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From: olcott <polcott333@gmail.com>
Newsgroups: sci.logic,comp.theory
Subject: Re: Undecidability based on epistemological antinomies V2 --Tarski
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Date: Sat, 20 Apr 2024 10:20:05 -0500
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On 4/20/2024 2:54 AM, Mikko wrote:
> On 2024-04-19 18:04:48 +0000, olcott said:
> 
>> When we create a three-valued logic system that has these
>> three values: {True, False, Nonsense}
>> https://en.wikipedia.org/wiki/Three-valued_logic
> 
> Such three valued logic has the problem that a tautology of the
> ordinary propositional logic cannot be trusted to be true. For
> example, in ordinary logic A ∨ ¬A is always true. This means that
> some ordinary proofs of ordinary theorems are no longer valid and
> you need to accept the possibility that a theory that is complete
> in ordinary logic is incomplete in your logic.
> 

I only used three-valued logic as a teaching device. Whenever an
expression of language has the value of {Nonsense} then it is
rejected and not allowed to be used in any logical operations. It
is basically invalid input.

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