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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 262,317 of 262,912    |
|    olcott to Tristan Wibberley    |
|    Re: have we been misusing incompleteness    |
|    02 Jan 26 07:43:59    |
      XPost: comp.theory, sci.math       From: polcott333@gmail.com              On 1/1/2026 11:57 PM, Tristan Wibberley wrote:       > On 02/01/2026 03:33, olcott wrote:       >       >> True in the base system essentially means       >> a theorem of the base system.       >       > No, but a lot of people might say "true in the base system" when they       > ought to say "a theorem of the base system" which means there is a       > derivation from the axioms of the formal system using only the deduction       > rules of the formal system (which are restricted in what they can       > possibly be).       >              "true on the basis of meaning expressed in language"       Means true in the base system. That is the generic       way that truth has always worked long before math       was derived.              > "True" has such a variety of meanings that it should be avoided except       > for when it describes the speaker's feelings about reality.       >       >                     --       Copyright 2025 Olcott |
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