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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory,sci.logic
Subject: Undecidability based on epistemological antinomies V2
Date: Wed, 17 Apr 2024 21:34:56 -0500
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....14 Every epistemological antinomy can likewise be used for a similar
undecidability proof...(Gödel 1931:43-44)

*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.

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