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|    comp.ai.philosophy    |    Perhaps we should ask SkyNet about this    |    59,235 messages    |
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|    Message 59,052 of 59,235    |
|    olcott to Richard Damon    |
|    =?UTF-8?Q?Re=3A_Closing_the_gap_of_G=C3=    |
|    15 Jan 26 17:45:29    |
      XPost: comp.theory, sci.logic, sci.math       XPost: sci.lang       From: polcott333@gmail.com              On 1/15/2026 5:50 AM, Richard Damon wrote:       > On 1/15/26 12:30 AM, olcott wrote:       >> On 1/14/2026 9:44 PM, Richard Damon wrote:       >>> On 1/14/26 4:36 PM, olcott wrote:       >>>> Interpreting incompleteness as a gap between mathematical truth and       >>>> proof depends on truth-conditional semantics; once this is replaced       >>>> by proof-theoretic semantics a framework not yet sufficiently       >>>> developed at the time of Gödel’s proof the notion of such a gap       >>>> becomes unfounded.       >>>>       >>>       >>> But that isn't what Incompleteness is about, so you are just showing       >>> your ignorance of the meaning of words.       >>>       >>> You can't just "change" the meaning of truth in a system.       >>>       >>       >> Yet that is what happens when you replace the foundational basis       >> from truth-conditional semantics to proof-theoretic semantics.       >       > Which isn't allowed.       >       > You don't seem to understand that "changing the basis" means you have a       > different system.       >              Yes just like you always said that I needed.       A formal system such that       "true on the basis of meaning expressed in language"       is always reliably computable.                     --       Copyright 2026 Olcott |
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