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From: olcott <polcott333@gmail.com>
Newsgroups: sci.logic
Subject: Re: The key undecidable instance that I know about --- Truth-bearers
 ONLY
Date: Tue, 11 Mar 2025 18:12:33 -0500
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On 3/11/2025 6:12 AM, Richard Damon wrote:
> On 3/10/25 10:39 PM, olcott wrote:
>> On 3/10/2025 9:21 PM, Richard Damon wrote:
>>> On 3/10/25 9:45 PM, olcott wrote:
>>>> On 3/10/2025 5:45 PM, Richard Damon wrote:
>>>>> On 3/9/25 11:39 PM, olcott wrote:
>>>>>>
>>>>>> LP := ~True(LP)  DOES SPECIFY INFINITE RECURSION.
>>>>>
>>>>> WHich is irrelevent, as that isn't the statement in view, only what 
>>>>> could be shown to be a meaning of the actual statement.
>>>>>
>>>>
>>>> The Liar Paradox PROPERLY FORMALIZED <is> Infinitely recursive
>>>> thus semantically incorrect.
>>>
>>> But is irrelevent to your arguement.
>>>
>>>
>>>>
>>>> "It would then be possible to reconstruct the antinomy of the liar
>>>>   in the metalanguage, by forming in the language itself a sentence"
>>>
>>> Right, the "Liar" is in the METALANGUAGE, not the LANGUAGE where the 
>>> predicate is defined.
>>>
>>> You are just showing you don't understand the concept of Metalanguage.
>>>
>>>>
>>>> Thus anchoring his whole proof in the Liar Paradox even if
>>>> you do not understand the term "metalanguage" well enough
>>>> to know this.
>>>
>>> Yes, there is a connection to the liar's paradox, and that is that he 
>>> shows that the presumed existance of a Truth Predicate forces the 
>>> logic system to have to resolve the liar's paradox.
>>>
>>
>> bool True(X)
>> {
>>    if (~unify_with_occurs_check(X))
>>      return false;
>>    else if (~Truth_Bearer(X))
>>     return false;
>>    else
>>     return IsTrue(X);
>> }
>>
>> LP := ~True(LP)
>> True(LP) resolves to false.
>> True(~LP) resolves to false.
>>
>> X = "A box of rocks"
>> True(X) resolves to false.
>> True(~X) resolves to false.
>>
>>
> 
> Not the system that Tarski is using.
> 
> 

*That is 100% of his complete error*

-- 
Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer