers that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ gives are:
    (a) Ĥ.Hqy then loop  (always does the opposite of what it says).
    (b) Ĥ.Hqn then halt  (always does the opposite of what it says).

    No, only one answer is possible, which is the one that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is
    programmed to give.


    Ĥ is a program which can only do what it is programmed, and it is
    programmed to answer "no" even though the correct answer is "yes".



    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Sat Mar 16 18:01:16 2024
    XPost: sci.logic

    On 16/03/24 17:40, olcott wrote:
    On 3/16/2024 11:33 AM, immibis wrote:
    On 16/03/24 06:21, olcott wrote:
    On 3/15/2024 11:24 PM, immibis wrote:
    On 16/03/24 04:52, olcott wrote:
    On 3/15/2024 10:15 PM, immibis wrote:
    On 16/03/24 00:17, olcott wrote:
    On 3/15/2024 6:02 PM, Richard Damon wrote:
    On 3/15/24 3:47 PM, olcott wrote:
    On 3/15/2024 5:13 PM, Richard Damon wrote:
    On 3/15/24 1:42 PM, olcott wrote:
    On 3/15/2024 3:35 PM, Richard Damon wrote:
    On 3/15/24 12:50 PM, olcott wrote:
    On 3/15/2024 2:42 PM, Richard Damon wrote:
    On 3/15/24 12:23 PM, olcott wrote:
    On 3/15/2024 2:14 PM, Richard Damon wrote:
    On 3/15/24 12:00 PM, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said: >>>>>>>>>>>>>>>>>>>>
    On 3/14/2024 8:06 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/14/24 4:45 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 5:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 3:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 4:55 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:59 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:54 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:26 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:20 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 12:32 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 12:33 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 4:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 5:43 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 2:54 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 4:39 PM, Richard Damon >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote:
    On 3/13/24 1:52 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 12:52 PM, Richard >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Not quite. It always gets the >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrong answer, but only one of >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> them for each quesiton. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> They all gets the wrong answer >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> on a whole class of questions >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Wrong. You said. yourself. that >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> H1 gets the right answer for D. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Since it is a logical >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> impossibility to determine the truth >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> value of a self-contradictory >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> expression the requirement >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> for H to do this is bogus. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Shows you are just a LIAR, as >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> there IS a truth value to the >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> expression that is the requirment >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> for ANY SPECIFIC H. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    There is no mapping from H(D,D) to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halts(D,D) that exists. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> This proves that H(D,D) is being >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> asked an incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Why, because it is NOT a LIE. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    You don't even know the definiton of >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> an incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    I invented it so I get to stipulate >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> its meaning. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Cite a source. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    The fact that there DOES exist a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> mapping Halt(M,d) that maps all >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Turing Machines and there input to a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> result of Halting / Non-Halting for >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> EVERY member of that input set, >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> means tha Halts is a valid mapping >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> to ask a decider to try to decider. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    That part is true. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Likewise when you ask a man that has >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> never been married: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Have you stopped beating tour wife? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> There are some men that have stopped >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> beating their wife. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Right, because that question include a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> presumption of something not actually >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> present.


    Although there is a mapping from some >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> men to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> there is no mapping from never >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> unmarried men to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for all >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> unmarried men. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Although there is a mapping from some >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> TM/input pairs to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> there is no mapping from H/D to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for H/D >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>


    Except that the mapping requested is >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> about the INPUTS to H, not H itsef. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    In order to see that it is an incorrect >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> question we must examine >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> the question in detail. Making sure to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> always ignore this key detail >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ
    applied to ⟨Ĥ⟩ halts >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ
    applied to ⟨Ĥ⟩ does not halt >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> are just shown to be a stupid liar. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    The QUESTION is:

    Does the machine and input described by >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> this input, Halt when run? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    The question posed to Ĥ.H has no correct >>>>>>>>>>>>>>>>>>>>>>>>>>>>> answer, thus not the >>>>>>>>>>>>>>>>>>>>>>>>>>>>> same question at all. >>>>>>>>>>>>>>>>>>>>>>>>>>>>
    But it DOES.

    Then tell me which element of: >>>>>>>>>>>>>>>>>>>>>>>>>>> ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is
    correct and make sure that >>>>>>>>>>>>>>>>>>>>>>>>>>> you explain why this element is correct and >>>>>>>>>>>>>>>>>>>>>>>>>>> don't try to switch
    to any other element outside of the above >>>>>>>>>>>>>>>>>>>>>>>>>>> specified set.


    I didn't say there was.


    Then you understand that each question posed to >>>>>>>>>>>>>>>>>>>>>>>>> each Ĥ.H in the
    above set has no correct answer only because >>>>>>>>>>>>>>>>>>>>>>>>> each of these answers
    are contradicted by the machine that H is >>>>>>>>>>>>>>>>>>>>>>>>> contained within.


    No, YOU don't understand that the IS a correct >>>>>>>>>>>>>>>>>>>>>>>> answer, just not the one that H (or H^.H ) >>>>>>>>>>>>>>>>>>>>>>>> happens to give.


    Then show me which contradicted answer is correct. >>>>>>>>>>>>>>>>>>>>>>>


    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy >>>>>>>>>>>>>>>>>>>>>> and loops so qn was the right answer. >>>>>>>>>>>>>>>>>>>>> *The strawman deception is all that you have* >>>>>>>>>>>>>>>>>>>>>
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied
    to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied
    to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    *The answer must come from elements of the above set* >>>>>>>>>>>>>>>>>>>>
    Is a false claim about a strawman deception really >>>>>>>>>>>>>>>>>>>> the best you can say?


    The above are the program/input pairs such that every >>>>>>>>>>>>>>>>>>> Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets the wrong answer only because whatever answer >>>>>>>>>>>>>>>>>>> that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to >>>>>>>>>>>>>>>>>> the ACTUAL QUESTION needs to come from.

    You are just proving your stupidity and duplicity. >>>>>>>>>>>>>>>>>
    Objective and Subjective Specifications
    https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's >>>>>>>>>>>>>>>>> original
    question: Can anyone correctly answer “no” to this >>>>>>>>>>>>>>>>> question?

    Carol can correctly answer that question with any word >>>>>>>>>>>>>>>>> that is
    synonymous with "no".

    Here is the one where the loophole is closed: >>>>>>>>>>>>>>>>> Can Carol correctly answer “no” to this [yes/no] question?

    The fact that anyone besides Carol can correctly answer >>>>>>>>>>>>>>>>> that
    question with a NO and Carol cannot possibly correctly >>>>>>>>>>>>>>>>> answer
    that question proves that it is a different question >>>>>>>>>>>>>>>>> when posed
    to Carol than when posed to anyone else.

    Which is IRRELEVENT to the Halting Question, as it is a >>>>>>>>>>>>>>>> purely objective question.

    The behavior of the input is INDEPENDENT of the decider >>>>>>>>>>>>>>>> looking at it.

    Note, a given H^ is built on a given H, and no other, >>>>>>>>>>>>>>>> but can be given to any decider to answer, and the >>>>>>>>>>>>>>>> correct answer will be the same irrespective of you ask. >>>>>>>>>>>>>>>> Some will give the right answer, and some will give the >>>>>>>>>>>>>>>> wrong answer. The fact that that H is in the latter >>>>>>>>>>>>>>>> doesn't make the question subjective.

    The only way to make the Halting Question subjective is >>>>>>>>>>>>>>>> to try to redefine it so the input changes with who you >>>>>>>>>>>>>>>> ask, but it doesn't.

    The changing H^ to match the H only happens in the Meta, >>>>>>>>>>>>>>>> where we prove that we can find an H^ that any H will >>>>>>>>>>>>>>>> get wrong, but each of those are SEPERATE Halting >>>>>>>>>>>>>>>> question (not all one question) and each of those >>>>>>>>>>>>>>>> seperate questions have a correct answer.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to
    ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to
    ⟨Ĥ⟩ does not halt

    Carol's question posed to Carol <is> isomorphic to >>>>>>>>>>>>>>>>> input ⟨Ĥ⟩ ⟨Ĥ⟩
    to every Ĥ.H shown above. The fact that some other TM >>>>>>>>>>>>>>>>> such as H1
    (that is not contradicted) can determine a correct >>>>>>>>>>>>>>>>> answer proves
    that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question >>>>>>>>>>>>>>>>>
    Nope.

    The Question doesn't refer to H at all.


    The input ⟨Ĥ⟩ ⟨Ĥ⟩ posed to Ĥ.H
    is isomorphic to this question posed to Carol:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>>>>>
    Nope. and that LIE is a source of a lot of your ERRORS. >>>>>>>>>>>>>>
    Carol is a volitional being.

    When we hypothesize that Carol is the name of an AI machine >>>>>>>>>>>>> everything remains the same.

    Nope.

    Once Carol become deterministic, then the whole thing changes. >>>>>>>>>>>>

    The only reason that:
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    cannot be correctly answered is that the specific Ĥ.H is >>>>>>>>>>> contradicted.

    The only reason that:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>> posed to Carol
    cannot be correctly answered is that the specific Carol is >>>>>>>>>>> contradicted.


    Nope.

    You aren't showing any ERRORS I made but just asserting your >>>>>>>>>> FALSE claims again.

    Inability to show WHY my description was wrong just proves you >>>>>>>>>> have no basis.


    You are just demonstrating that you don't understand how logic >>>>>>>>>> works.

    It seems you think this is just some abstract philosophy where >>>>>>>>>> anything goes and rhetoric rules.


    *You have provided zero correct reasoning of how*
    *Carol's question posed to Carol*
    *is not contradicted just like*
    *Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H is contradicted*


    Yes, I have.

    YOU have provided ZERO reasoning how they are.

    Dos H^ (H^) Halt? even when posed to H^.H has an answer!


    When posed to each entity (Carol/Ĥ.H)
    their respective question (a)/(b):
    (a) Carol correctly answer “no” to this [yes/no] question?
    (b) Does Ĥ  halt?
    lacks a correct answer because this answer is contradicted.

    (b) has a correct answer, which is "yes"


    When Ĥ gives that answer it is contradicted by Ĥ,
    thus it is the wrong answer.

    What does "When Ĥ gives that answer" mean?
    The possible answers that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ gives are:
    (a) Ĥ.Hqy then loop  (always does the opposite of what it says).
    (b) Ĥ.Hqn then halt  (always does the opposite of what it says).

    No, only one answer is possible, which is the one that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is
    programmed to give.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Because every Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is contradicted.

    one answer is possible, which is the one that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is programmed
    to give.



    Ĥ is a program which can only do what it is programmed, and it is
    programmed to answer "no" even though the correct answer is "yes".





    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From immibis@21:1/5 to olcott on Sat Mar 16 18:26:27 2024
    XPost: sci.logic

    On 16/03/24 16:43, olcott wrote:
    On 3/16/2024 10:37 AM, Richard Damon wrote:
    On 3/15/24 10:21 PM, olcott wrote:
    On 3/15/2024 11:24 PM, immibis wrote:
    On 16/03/24 04:52, olcott wrote:
    On 3/15/2024 10:15 PM, immibis wrote:
    On 16/03/24 00:17, olcott wrote:
    On 3/15/2024 6:02 PM, Richard Damon wrote:
    On 3/15/24 3:47 PM, olcott wrote:
    On 3/15/2024 5:13 PM, Richard Damon wrote:
    On 3/15/24 1:42 PM, olcott wrote:
    On 3/15/2024 3:35 PM, Richard Damon wrote:
    On 3/15/24 12:50 PM, olcott wrote:
    On 3/15/2024 2:42 PM, Richard Damon wrote:
    On 3/15/24 12:23 PM, olcott wrote:
    On 3/15/2024 2:14 PM, Richard Damon wrote:
    On 3/15/24 12:00 PM, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said: >>>>>>>>>>>>>>>>>>>>
    On 3/14/2024 8:06 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/14/24 4:45 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 5:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 3:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 4:55 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:59 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:54 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:26 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:20 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 12:32 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 12:33 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 4:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 5:43 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 2:54 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 4:39 PM, Richard Damon >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote:
    On 3/13/24 1:52 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 12:52 PM, Richard >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Not quite. It always gets the >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrong answer, but only one of >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> them for each quesiton. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> They all gets the wrong answer >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> on a whole class of questions >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Wrong. You said. yourself. that >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> H1 gets the right answer for D. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Since it is a logical >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> impossibility to determine the truth >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> value of a self-contradictory >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> expression the requirement >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> for H to do this is bogus. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Shows you are just a LIAR, as >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> there IS a truth value to the >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> expression that is the requirment >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> for ANY SPECIFIC H. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    There is no mapping from H(D,D) to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halts(D,D) that exists. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> This proves that H(D,D) is being >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> asked an incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Why, because it is NOT a LIE. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    You don't even know the definiton of >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> an incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    I invented it so I get to stipulate >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> its meaning. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Cite a source. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    The fact that there DOES exist a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> mapping Halt(M,d) that maps all >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Turing Machines and there input to a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> result of Halting / Non-Halting for >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> EVERY member of that input set, >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> means tha Halts is a valid mapping >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> to ask a decider to try to decider. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    That part is true. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Likewise when you ask a man that has >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> never been married: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Have you stopped beating tour wife? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> There are some men that have stopped >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> beating their wife. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Right, because that question include a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> presumption of something not actually >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> present.


    Although there is a mapping from some >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> men to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> there is no mapping from never >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> unmarried men to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for all >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> unmarried men. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Although there is a mapping from some >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> TM/input pairs to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> there is no mapping from H/D to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for H/D >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>


    Except that the mapping requested is >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> about the INPUTS to H, not H itsef. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    In order to see that it is an incorrect >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> question we must examine >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> the question in detail. Making sure to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> always ignore this key detail >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ
    applied to ⟨Ĥ⟩ halts >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ
    applied to ⟨Ĥ⟩ does not halt >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> are just shown to be a stupid liar. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    The QUESTION is:

    Does the machine and input described by >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> this input, Halt when run? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    The question posed to Ĥ.H has no correct >>>>>>>>>>>>>>>>>>>>>>>>>>>>> answer, thus not the >>>>>>>>>>>>>>>>>>>>>>>>>>>>> same question at all. >>>>>>>>>>>>>>>>>>>>>>>>>>>>
    But it DOES.

    Then tell me which element of: >>>>>>>>>>>>>>>>>>>>>>>>>>> ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is
    correct and make sure that >>>>>>>>>>>>>>>>>>>>>>>>>>> you explain why this element is correct and >>>>>>>>>>>>>>>>>>>>>>>>>>> don't try to switch
    to any other element outside of the above >>>>>>>>>>>>>>>>>>>>>>>>>>> specified set.


    I didn't say there was.


    Then you understand that each question posed to >>>>>>>>>>>>>>>>>>>>>>>>> each Ĥ.H in the
    above set has no correct answer only because >>>>>>>>>>>>>>>>>>>>>>>>> each of these answers
    are contradicted by the machine that H is >>>>>>>>>>>>>>>>>>>>>>>>> contained within.


    No, YOU don't understand that the IS a correct >>>>>>>>>>>>>>>>>>>>>>>> answer, just not the one that H (or H^.H ) >>>>>>>>>>>>>>>>>>>>>>>> happens to give.


    Then show me which contradicted answer is correct. >>>>>>>>>>>>>>>>>>>>>>>


    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy >>>>>>>>>>>>>>>>>>>>>> and loops so qn was the right answer. >>>>>>>>>>>>>>>>>>>>> *The strawman deception is all that you have* >>>>>>>>>>>>>>>>>>>>>
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied
    to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied
    to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    *The answer must come from elements of the above set* >>>>>>>>>>>>>>>>>>>>
    Is a false claim about a strawman deception really >>>>>>>>>>>>>>>>>>>> the best you can say?


    The above are the program/input pairs such that every >>>>>>>>>>>>>>>>>>> Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets the wrong answer only because whatever answer >>>>>>>>>>>>>>>>>>> that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to >>>>>>>>>>>>>>>>>> the ACTUAL QUESTION needs to come from.

    You are just proving your stupidity and duplicity. >>>>>>>>>>>>>>>>>
    Objective and Subjective Specifications
    https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's >>>>>>>>>>>>>>>>> original
    question: Can anyone correctly answer “no” to this >>>>>>>>>>>>>>>>> question?

    Carol can correctly answer that question with any word >>>>>>>>>>>>>>>>> that is
    synonymous with "no".

    Here is the one where the loophole is closed: >>>>>>>>>>>>>>>>> Can Carol correctly answer “no” to this [yes/no] question?

    The fact that anyone besides Carol can correctly answer >>>>>>>>>>>>>>>>> that
    question with a NO and Carol cannot possibly correctly >>>>>>>>>>>>>>>>> answer
    that question proves that it is a different question >>>>>>>>>>>>>>>>> when posed
    to Carol than when posed to anyone else.

    Which is IRRELEVENT to the Halting Question, as it is a >>>>>>>>>>>>>>>> purely objective question.

    The behavior of the input is INDEPENDENT of the decider >>>>>>>>>>>>>>>> looking at it.

    Note, a given H^ is built on a given H, and no other, >>>>>>>>>>>>>>>> but can be given to any decider to answer, and the >>>>>>>>>>>>>>>> correct answer will be the same irrespective of you ask. >>>>>>>>>>>>>>>> Some will give the right answer, and some will give the >>>>>>>>>>>>>>>> wrong answer. The fact that that H is in the latter >>>>>>>>>>>>>>>> doesn't make the question subjective.

    The only way to make the Halting Question subjective is >>>>>>>>>>>>>>>> to try to redefine it so the input changes with who you >>>>>>>>>>>>>>>> ask, but it doesn't.

    The changing H^ to match the H only happens in the Meta, >>>>>>>>>>>>>>>> where we prove that we can find an H^ that any H will >>>>>>>>>>>>>>>> get wrong, but each of those are SEPERATE Halting >>>>>>>>>>>>>>>> question (not all one question) and each of those >>>>>>>>>>>>>>>> seperate questions have a correct answer.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to
    ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to
    ⟨Ĥ⟩ does not halt

    Carol's question posed to Carol <is> isomorphic to >>>>>>>>>>>>>>>>> input ⟨Ĥ⟩ ⟨Ĥ⟩
    to every Ĥ.H shown above. The fact that some other TM >>>>>>>>>>>>>>>>> such as H1
    (that is not contradicted) can determine a correct >>>>>>>>>>>>>>>>> answer proves
    that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question >>>>>>>>>>>>>>>>>
    Nope.

    The Question doesn't refer to H at all.


    The input ⟨Ĥ⟩ ⟨Ĥ⟩ posed to Ĥ.H
    is isomorphic to this question posed to Carol:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>>>>>
    Nope. and that LIE is a source of a lot of your ERRORS. >>>>>>>>>>>>>>
    Carol is a volitional being.

    When we hypothesize that Carol is the name of an AI machine >>>>>>>>>>>>> everything remains the same.

    Nope.

    Once Carol become deterministic, then the whole thing changes. >>>>>>>>>>>>

    The only reason that:
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    cannot be correctly answered is that the specific Ĥ.H is >>>>>>>>>>> contradicted.

    The only reason that:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>> posed to Carol
    cannot be correctly answered is that the specific Carol is >>>>>>>>>>> contradicted.


    Nope.

    You aren't showing any ERRORS I made but just asserting your >>>>>>>>>> FALSE claims again.

    Inability to show WHY my description was wrong just proves you >>>>>>>>>> have no basis.


    You are just demonstrating that you don't understand how logic >>>>>>>>>> works.

    It seems you think this is just some abstract philosophy where >>>>>>>>>> anything goes and rhetoric rules.


    *You have provided zero correct reasoning of how*
    *Carol's question posed to Carol*
    *is not contradicted just like*
    *Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H is contradicted*


    Yes, I have.

    YOU have provided ZERO reasoning how they are.

    Dos H^ (H^) Halt? even when posed to H^.H has an answer!


    When posed to each entity (Carol/Ĥ.H)
    their respective question (a)/(b):
    (a) Carol correctly answer “no” to this [yes/no] question?
    (b) Does Ĥ  halt?
    lacks a correct answer because this answer is contradicted.

    (b) has a correct answer, which is "yes"


    When Ĥ gives that answer it is contradicted by Ĥ,
    thus it is the wrong answer.

    What does "When Ĥ gives that answer" mean?
    The possible answers that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ gives are:
    (a) Ĥ.Hqy then loop  (always does the opposite of what it says).
    (b) Ĥ.Hqn then halt  (always does the opposite of what it says).

    Ĥ is a program which can only do what it is programmed, and it is
    programmed to answer "no" even though the correct answer is "yes".



    Nut (a) isn't AN ANSWER, as it isn't given to any machine that uses it.

    You don't seem to understand what answer is.

    And, H^ is not defined to apply any semantic to its return, so you
    can't assume any.

    H is defined to give an answer, but all H's will give the wrong answer
    for the H^ built from it.

    *Only because every answer that they give is contradicted*

    It only gives one answer, which is contradicted.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Sat Mar 16 11:33:41 2024
    XPost: sci.logic

    On 3/16/24 8:43 AM, olcott wrote:
    On 3/16/2024 10:37 AM, Richard Damon wrote:
    On 3/15/24 10:21 PM, olcott wrote:
    On 3/15/2024 11:24 PM, immibis wrote:
    On 16/03/24 04:52, olcott wrote:
    On 3/15/2024 10:15 PM, immibis wrote:
    On 16/03/24 00:17, olcott wrote:
    On 3/15/2024 6:02 PM, Richard Damon wrote:
    On 3/15/24 3:47 PM, olcott wrote:
    On 3/15/2024 5:13 PM, Richard Damon wrote:
    On 3/15/24 1:42 PM, olcott wrote:
    On 3/15/2024 3:35 PM, Richard Damon wrote:
    On 3/15/24 12:50 PM, olcott wrote:
    On 3/15/2024 2:42 PM, Richard Damon wrote:
    On 3/15/24 12:23 PM, olcott wrote:
    On 3/15/2024 2:14 PM, Richard Damon wrote:
    On 3/15/24 12:00 PM, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said: >>>>>>>>>>>>>>>>>>>>
    On 3/14/2024 8:06 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/14/24 4:45 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 5:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 3:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 4:55 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:59 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:54 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:26 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:20 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 12:32 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 12:33 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 4:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 5:43 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 2:54 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 4:39 PM, Richard Damon >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote:
    On 3/13/24 1:52 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 12:52 PM, Richard >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Not quite. It always gets the >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrong answer, but only one of >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> them for each quesiton. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> They all gets the wrong answer >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> on a whole class of questions >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Wrong. You said. yourself. that >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> H1 gets the right answer for D. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Since it is a logical >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> impossibility to determine the truth >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> value of a self-contradictory >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> expression the requirement >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> for H to do this is bogus. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Shows you are just a LIAR, as >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> there IS a truth value to the >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> expression that is the requirment >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> for ANY SPECIFIC H. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    There is no mapping from H(D,D) to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halts(D,D) that exists. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> This proves that H(D,D) is being >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> asked an incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Why, because it is NOT a LIE. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    You don't even know the definiton of >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> an incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    I invented it so I get to stipulate >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> its meaning. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Cite a source. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    The fact that there DOES exist a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> mapping Halt(M,d) that maps all >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Turing Machines and there input to a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> result of Halting / Non-Halting for >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> EVERY member of that input set, >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> means tha Halts is a valid mapping >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> to ask a decider to try to decider. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    That part is true. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Likewise when you ask a man that has >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> never been married: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Have you stopped beating tour wife? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> There are some men that have stopped >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> beating their wife. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Right, because that question include a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> presumption of something not actually >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> present.


    Although there is a mapping from some >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> men to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> there is no mapping from never >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> unmarried men to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for all >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> unmarried men. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Although there is a mapping from some >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> TM/input pairs to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> there is no mapping from H/D to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for H/D >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>


    Except that the mapping requested is >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> about the INPUTS to H, not H itsef. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    In order to see that it is an incorrect >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> question we must examine >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> the question in detail. Making sure to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> always ignore this key detail >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ
    applied to ⟨Ĥ⟩ halts >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ
    applied to ⟨Ĥ⟩ does not halt >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> are just shown to be a stupid liar. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    The QUESTION is:

    Does the machine and input described by >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> this input, Halt when run? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    The question posed to Ĥ.H has no correct >>>>>>>>>>>>>>>>>>>>>>>>>>>>> answer, thus not the >>>>>>>>>>>>>>>>>>>>>>>>>>>>> same question at all. >>>>>>>>>>>>>>>>>>>>>>>>>>>>
    But it DOES.

    Then tell me which element of: >>>>>>>>>>>>>>>>>>>>>>>>>>> ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is
    correct and make sure that >>>>>>>>>>>>>>>>>>>>>>>>>>> you explain why this element is correct and >>>>>>>>>>>>>>>>>>>>>>>>>>> don't try to switch
    to any other element outside of the above >>>>>>>>>>>>>>>>>>>>>>>>>>> specified set.


    I didn't say there was.


    Then you understand that each question posed to >>>>>>>>>>>>>>>>>>>>>>>>> each Ĥ.H in the
    above set has no correct answer only because >>>>>>>>>>>>>>>>>>>>>>>>> each of these answers
    are contradicted by the machine that H is >>>>>>>>>>>>>>>>>>>>>>>>> contained within.


    No, YOU don't understand that the IS a correct >>>>>>>>>>>>>>>>>>>>>>>> answer, just not the one that H (or H^.H ) >>>>>>>>>>>>>>>>>>>>>>>> happens to give.


    Then show me which contradicted answer is correct. >>>>>>>>>>>>>>>>>>>>>>>


    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy >>>>>>>>>>>>>>>>>>>>>> and loops so qn was the right answer. >>>>>>>>>>>>>>>>>>>>> *The strawman deception is all that you have* >>>>>>>>>>>>>>>>>>>>>
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied
    to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied
    to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    *The answer must come from elements of the above set* >>>>>>>>>>>>>>>>>>>>
    Is a false claim about a strawman deception really >>>>>>>>>>>>>>>>>>>> the best you can say?


    The above are the program/input pairs such that every >>>>>>>>>>>>>>>>>>> Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets the wrong answer only because whatever answer >>>>>>>>>>>>>>>>>>> that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to >>>>>>>>>>>>>>>>>> the ACTUAL QUESTION needs to come from.

    You are just proving your stupidity and duplicity. >>>>>>>>>>>>>>>>>
    Objective and Subjective Specifications
    https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's >>>>>>>>>>>>>>>>> original
    question: Can anyone correctly answer “no” to this >>>>>>>>>>>>>>>>> question?

    Carol can correctly answer that question with any word >>>>>>>>>>>>>>>>> that is
    synonymous with "no".

    Here is the one where the loophole is closed: >>>>>>>>>>>>>>>>> Can Carol correctly answer “no” to this [yes/no] question?

    The fact that anyone besides Carol can correctly answer >>>>>>>>>>>>>>>>> that
    question with a NO and Carol cannot possibly correctly >>>>>>>>>>>>>>>>> answer
    that question proves that it is a different question >>>>>>>>>>>>>>>>> when posed
    to Carol than when posed to anyone else.

    Which is IRRELEVENT to the Halting Question, as it is a >>>>>>>>>>>>>>>> purely objective question.

    The behavior of the input is INDEPENDENT of the decider >>>>>>>>>>>>>>>> looking at it.

    Note, a given H^ is built on a given H, and no other, >>>>>>>>>>>>>>>> but can be given to any decider to answer, and the >>>>>>>>>>>>>>>> correct answer will be the same irrespective of you ask. >>>>>>>>>>>>>>>> Some will give the right answer, and some will give the >>>>>>>>>>>>>>>> wrong answer. The fact that that H is in the latter >>>>>>>>>>>>>>>> doesn't make the question subjective.

    The only way to make the Halting Question subjective is >>>>>>>>>>>>>>>> to try to redefine it so the input changes with who you >>>>>>>>>>>>>>>> ask, but it doesn't.

    The changing H^ to match the H only happens in the Meta, >>>>>>>>>>>>>>>> where we prove that we can find an H^ that any H will >>>>>>>>>>>>>>>> get wrong, but each of those are SEPERATE Halting >>>>>>>>>>>>>>>> question (not all one question) and each of those >>>>>>>>>>>>>>>> seperate questions have a correct answer.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to
    ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to
    ⟨Ĥ⟩ does not halt

    Carol's question posed to Carol <is> isomorphic to >>>>>>>>>>>>>>>>> input ⟨Ĥ⟩ ⟨Ĥ⟩
    to every Ĥ.H shown above. The fact that some other TM >>>>>>>>>>>>>>>>> such as H1
    (that is not contradicted) can determine a correct >>>>>>>>>>>>>>>>> answer proves
    that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question >>>>>>>>>>>>>>>>>
    Nope.

    The Question doesn't refer to H at all.


    The input ⟨Ĥ⟩ ⟨Ĥ⟩ posed to Ĥ.H
    is isomorphic to this question posed to Carol:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>>>>>
    Nope. and that LIE is a source of a lot of your ERRORS. >>>>>>>>>>>>>>
    Carol is a volitional being.

    When we hypothesize that Carol is the name of an AI machine >>>>>>>>>>>>> everything remains the same.

    Nope.

    Once Carol become deterministic, then the whole thing changes. >>>>>>>>>>>>

    The only reason that:
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    cannot be correctly answered is that the specific Ĥ.H is >>>>>>>>>>> contradicted.

    The only reason that:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>> posed to Carol
    cannot be correctly answered is that the specific Carol is >>>>>>>>>>> contradicted.


    Nope.

    You aren't showing any ERRORS I made but just asserting your >>>>>>>>>> FALSE claims again.

    Inability to show WHY my description was wrong just proves you >>>>>>>>>> have no basis.


    You are just demonstrating that you don't understand how logic >>>>>>>>>> works.

    It seems you think this is just some abstract philosophy where >>>>>>>>>> anything goes and rhetoric rules.


    *You have provided zero correct reasoning of how*
    *Carol's question posed to Carol*
    *is not contradicted just like*
    *Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H is contradicted*


    Yes, I have.

    YOU have provided ZERO reasoning how they are.

    Dos H^ (H^) Halt? even when posed to H^.H has an answer!


    When posed to each entity (Carol/Ĥ.H)
    their respective question (a)/(b):
    (a) Carol correctly answer “no” to this [yes/no] question?
    (b) Does Ĥ  halt?
    lacks a correct answer because this answer is contradicted.

    (b) has a correct answer, which is "yes"


    When Ĥ gives that answer it is contradicted by Ĥ,
    thus it is the wrong answer.

    What does "When Ĥ gives that answer" mean?
    The possible answers that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ gives are:
    (a) Ĥ.Hqy then loop  (always does the opposite of what it says).
    (b) Ĥ.Hqn then halt  (always does the opposite of what it says).

    Ĥ is a program which can only do what it is programmed, and it is
    programmed to answer "no" even though the correct answer is "yes".



    Nut (a) isn't AN ANSWER, as it isn't given to any machine that uses it.

    You don't seem to understand what answer is.

    And, H^ is not defined to apply any semantic to its return, so you
    can't assume any.

    H is defined to give an answer, but all H's will give the wrong answer
    for the H^ built from it.

    *Only because every answer that they give is contradicted*

    So, you adit there *IS* a correct answer, just that no H can give it.


    Carol's Question posed to Carol:
    Can Carol correctly answer “no” to this [yes/no] question?
    and
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩

    lack a correct answer because this answer is contradicted.
    *Incorrect questions lack correct answers*



    So, you don't understand that: "Does this input Hat?" has a correct answer.

    H is just wrong about it.

    No problem with that.

    Remember, they question DOESN'T ask about H being able to answer, which
    Carol's question does.

    Thus, they are not "Isomorphic".

    Only in your LIES do they seem the same.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Sat Mar 16 11:43:07 2024
    XPost: sci.logic

    On 3/16/24 9:40 AM, olcott wrote:
    On 3/16/2024 11:33 AM, immibis wrote:
    On 16/03/24 06:21, olcott wrote:
    On 3/15/2024 11:24 PM, immibis wrote:
    On 16/03/24 04:52, olcott wrote:
    On 3/15/2024 10:15 PM, immibis wrote:
    On 16/03/24 00:17, olcott wrote:
    On 3/15/2024 6:02 PM, Richard Damon wrote:
    On 3/15/24 3:47 PM, olcott wrote:
    On 3/15/2024 5:13 PM, Richard Damon wrote:
    On 3/15/24 1:42 PM, olcott wrote:
    On 3/15/2024 3:35 PM, Richard Damon wrote:
    On 3/15/24 12:50 PM, olcott wrote:
    On 3/15/2024 2:42 PM, Richard Damon wrote:
    On 3/15/24 12:23 PM, olcott wrote:
    On 3/15/2024 2:14 PM, Richard Damon wrote:
    On 3/15/24 12:00 PM, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said: >>>>>>>>>>>>>>>>>>>>
    On 3/14/2024 8:06 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/14/24 4:45 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 5:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 3:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 4:55 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:59 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:54 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:26 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:20 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 12:32 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 12:33 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 4:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 5:43 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 2:54 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 4:39 PM, Richard Damon >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote:
    On 3/13/24 1:52 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 12:52 PM, Richard >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Not quite. It always gets the >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrong answer, but only one of >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> them for each quesiton. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> They all gets the wrong answer >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> on a whole class of questions >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Wrong. You said. yourself. that >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> H1 gets the right answer for D. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Since it is a logical >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> impossibility to determine the truth >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> value of a self-contradictory >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> expression the requirement >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> for H to do this is bogus. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Shows you are just a LIAR, as >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> there IS a truth value to the >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> expression that is the requirment >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> for ANY SPECIFIC H. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    There is no mapping from H(D,D) to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halts(D,D) that exists. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> This proves that H(D,D) is being >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> asked an incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Why, because it is NOT a LIE. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    You don't even know the definiton of >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> an incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    I invented it so I get to stipulate >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> its meaning. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Cite a source. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    The fact that there DOES exist a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> mapping Halt(M,d) that maps all >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Turing Machines and there input to a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> result of Halting / Non-Halting for >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> EVERY member of that input set, >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> means tha Halts is a valid mapping >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> to ask a decider to try to decider. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    That part is true. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Likewise when you ask a man that has >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> never been married: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Have you stopped beating tour wife? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> There are some men that have stopped >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> beating their wife. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Right, because that question include a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> presumption of something not actually >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> present.


    Although there is a mapping from some >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> men to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> there is no mapping from never >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> unmarried men to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for all >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> unmarried men. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Although there is a mapping from some >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> TM/input pairs to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> there is no mapping from H/D to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for H/D >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>


    Except that the mapping requested is >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> about the INPUTS to H, not H itsef. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    In order to see that it is an incorrect >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> question we must examine >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> the question in detail. Making sure to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> always ignore this key detail >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ
    applied to ⟨Ĥ⟩ halts >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ
    applied to ⟨Ĥ⟩ does not halt >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> are just shown to be a stupid liar. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    The QUESTION is:

    Does the machine and input described by >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> this input, Halt when run? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    The question posed to Ĥ.H has no correct >>>>>>>>>>>>>>>>>>>>>>>>>>>>> answer, thus not the >>>>>>>>>>>>>>>>>>>>>>>>>>>>> same question at all. >>>>>>>>>>>>>>>>>>>>>>>>>>>>
    But it DOES.

    Then tell me which element of: >>>>>>>>>>>>>>>>>>>>>>>>>>> ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is
    correct and make sure that >>>>>>>>>>>>>>>>>>>>>>>>>>> you explain why this element is correct and >>>>>>>>>>>>>>>>>>>>>>>>>>> don't try to switch
    to any other element outside of the above >>>>>>>>>>>>>>>>>>>>>>>>>>> specified set.


    I didn't say there was.


    Then you understand that each question posed to >>>>>>>>>>>>>>>>>>>>>>>>> each Ĥ.H in the
    above set has no correct answer only because >>>>>>>>>>>>>>>>>>>>>>>>> each of these answers
    are contradicted by the machine that H is >>>>>>>>>>>>>>>>>>>>>>>>> contained within.


    No, YOU don't understand that the IS a correct >>>>>>>>>>>>>>>>>>>>>>>> answer, just not the one that H (or H^.H ) >>>>>>>>>>>>>>>>>>>>>>>> happens to give.


    Then show me which contradicted answer is correct. >>>>>>>>>>>>>>>>>>>>>>>


    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy >>>>>>>>>>>>>>>>>>>>>> and loops so qn was the right answer. >>>>>>>>>>>>>>>>>>>>> *The strawman deception is all that you have* >>>>>>>>>>>>>>>>>>>>>
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied
    to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied
    to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    *The answer must come from elements of the above set* >>>>>>>>>>>>>>>>>>>>
    Is a false claim about a strawman deception really >>>>>>>>>>>>>>>>>>>> the best you can say?


    The above are the program/input pairs such that every >>>>>>>>>>>>>>>>>>> Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets the wrong answer only because whatever answer >>>>>>>>>>>>>>>>>>> that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to >>>>>>>>>>>>>>>>>> the ACTUAL QUESTION needs to come from.

    You are just proving your stupidity and duplicity. >>>>>>>>>>>>>>>>>
    Objective and Subjective Specifications
    https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's >>>>>>>>>>>>>>>>> original
    question: Can anyone correctly answer “no” to this >>>>>>>>>>>>>>>>> question?

    Carol can correctly answer that question with any word >>>>>>>>>>>>>>>>> that is
    synonymous with "no".

    Here is the one where the loophole is closed: >>>>>>>>>>>>>>>>> Can Carol correctly answer “no” to this [yes/no] question?

    The fact that anyone besides Carol can correctly answer >>>>>>>>>>>>>>>>> that
    question with a NO and Carol cannot possibly correctly >>>>>>>>>>>>>>>>> answer
    that question proves that it is a different question >>>>>>>>>>>>>>>>> when posed
    to Carol than when posed to anyone else.

    Which is IRRELEVENT to the Halting Question, as it is a >>>>>>>>>>>>>>>> purely objective question.

    The behavior of the input is INDEPENDENT of the decider >>>>>>>>>>>>>>>> looking at it.

    Note, a given H^ is built on a given H, and no other, >>>>>>>>>>>>>>>> but can be given to any decider to answer, and the >>>>>>>>>>>>>>>> correct answer will be the same irrespective of you ask. >>>>>>>>>>>>>>>> Some will give the right answer, and some will give the >>>>>>>>>>>>>>>> wrong answer. The fact that that H is in the latter >>>>>>>>>>>>>>>> doesn't make the question subjective.

    The only way to make the Halting Question subjective is >>>>>>>>>>>>>>>> to try to redefine it so the input changes with who you >>>>>>>>>>>>>>>> ask, but it doesn't.

    The changing H^ to match the H only happens in the Meta, >>>>>>>>>>>>>>>> where we prove that we can find an H^ that any H will >>>>>>>>>>>>>>>> get wrong, but each of those are SEPERATE Halting >>>>>>>>>>>>>>>> question (not all one question) and each of those >>>>>>>>>>>>>>>> seperate questions have a correct answer.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to
    ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to
    ⟨Ĥ⟩ does not halt

    Carol's question posed to Carol <is> isomorphic to >>>>>>>>>>>>>>>>> input ⟨Ĥ⟩ ⟨Ĥ⟩
    to every Ĥ.H shown above. The fact that some other TM >>>>>>>>>>>>>>>>> such as H1
    (that is not contradicted) can determine a correct >>>>>>>>>>>>>>>>> answer proves
    that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question >>>>>>>>>>>>>>>>>
    Nope.

    The Question doesn't refer to H at all.


    The input ⟨Ĥ⟩ ⟨Ĥ⟩ posed to Ĥ.H
    is isomorphic to this question posed to Carol:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>>>>>
    Nope. and that LIE is a source of a lot of your ERRORS. >>>>>>>>>>>>>>
    Carol is a volitional being.

    When we hypothesize that Carol is the name of an AI machine >>>>>>>>>>>>> everything remains the same.

    Nope.

    Once Carol become deterministic, then the whole thing changes. >>>>>>>>>>>>

    The only reason that:
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    cannot be correctly answered is that the specific Ĥ.H is >>>>>>>>>>> contradicted.

    The only reason that:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>> posed to Carol
    cannot be correctly answered is that the specific Carol is >>>>>>>>>>> contradicted.


    Nope.

    You aren't showing any ERRORS I made but just asserting your >>>>>>>>>> FALSE claims again.

    Inability to show WHY my description was wrong just proves you >>>>>>>>>> have no basis.


    You are just demonstrating that you don't understand how logic >>>>>>>>>> works.

    It seems you think this is just some abstract philosophy where >>>>>>>>>> anything goes and rhetoric rules.


    *You have provided zero correct reasoning of how*
    *Carol's question posed to Carol*
    *is not contradicted just like*
    *Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H is contradicted*


    Yes, I have.

    YOU have provided ZERO reasoning how they are.

    Dos H^ (H^) Halt? even when posed to H^.H has an answer!


    When posed to each entity (Carol/Ĥ.H)
    their respective question (a)/(b):
    (a) Carol correctly answer “no” to this [yes/no] question?
    (b) Does Ĥ  halt?
    lacks a correct answer because this answer is contradicted.

    (b) has a correct answer, which is "yes"


    When Ĥ gives that answer it is contradicted by Ĥ,
    thus it is the wrong answer.

    What does "When Ĥ gives that answer" mean?
    The possible answers that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ gives are:
    (a) Ĥ.Hqy then loop  (always does the opposite of what it says).
    (b) Ĥ.Hqn then halt  (always does the opposite of what it says).

    No, only one answer is possible, which is the one that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is
    programmed to give.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Because every Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is contradicted.

    Which doesn't say that their isn't an answer, only that no H gives the
    right answer.

    You are just showing you don't understand logic.



    Ĥ is a program which can only do what it is programmed, and it is
    programmed to answer "no" even though the correct answer is "yes".





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  • From Richard Damon@21:1/5 to olcott on Sat Mar 16 12:19:44 2024
    XPost: sci.logic

    On 3/15/24 8:52 PM, olcott wrote:
    On 3/15/2024 10:15 PM, immibis wrote:
    On 16/03/24 00:17, olcott wrote:
    On 3/15/2024 6:02 PM, Richard Damon wrote:
    On 3/15/24 3:47 PM, olcott wrote:
    On 3/15/2024 5:13 PM, Richard Damon wrote:
    On 3/15/24 1:42 PM, olcott wrote:
    On 3/15/2024 3:35 PM, Richard Damon wrote:
    On 3/15/24 12:50 PM, olcott wrote:
    On 3/15/2024 2:42 PM, Richard Damon wrote:
    On 3/15/24 12:23 PM, olcott wrote:
    On 3/15/2024 2:14 PM, Richard Damon wrote:
    On 3/15/24 12:00 PM, olcott wrote:
    On 3/15/2024 1:38 PM, Richard Damon wrote:
    On 3/15/24 7:41 AM, olcott wrote:
    On 3/15/2024 5:44 AM, Mikko wrote:
    On 2024-03-15 01:12:19 +0000, olcott said:

    On 3/14/2024 8:06 PM, Richard Damon wrote:
    On 3/14/24 4:45 PM, olcott wrote:
    On 3/14/2024 5:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 3/14/24 3:04 PM, olcott wrote:
    On 3/14/2024 4:55 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:59 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:54 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 1:26 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 3:20 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/24 12:32 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/14/2024 12:33 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 4:04 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 5:43 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 2:54 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 4:39 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/24 1:52 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 12:52 PM, Richard Damon >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote:
    On 3/13/24 10:08 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/13/2024 11:44 AM, immibis wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 13/03/24 04:55, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 3/12/2024 10:49 PM, Richard >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Not quite. It always gets the >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrong answer, but only one of them >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> for each quesiton. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    They all gets the wrong answer on a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> whole class of questions >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Wrong. You said. yourself. that H1 >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> gets the right answer for D. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Since it is a logical impossibility >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> to determine the truth >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> value of a self-contradictory >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> expression the requirement >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> for H to do this is bogus. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Shows you are just a LIAR, as there IS >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> a truth value to the expression that >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> is the requirment for ANY SPECIFIC H. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> *Lying about me being a liar may >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> possibly cost your soul* >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    There is no mapping from H(D,D) to >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halts(D,D) that exists. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> This proves that H(D,D) is being asked >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> an incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Why, because it is NOT a LIE. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    You don't even know the definiton of an >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> incorrect question. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    I invented it so I get to stipulate its >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> meaning.
    https://groups.google.com/g/sci.lang/c/AO5Vlupeelo/m/nxJy7N2vULwJ

    Nope, common technical term. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Cite a source.


    The fact that there DOES exist a mapping >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halt(M,d) that maps all Turing Machines >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> and there input to a result of Halting / >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Non-Halting for EVERY member of that >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> input set, means tha Halts is a valid >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> mapping to ask a decider to try to decider. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    That part is true. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Likewise when you ask a man that has >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> never been married: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Have you stopped beating tour wife? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> There are some men that have stopped >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> beating their wife. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Right, because that question include a >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> presumption of something not actually >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> present.


    Although there is a mapping from some men >>>>>>>>>>>>>>>>>>>>>>>>>>>>> to YES/NO
    there is no mapping from never unmarried >>>>>>>>>>>>>>>>>>>>>>>>>>>>> men to YES/NO
    thus the question is incorrect for all >>>>>>>>>>>>>>>>>>>>>>>>>>>>> unmarried men.

    Although there is a mapping from some >>>>>>>>>>>>>>>>>>>>>>>>>>>>> TM/input pairs to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>> there is no mapping from H/D to YES/NO >>>>>>>>>>>>>>>>>>>>>>>>>>>>> thus the question is incorrect for H/D >>>>>>>>>>>>>>>>>>>>>>>>>>>>>


    Except that the mapping requested is about >>>>>>>>>>>>>>>>>>>>>>>>>>>> the INPUTS to H, not H itsef. >>>>>>>>>>>>>>>>>>>>>>>>>>>>

    In order to see that it is an incorrect >>>>>>>>>>>>>>>>>>>>>>>>>>> question we must examine >>>>>>>>>>>>>>>>>>>>>>>>>>> the question in detail. Making sure to always >>>>>>>>>>>>>>>>>>>>>>>>>>> ignore this key detail
    <is> cheating.

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ
    applied to ⟨Ĥ⟩ halts >>>>>>>>>>>>>>>>>>>>>>>>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ
    applied to ⟨Ĥ⟩ does not halt >>>>>>>>>>>>>>>>>>>>>>>>>>> ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩))

    Which isn;t the question at all, so you are >>>>>>>>>>>>>>>>>>>>>>>>>> just shown to be a stupid liar. >>>>>>>>>>>>>>>>>>>>>>>>>>
    The QUESTION is:

    Does the machine and input described by this >>>>>>>>>>>>>>>>>>>>>>>>>> input, Halt when run?

    The question posed to Ĥ.H has no correct >>>>>>>>>>>>>>>>>>>>>>>>> answer, thus not the
    same question at all.

    But it DOES.

    Then tell me which element of:
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) is correct
    and make sure that
    you explain why this element is correct and don't >>>>>>>>>>>>>>>>>>>>>>> try to switch
    to any other element outside of the above >>>>>>>>>>>>>>>>>>>>>>> specified set.


    I didn't say there was.


    Then you understand that each question posed to >>>>>>>>>>>>>>>>>>>>> each Ĥ.H in the
    above set has no correct answer only because each >>>>>>>>>>>>>>>>>>>>> of these answers
    are contradicted by the machine that H is contained >>>>>>>>>>>>>>>>>>>>> within.


    No, YOU don't understand that the IS a correct >>>>>>>>>>>>>>>>>>>> answer, just not the one that H (or H^.H ) happens >>>>>>>>>>>>>>>>>>>> to give.


    Then show me which contradicted answer is correct. >>>>>>>>>>>>>>>>>>>


    If H (H^) (H^) goes to qy, then H^ (H^) goes to qy and >>>>>>>>>>>>>>>>>> loops so qn was the right answer.
    *The strawman deception is all that you have* >>>>>>>>>>>>>>>>>
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to
    ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to
    ⟨Ĥ⟩ does not halt
    ∀Ĥ.H (Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ != Halts(⟨Ĥ⟩, ⟨Ĥ⟩)) >>>>>>>>>>>>>>>>>
    *The answer must come from elements of the above set* >>>>>>>>>>>>>>>>
    Is a false claim about a strawman deception really the >>>>>>>>>>>>>>>> best you can say?


    The above are the program/input pairs such that every Ĥ.H >>>>>>>>>>>>>>> ⟨Ĥ⟩ ⟨Ĥ⟩
    gets the wrong answer only because whatever answer that >>>>>>>>>>>>>>> Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩
    gets is contradicted.



    So?

    That doesn't mean they are the set that the answer to the >>>>>>>>>>>>>> ACTUAL QUESTION needs to come from.

    You are just proving your stupidity and duplicity.

    Objective and Subjective Specifications
    https://www.cs.toronto.edu/~hehner/OSS.pdf

    Credit goes to you for finding the loophole in Carol's >>>>>>>>>>>>> original
    question: Can anyone correctly answer “no” to this question? >>>>>>>>>>>>>
    Carol can correctly answer that question with any word that is >>>>>>>>>>>>> synonymous with "no".

    Here is the one where the loophole is closed:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>>>>
    The fact that anyone besides Carol can correctly answer that >>>>>>>>>>>>> question with a NO and Carol cannot possibly correctly answer >>>>>>>>>>>>> that question proves that it is a different question when >>>>>>>>>>>>> posed
    to Carol than when posed to anyone else.

    Which is IRRELEVENT to the Halting Question, as it is a >>>>>>>>>>>> purely objective question.

    The behavior of the input is INDEPENDENT of the decider >>>>>>>>>>>> looking at it.

    Note, a given H^ is built on a given H, and no other, but >>>>>>>>>>>> can be given to any decider to answer, and the correct >>>>>>>>>>>> answer will be the same irrespective of you ask. Some will >>>>>>>>>>>> give the right answer, and some will give the wrong answer. >>>>>>>>>>>> The fact that that H is in the latter doesn't make the >>>>>>>>>>>> question subjective.

    The only way to make the Halting Question subjective is to >>>>>>>>>>>> try to redefine it so the input changes with who you ask, >>>>>>>>>>>> but it doesn't.

    The changing H^ to match the H only happens in the Meta, >>>>>>>>>>>> where we prove that we can find an H^ that any H will get >>>>>>>>>>>> wrong, but each of those are SEPERATE Halting question (not >>>>>>>>>>>> all one question) and each of those seperate questions have >>>>>>>>>>>> a correct answer.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn   // Ĥ applied to ⟨Ĥ⟩
    does not halt

    Carol's question posed to Carol <is> isomorphic to input >>>>>>>>>>>>> ⟨Ĥ⟩ ⟨Ĥ⟩
    to every Ĥ.H shown above. The fact that some other TM such >>>>>>>>>>>>> as H1
    (that is not contradicted) can determine a correct answer >>>>>>>>>>>>> proves
    that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is a different question

    Nope.

    The Question doesn't refer to H at all.


    The input ⟨Ĥ⟩ ⟨Ĥ⟩ posed to Ĥ.H
    is isomorphic to this question posed to Carol:
    Can Carol correctly answer “no” to this [yes/no] question? >>>>>>>>>>
    Nope. and that LIE is a source of a lot of your ERRORS.

    Carol is a volitional being.

    When we hypothesize that Carol is the name of an AI machine
    everything remains the same.

    Nope.

    Once Carol become deterministic, then the whole thing changes. >>>>>>>>

    The only reason that:
    Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H
    cannot be correctly answered is that the specific Ĥ.H is
    contradicted.

    The only reason that:
    Can Carol correctly answer “no” to this [yes/no] question? posed >>>>>>> to Carol
    cannot be correctly answered is that the specific Carol is
    contradicted.


    Nope.

    You aren't showing any ERRORS I made but just asserting your FALSE >>>>>> claims again.

    Inability to show WHY my description was wrong just proves you
    have no basis.


    You are just demonstrating that you don't understand how logic works. >>>>>>
    It seems you think this is just some abstract philosophy where
    anything goes and rhetoric rules.


    *You have provided zero correct reasoning of how*
    *Carol's question posed to Carol*
    *is not contradicted just like*
    *Does Ĥ ⟨Ĥ⟩ halt? posed to Ĥ.H is contradicted*


    Yes, I have.

    YOU have provided ZERO reasoning how they are.

    Dos H^ (H^) Halt? even when posed to H^.H has an answer!


    When posed to each entity (Carol/Ĥ.H)
    their respective question (a)/(b):
    (a) Carol correctly answer “no” to this [yes/no] question?
    (b) Does Ĥ ⟨Ĥ⟩ halt?
    lacks a correct answer because this answer is contradicted.

    (b) has a correct answer, which is "yes"


    When Ĥ gives that answer it is contradicted by Ĥ,
    thus it is the wrong answer.

    Right, which amits that there IS a correct answer.

    There is no logical requirement to the question, that H gets the right
    answer.



    *Incorrect questions do not lack answers they lack correct answers*
    Carol could answer by flipping the bird.




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