Sujet : Re: Mathematical incompleteness has always been a misconception --- Tarski
De : richard (at) *nospam* damon-family.org (Richard Damon)
Groupes : sci.logicDate : 09. Feb 2025, 18:04:33
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <3f1ed83042ed4a260d1a63ef7c61528ea9858947@i2pn2.org>
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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,
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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...
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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)
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.
We live in a yellow submarine, just yellower and yellower.
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-Julio
>