Re: This is how I overturn the Tarski Undefinability theorem

On 9/1/2024 7:52 AM, Mikko wrote:

On 2024-08-31 18:48:18 +0000, olcott said:
 

*This is how I overturn the Tarski Undefinability theorem*
An analytic expression of language is any expression of formal or natural language that can be proven true or false entirely on the basis of a connection to its semantic meaning in this same language.
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This connection must be through a sequence of truth preserving operations from expression x of language L to meaning M in L. A lack of such connection from x or ~x in L is construed as x is not a truth bearer in L.
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Tarski's Liar Paradox from page 248
    It would then be possible to reconstruct the antinomy of the liar
    in the metalanguage, by forming in the language itself a sentence
    x such that the sentence of the metalanguage which is correlated
    with x asserts that x is not a true sentence.
    https://liarparadox.org/Tarski_247_248.pdf
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Formalized as:
x ∉ True if and only if p
where the symbol 'p' represents the whole sentence x
https://liarparadox.org/Tarski_275_276.pdf
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*Formalized as Prolog*
?- LP = not(true(LP)).
LP = not(true(LP)).

 According to Prolog semantics "false" would also be a correct
response.
 

?- unify_with_occurs_check(LP, not(true(LP))).
false.

 To the extend Prolog formalizes anything, that only formalizes
the condept of self-reference. I does not say anything about
int.
 

When formalized as Prolog unify_with_occurs_check()
detects a cycle in the directed graph of the evaluation
sequence proving the LP is not a truth bearer.

 Prolog does not say anything about truth-bearers.
 

It may seem that way if you have no idea what
(a) a directed is
(b) what cycles in a directed graph are
(c) What an evaluation sequence is
If you do know these things then Prolog proved that LP
has no truth-maker and thus cannot be a truth-bearer.

The purpose of this work was to show that algorithmic
undecidability is a misconception providing more details
than Wittgenstein's rebuttal of Gödel.

 Which it didn't show.
 

I showed it to everyone knowing (a)(b)(c)

https://www.liarparadox.org/Wittgenstein.pdf

 

--
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer