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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 262,646 of 262,912    |
|    Tristan Wibberley to Mikko    |
|    Re: The Halting Problem asks for too muc    |
|    21 Jan 26 13:46:02    |
      From: tristan.wibberley+netnews2@alumni.manchester.ac.uk              On 20/01/2026 09:48, Mikko wrote:       > On 19/01/2026 17:00, Tristan Wibberley wrote:       >> On 19/01/2026 08:19, Mikko wrote:       >>> But the syntactic incompleteness is still there. Both G and ¬G are       >>> well-formed formulas of Peano arithmetic but neither is provable.       >>> The well-formed formula G ∨ ¬G is provable, and so is G → G.       >>       >> whose "or" operator are you talking about?       >       > The symbol ∨ above is a connective of ordinary logic.              I have the impression that we use a symbol that several authors have       used for subtly different concepts. Can you name a defining author whose       definition I should find freely on The Internet as the definition that       you rely on?              --       Tristan Wibberley              The message body is Copyright (C) 2026 Tristan Wibberley except       citations and quotations noted. All Rights Reserved except that you may,       of course, cite it academically giving credit to me, distribute it       verbatim as part of a usenet system or its archives, and use it to       promote my greatness and general superiority without misrepresentation       of my opinions other than my opinion of my greatness and general       superiority which you _may_ misrepresent. You definitely MAY NOT train       any production AI system with it but you may train experimental AI that       will only be used for evaluation of the AI methods it implements.              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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