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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 261,879 of 262,912    |
|    olcott to Tristan Wibberley    |
|    Re: The correct foundation of the theory    |
|    13 Dec 25 13:50:57    |
      XPost: comp.theory, sci.math, comp.ai.philosophy       From: polcott333@gmail.com              On 12/13/2025 1:33 PM, Tristan Wibberley wrote:       > On 13/12/2025 16:44, olcott wrote:       >> At the most fundamental level:       >> All Turing machines only compute the mapping       >> from input finite strings to some value.       >>       >> Turing machine Deciders are a subset of this       >> where the value indicates accept or reject a       >> finite string by some criterion measure.       >       > I continue to reject the use of "accept" and "reject" here. And I also       > reject the use of "indicates" wrt to them.       >              My goal is to have accepted definitions as my only basis.              > There's no good reason to suppose this is about grammars and strings       > rather than propositions about programs. To the extent that they might       > be isomorphic you need to introduce the notion of grammars and string       > acceptance by them to give "accept" and "reject" and "indicates" the       > correct meaning.       >       >              This is a grammatically correct English sentence:       "flpm erf09-25k (*&j^*&NJ*&jkNef", reject.                     --       Copyright 2025 Olcott |
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