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From: Alan Mackenzie <acm@muc.de>
Newsgroups: comp.theory
Subject: Re: Formal systems that cannot possibly be incomplete except for unknowns and unknowable
Date: Mon, 5 May 2025 18:52:29 -0000 (UTC)
Organization: muc.de e.V.
Message-ID: <vvb1dd$1fho$3@news.muc.de>
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olcott <polcott333@gmail.com> wrote:
> On 5/5/2025 1:19 PM, Alan Mackenzie wrote:
>> olcott <polcott333@gmail.com> wrote:
>>> On 5/5/2025 11:05 AM, Alan Mackenzie wrote:
[ .... ]
>>>> Follow the details of the proof of G=C3=B6del's Incompleteness Theor=
em, and
>>>> apply them to your "system". That will give you your counter exampl=
e.
>>> My system does not do "provable" instead it does "provably true".
>> I don't know anything about your "system" and I don't care. If it's a
>> formal system with anything above minimal capabilities, G=C3=B6del's T=
heorem
>> applies to it, and the "system" will be incomplete (in G=C3=B6del's se=
nse).
> I reformulate the entire notion of "formal system"
> so that undecidability ceases to be possible.
Liar. That is impossible.
[ Irrelevant nonsense snipped. ]
> --=20
> Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
> hits a target no one else can see." Arthur Schopenhauer
--=20
Alan Mackenzie (Nuremberg, Germany).