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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: Formal systems that cannot possibly be incomplete except for
 unknowns and unknowable
Date: Wed, 7 May 2025 13:31:16 -0500
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On 5/7/2025 1:14 PM, Richard Heathfield wrote:
> On 07/05/2025 18:55, olcott wrote:
>> When THERE IS NO CONTRADICTION then proof by contradiction fails.
>> How do you not get that?
> 
> I do. You must be talking about the Olcott Problem again, because the 
> contradiction is inherent in the Halting Problem.
> 

Not when its terrible mistake is corrected.

> It starts with the assumption that a universal halt decider can be 
> written, and then shows that such a decider can be used to devise a 
> program that the 'universal' decider can't decide --- a contradiction.
> 
> But you already know all this.
> 

I already know that the contradictory part of the
counter-example input has always been unreachable code.

Thus PROOF BY CONTRADICTION FAILS because there never
was any actual contradiction. It has been a false assumption
that there has been a contradiction for 90 years.

If you have no idea what unreachable code is you won't
get this.

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