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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 262,411 of 262,912    |
|    Tristan Wibberley to Mike Terry    |
|    Re: have we been misusing incompleteness    |
|    06 Jan 26 08:39:31    |
      From: tristan.wibberley+netnews2@alumni.manchester.ac.uk              I think I understand your usage of syntactical and semantical so I've       understood what you were saying.                     On 05/01/2026 23:10, Mike Terry wrote:              > ... that is clearly "syntactic".       > ... syntactic or semantic concept?               I should note, on a technical matter of terminology:              Your description appears to be the related "abstract" vs "concrete"       dichotomy in which an "abstract" system is about nothing but thought       objects.              "syntactical" vs "semantical" seems to be another matter in which the       -al morpheme seems to have been used in a philosophical way to form       terms of art distinct from "syntactic" and "semantic". In Curry and Feys       Combinatory Logic 1, the type of system that is the foundation for       combinatory logic has been introduced as a "fully formalised" "abstract"       "semantical" "logistic" system, not "syntactical" even though it's more       about mere strings than anything I've seen, and that's even before       combinators have been formally introduced.                     --       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-DOS v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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