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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 262,460 of 262,912    |
|    Tristan Wibberley to Richard Damon    |
|    Re: The Halting Problem asks for too muc    |
|    11 Jan 26 07:09:09    |
      From: tristan.wibberley+netnews2@alumni.manchester.ac.uk              On 10/01/2026 23:19, Richard Damon wrote:       > On 1/10/26 10:47 AM, olcott wrote:              >> Requiring the impossible is always an error.       >> Requiring an answer to a yes/no question that has no correct yes/no       >> answer is an incorrect question that must be rejected.       >       > But then, insisting that things are possilbe to ask the question is an        ^^^^^^^^       "Possible" has a very strict technical meaning in modal logic, which is       dominant. Best to pick a different term.                     > Thus, your logic only allows that asking of questions you already know       > that an answer exists.              Yes, that's correct. It's different from conversation in which the       non-existence contingency is implied, in formal logic, generally, you       ask something akin to:              Exactly if a correct answer exists what is the answer to ...?              Unless you already know that a correct answer exists or you have       formulated your logic so you do not need to (and so restricted your       logic so you can't ask some things or else the question must be posed in       a wildly unintuitive and complicated fashion - which might be important       for some applications).              Of course, we have to use the (Gödel's, IIRC) technical meaning of       "existence".              --       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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