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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory,sci.logic
Subject: Re: Undecidability based on epistemological antinomies V2
Date: Thu, 18 Apr 2024 00:57:43 -0500
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On 4/17/2024 9:34 PM, olcott wrote:
"...14 Every epistemological antinomy can likewise be used for a similar 
undecidability proof..." (Gödel 1931:43-44)

is literally true whether or not Gödel meant it literally. Since it <is> 
literally true I am sure that he did mean it literally.

> *Parphrased as*
> Every expression X that cannot possibly be true or false proves that the
> formal system F cannot correctly determine whether X is true or false.
> Which shows that X is undecidable in F.
> 

It is easy to understand that self-contradictory mean unprovable and 
irrefutable, thus meeting the definition of Incomplete(F).

> Which shows that F is incomplete, even though X cannot possibly be a
> proposition in F because propositions must be true or false.
> 
> A proposition is a central concept in the philosophy of language,
> semantics, logic, and related fields, often characterized as the primary
> bearer of truth or falsity.
> https://en.wikipedia.org/wiki/Proposition
> 

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