Re: Mathematical incompleteness has always been a misconception --- Tarski

On 2/10/2025 8:19 PM, Ross Finlayson wrote:

On 02/09/2025 02:30 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:

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

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And, such a mapping can't exist if the language allows references like:
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x is defined to be !True(L, x)
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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.
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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.
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So, I guess you are admitting that to you "logic" can't handle
something like mathematics.
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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.
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All undecidable propositions fall into the ill-formed category
and logic is otherwise essentially unchanged.
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We live in a yellow submarine, just yellower and yellower.
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-Julio
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 The Comenius language that Comenius posits, is also
like Leibniz' universal language, which also he posits,
like Nietzsche's eternal text, which he bemoans its
absence, and like Quine in Word & Object, ignores.
 

On 2/8/2025 9:51 AM, Ross Finlayson wrote:
 > then there's a Comenius language of it that only
 > truisms are well-formed formulas,
I remember reading about this years ago and can no longer
find it. Do you have a specific reference to this Comenius
language of truisms?
--
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer