• Re: Mathematical incompleteness has always been a misconception --- Tar

    From Richard Damon@21:1/5 to olcott on Sun Feb 9 18:07:11 2025
    On 2/9/25 5:30 PM, olcott wrote:
    On 2/9/2025 11:04 AM, Richard Damon wrote:
    On 2/9/25 9:31 AM, olcott wrote:
    On 2/9/2025 1:18 AM, Julio Di Egidio wrote:
    On 08/02/2025 16:51, Ross Finlayson wrote:
    On 02/08/2025 07:32 AM, olcott wrote:

    (2) Semantics is fully integrated into every expression of
    language with each unique natural language sense meaning
    of a word having its own GUID.

    Illusion and the tyranny of delusion, ad nauseam.

    And I am finishing the job. I may have only one month left.
    The cancer treatment that I will have next month has a 5% chance
    of killing me and a 1% chance of ruining my brain. It also has
    about a 70% chance of giving me at least two more years of life.

    Food be your medicine, medicine be your food.  Conversely,
    good luck with any of that.

    Instead of just usual model theory and axiomatics
    and "what's true in the logical theory", "what's
    not falsified in the scientific theory", you can
    have a theory where the quantity is truth, and
    then there's a Comenius language of it that only
    truisms are well-formed formulas, then the Liar
    "paradox" is only a prototype of a fallacy,

    Rather, then there is no such thing as a "fallacy", only
    flat positivism and Newspeak.  Indeed, Popper already is
    yet another bad joke at best, but WTF would you know...


    In other words you did not understand what he said thus
    replied to his words with nonsense gibberish pure rhetoric
    with no actual basis in reasoning.

    there's a Comenius language of it that only
    truisms are well-formed formulas

    True(L,x) <is> a mathematical mapping from finite string
    expressions of language through a truthmaker to finite
    strings expressions providing formalized semantic meanings
    making the expression true.

    The prototype of a fallacy that he referred to is the
    recursive structure of pathological self-reference that
    never resolves to a truth value.

    And, such a mapping can't exist if the language allows references like:

    x is defined to be !True(L, x)


    When we frame it the succinct way that Ross framed it
    there's a Comenius language of it that only
    truisms are well-formed formulas

    Then the above expression is simply rejected as not
    a WFF of this Comenius language.

    As such a statement can't be mapped to True or False without also
    mapping True to False or False to True.

    Note, he shows that such a statement CAN be formed in logic system
    with certain minimal properties, like being able to express the
    Natural Numbers and their properties.

    So, I guess you are admitting that to you "logic" can't handle
    something like mathematics.


    The Comenius language expresses the key essence of the most
    important aspect of my idea, rejecting expressions that do
    not evaluate to Boolean as ill-formed. It only has TRUE
    and ill-formed. My system has TRUE, FALSE and ill-formed.

    All undecidable propositions fall into the ill-formed category
    and logic is otherwise essentially unchanged.


    We live in a yellow submarine, just yellower and yellower.

    -Julio







    Refuted to sci.logic.


    Ignoring your own follow-ups just shows you don't have a sense of
    integrity in your body.

    You are nothing but an IGNORANT PATHOLOGICAL LYING FRAUD that has no
    idea at all of what he is talking about.


    Refu

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