• Re: Concise refutation of halting problem proofs V63 [ Linz Proof ][ Be

    From olcott@21:1/5 to Ben Bacarisse on Mon Feb 28 11:59:59 2022
    XPost: comp.theory, sci.logic, sci.math

    On 2/28/2022 11:31 AM, Ben Bacarisse wrote:
    olcott <NoOne@NoWhere.com> writes:

    On 2/28/2022 8:50 AM, Ben Bacarisse wrote:
    olcott <polcott2@gmail.com> writes:

    Even Linz was confused by this. embedded_H is not supposed to report
    on itself or the computation that it is contained within.
    No one thinks it should. You don't know what Linz says even after all
    these years. If you want to know what Linz says, I am open to pertinent >>> questions on the topic.

    You for one have insisted that it should as your primary rebuttal to
    my work for six straight months.

    Quote please. You have a long track record of misunderstanding the points put to you.

    My "primary rebuttal" comes from your own claim that false is the
    correct answer despite the fact that computation represented halts,
    i.e. that you are not addressing the halting problem.


    See there you go, you are asserting that the fact that Ĥ ⟨Ĥ⟩ halts contradicts that fact that embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ correctly determines that
    its input never halts.

    Ĥ ⟨Ĥ⟩ is the computation that contains embedded_H and embedded_H is not supposed to determine the halt status of itself or the computation that contains it.

    Because halt deciders are deciders they only compute the mapping from
    their inputs to an accept or reject state. Because Ĥ ⟨Ĥ⟩ is not an
    actual input to embedded_H it is out-of-scope for embedded_H.

    --
    Copyright 2021 Pete Olcott

    Talent hits a target no one else can hit;
    Genius hits a target no one else can see.
    Arthur Schopenhauer

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  • From olcott@21:1/5 to Ben Bacarisse on Mon Feb 28 21:52:45 2022
    XPost: comp.theory, sci.logic, sci.math

    On 2/28/2022 8:47 PM, Ben Bacarisse wrote:
    olcott <NoOne@NoWhere.com> writes:

    On 2/28/2022 11:31 AM, Ben Bacarisse wrote:

    My "primary rebuttal" comes from your own claim that false is the
    correct answer despite the fact that computation represented halts,
    i.e. that you are not addressing the halting problem.

    See there you go, you are asserting that the fact that Ĥ ⟨Ĥ⟩ halts
    contradicts that fact that embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ correctly determines >> that its input never halts.

    I am asserting that /you/ state that false is the right answer for a
    string representing a halting computation. Here you are when you were prepared to be clear about it:

    Me: Here's the key question: do you still assert that H(P,P) == false
    is the "correct" answer
    You: Yes that is the correct answer even though P(P) halts.

    Have you changed your mind?

    It's a simple question -- asking if you have changed your mind -- but
    one you simply can't answer. If you acknowledge that false is never the right answer for a halting computation you have nothing. And if you
    don't, you confirm again that you are just talking about something other
    than the halting problem.

    You absolutely must sit on the fence, hence these extraordinary quotes
    from you:

    Me: If your H has any pretensions of being a halt decider, it should
    accept that string: H.q0 <H^><H^> |- H.qy
    You: I have already said that a bunch of times yet you did not notice

    Me: You agree that H.q0 ⟨Ĥ⟩ ⟨Ĥ⟩ should transition to H.qy
    You: I never said anything like that so I am stopping at your first fib.

    Top quality fence sitting there. And then there's top quality evasion
    as well. After you stated that

    "⟨Ĥ⟩ ⟨Ĥ⟩ is not a string that encodes a halting computation"

    I asked, again and again (12 times, in fact) "What string encodes the
    halting computation of Ĥ applied ⟨Ĥ⟩?". You just didn't answer. How could you without the game being up?

    You have made this "alternate criterion" quite clear for months now, and
    I will continue to remind readers about it until you repudiate it.


    You have side stepped all of my points.
    I proved that you are wrong and your rebuttal is to change the subject.

    --
    Copyright 2021 Pete Olcott "Talent hits a target no one else can hit;
    Genius hits a target no one else can see." Arthur Schopenhauer

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  • From olcott@21:1/5 to Ben Bacarisse on Mon Feb 28 22:21:44 2022
    XPost: comp.theory, sci.logic, sci.math

    On 2/28/2022 10:01 PM, Ben Bacarisse wrote:
    olcott <polcott2@gmail.com> writes:

    On 2/28/2022 8:47 PM, Ben Bacarisse wrote:
    olcott <NoOne@NoWhere.com> writes:

    On 2/28/2022 11:31 AM, Ben Bacarisse wrote:

    My "primary rebuttal" comes from your own claim that false is the
    correct answer despite the fact that computation represented halts,
    i.e. that you are not addressing the halting problem.

    See there you go, you are asserting that the fact that Ĥ ⟨Ĥ⟩ halts >>>> contradicts that fact that embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ correctly determines
    that its input never halts.
    I am asserting that /you/ state that false is the right answer for a
    string representing a halting computation. Here you are when you were
    prepared to be clear about it:
    Me: Here's the key question: do you still assert that H(P,P) == false >>> is the "correct" answer
    You: Yes that is the correct answer even though P(P) halts.
    Have you changed your mind?
    It's a simple question -- asking if you have changed your mind -- but
    one you simply can't answer. If you acknowledge that false is never the >>> right answer for a halting computation you have nothing. And if you
    don't, you confirm again that you are just talking about something other >>> than the halting problem.
    You absolutely must sit on the fence, hence these extraordinary quotes
    from you:
    Me: If your H has any pretensions of being a halt decider, it should >>> accept that string: H.q0 <H^><H^> |- H.qy
    You: I have already said that a bunch of times yet you did not notice >>> Me: You agree that H.q0 ⟨Ĥ⟩ ⟨Ĥ⟩ should transition to H.qy
    You: I never said anything like that so I am stopping at your first fib.
    Top quality fence sitting there. And then there's top quality evasion
    as well. After you stated that
    "⟨Ĥ⟩ ⟨Ĥ⟩ is not a string that encodes a halting computation" >>> I asked, again and again (12 times, in fact) "What string encodes the
    halting computation of Ĥ applied ⟨Ĥ⟩?". You just didn't answer. How >>> could you without the game being up?
    You have made this "alternate criterion" quite clear for months now, and >>> I will continue to remind readers about it until you repudiate it.

    You have side stepped all of my points.

    You must avoid, at all costs, any discussion of your big mistake: that
    false (or reject) is declared to be the correct answer for at least one halting computation.


    If you want to go back to my first reply to you that says [ Ben's
    mistake ] and discuss these issues point-by-point that would show that
    you want an honest dialogue.

    I proved that you are wrong and your rebuttal is to change the
    subject.

    Since I was quoting your words: "Yes that is the correct answer even
    though P(P) halts" I don't know what you think I was wrong about.

    Anyway, you have, as yo always do, passed up another opportunity to
    correct this huge mistake. You have not changed tour mind. You are not talking about the halting problem.




    --
    Copyright 2021 Pete Olcott "Talent hits a target no one else can hit;
    Genius hits a target no one else can see." Arthur Schopenhauer

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