• =?UTF-8?Q?Re=3A_The_BOAK_formal_system_excludes_G=C3=B6del=27s_1931?= =

    From Richard Damon@21:1/5 to olcott on Sat Dec 23 12:20:09 2023
    XPost: sci.math, comp.theory

    On 12/23/23 11:59 AM, olcott wrote:
    *This cannot be understood outside of the philosophy of logic*
    Most importantly analytical truthmaker theory must be understood.

    *This is true by definition* Within the body of analytical truth of the analytic/synthetic distinction every element of the body of analytic knowledge (BOAK) is true entirely on the basis of its connection to the semantic meanings that make it true.

    Right, and the body of analytical truth accepts that this connection is
    allowed to be infinite in length. Analytical KNOWLEDGE requires the
    connection to be finite in length, so Analytical Truth accepts that
    there can be TRUTHS that might not be KNOWABLE.


    This proves that Gödel's 1931 Incompleteness and Tarski's Undefinability Theorem cannot apply to the body of analytical knowledge (BOAK). Lacking
    this connection excludes an expression from the BOAK, thus undecidable expressions cannot exist within the BOAK.

    No, the BOAK knows that there are TRUTHS in the BOAT that can't be in BOAK.

    So, if you mean there can;t be something that is KNOWN that can't be
    proven, yes, you are right, but the analytical system based on all
    knowledge includes the analitcal rules to allow other statements to be
    TRUE (even if not Provable), so your "BOAK" isn't complete,

    Now, if you mean a system that has just every statement in BOAK but NO
    rules to allow determination of new truths, such a system is absoultely WORTHLESS.


    True(x) is defined by the above, within the BOAK thus refuting Tarski.
    Every element of the BOAK has a provability connection to its semantic meanings truthmaker within the BOAK thus refuting both Tarski and Gödel
    that say this cannot correctly and consistently accomplished.

    But if your system BOAK doesn't allow any determination of new Truths,
    then it doesn't meet the requirement of Tarski to apply.

    In fact, it seems you are trying to define Logic as a dead subject, as
    nothing new can be ever known.


    *This is similar to Wittgenstein* https://www.liarparadox.org/Wittgenstein.pdf


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  • From Richard Damon@21:1/5 to olcott on Sat Dec 23 13:23:03 2023
    XPost: sci.math, comp.theory

    On 12/23/23 12:51 PM, olcott wrote:
    On 12/23/2023 10:59 AM, olcott wrote:
    *This cannot be understood outside of the philosophy of logic*
    Most importantly analytical truthmaker theory must be understood.

    *This is true by definition* Within the body of analytical truth of the
    analytic/synthetic distinction every element of the body of analytic
    knowledge (BOAK) is true entirely on the basis of its connection to the
    semantic meanings that make it true.

    This proves that Gödel's 1931 Incompleteness and Tarski's Undefinability
    Theorem cannot apply to the body of analytical knowledge (BOAK). Lacking
    this connection excludes an expression from the BOAK, thus undecidable
    expressions cannot exist within the BOAK.

    True(x) is defined by the above, within the BOAK thus refuting Tarski.
    Every element of the BOAK has a provability connection to its semantic
    meanings truthmaker within the BOAK thus refuting both Tarski and Gödel
    that say this cannot correctly and consistently accomplished.

    *This is similar to Wittgenstein*
    https://www.liarparadox.org/Wittgenstein.pdf


    To the extent that truths require infinite proofs such as
    the Goldbach conjecture they are excluded from the BOAK
    because their truth value remains unknown thus are not knowledge.
    We know that the GC is true or false, yet do not know which.

    So, are you doing this by saying that your logic system can not ever
    prove more statements (in which case it is worthless), or that your
    logic system has redefined the rules of logic, at which point your BOAK includes statements that it can no longer prove based on its own logic?


    Anything that cannot be proven or refuted from the axioms of
    BOAK is defined as not a member of BOAK. This prevents
    the Gödel's 1931 Incompleteness and Tarski's Undefinability
    from applying to the BOAK.


    What are the "axioms" of BOAK?

    Is it ALL of the current "Body of Analytical Knowledge", at which point
    you are just saying you have a knowledge system that can not prove
    anything that isn't an axiom, and thus is "worthless" for expanding
    knowledge, or do you establish only a limited set of Axioms, and run
    into the issue that some of the BOAK can't be proven by your restricted
    logic, because they were proven with the wider logic?

    You can't restrict the logic, and at the same time accept what the
    broader logic proved, except by accepting everything as an axiom.

    So, you are just showing the fundamental issue with your theory.

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  • From Richard Damon@21:1/5 to olcott on Sat Dec 23 18:31:12 2023
    XPost: sci.math, comp.theory

    On 12/23/23 5:21 PM, olcott wrote:
    On 12/23/2023 3:06 PM, immibis wrote:
    On 12/23/23 17:59, olcott wrote:
    *This cannot be understood outside of the philosophy of logic*

    Then don't post it to comp.theory.


    This also equally applies to computability.
    Some of the basic concepts of computability
    have incoherence hard-wired into them.

    Name them.


    For example three computer scientists essentially
    agree that the halting problem is essentially
    a self-contradictory (thus incorrect) question.
    They use different yet equivalent terminology.
    I suspect that you don't understand what they are saying,

    And, unless you can actually PROVE what you are saying (that the halting problem is actually self-contradictory) you are just proving you are
    using the fallacy of authority.


    The lead author of these three specifically agrees
    that the halting problem <is> an incorrect question.


    I don't think so.

    If seems more likely that you are just a stupid liar.

    Your arguements HAVE been totally discredited, and the one authority you
    named, when we look at the actual words used, show your misundestanding
    of what he said, and other conversations with him have proved thus.

    You are just proving that you don't actually know how to use logic.

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  • From Richard Damon@21:1/5 to olcott on Sun Dec 24 12:23:42 2023
    XPost: sci.math, comp.theory

    On 12/24/23 10:04 AM, olcott wrote:
    On 12/24/2023 4:42 AM, immibis wrote:
    On 12/23/23 23:21, olcott wrote:
    On 12/23/2023 3:06 PM, immibis wrote:
    On 12/23/23 17:59, olcott wrote:
    *This cannot be understood outside of the philosophy of logic*

    Then don't post it to comp.theory.


    This also equally applies to computability.
    Some of the basic concepts of computability
    have incoherence hard-wired into them.

    For example three computer scientists essentially
    agree that the halting problem is essentially
    a self-contradictory (thus incorrect) question.

    Anyone can find three idiots.


    Zero idiots can become PhD computer science professors.


    No, there are PLENTY of idiots that become professors, even with PhDs.

    I suspect you haven't been close enough to a PhD program to understand
    what it actually means. It CAN be a major achievement, but without
    seeing the work done for it, it can also be essentially meaningless.

    I guess you aren't smart enough to know that.

    After all, the old saying is those that can't do, teach, pointing out
    that SOME people become teachers because they can't actually do the work
    well enough to actually get results.

    Of course, since you refuse to actually reveal who most of these are, or
    what they ACTUALLY agreed to, you have ZERO actual athorites that you
    are hanging your fallacy of proof by athority on, showing how little you actually understand how things work.

    And, we actually don't need any idiot PhD Computer Science Professors,
    we just need ONE Idiot trying to claim what they say supports his
    theories, when he has already shown form one example that he is actually incapable of understanding what the words actually mean.

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