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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 262,386 of 262,912    |
|    Tristan Wibberley to Richard Damon    |
|    Re: have we been misusing incompleteness    |
|    05 Jan 26 07:53:44    |
      XPost: comp.theory, sci.math       From: tristan.wibberley+netnews2@alumni.manchester.ac.uk              On 03/01/2026 21:54, Richard Damon wrote:       > On 1/3/26 3:55 PM, Tristan Wibberley wrote:              >> I would like to see Richard's construction of the statement for which G       >> is shorthand. As it is mere shorthand then there is such a thing.       >       > G is the statement       >       > There does not exist a natural number (g) that satisfies the       > relationship ...       >       > Where the ... is the incredibly complicated formula that he derives       > thorough most of the paper,              Failing the actual construction, a demonstration that the statement has       a construction (therefore is finite *and* is a statement of the system)       will satisfy my immediate curiosity. I believe Gödel called this       "existence", formally.              > that can't be expressed in simple ascii.              Yes, he uses Π and material implication "hook", doesn't he? There are       straightforward UTF-8 re-presentations that will do.              --       Tristan Wibberley              The message body is Copyright (C) 2025 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-DOS v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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