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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory,sci.logic
Subject: Re: Analytic Truth-makers
Date: Mon, 22 Jul 2024 19:11:44 -0500
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On 7/22/2024 7:01 PM, Richard Damon wrote:
> On 7/22/24 12:42 PM, olcott wrote:
>> I have focused on analytic truth-makers where an expression of 
>> language x is shown to be true in language L by a sequence of truth 
>> preserving operations from the semantic meaning of x in L to x in L.
>>
>> In rare cases such as the Goldbach conjecture this may require an 
>> infinite sequence of truth preserving operations thus making analytic 
>> knowledge a subset of analytic truth. 
>> https://en.wikipedia.org/wiki/Goldbach%27s_conjecture
>>
>> There are cases where there is no finite or infinite sequence of
>> truth preserving operations to x or ~x in L because x is self-
>> contradictory in L. In this case x is not a truth-bearer in L.
>>
>>
>>
> 
> So, now you ADMIT that Formal Logical systems can be "incomplete" 
> because there exist analytic truths in them that can not be proven with 
> an actual formal proof (which, by definition, must be finite).
> 

*No stupid I have never been saying anything like that*
If g and ~g is not provable in PA then g is not a truth-bearer in PA.

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