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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 262,528 of 262,912    |
|    Richard Damon to olcott    |
|    =?UTF-8?Q?Re=3A_Closing_the_gap_of_G=C3=    |
|    15 Jan 26 06:50:39    |
      XPost: comp.theory, sci.math, sci.lang       XPost: comp.ai.philosophy       From: news.x.richarddamon@xoxy.net              On 1/15/26 12:27 AM, olcott wrote:       > On 1/14/2026 9:44 PM, Richard Damon wrote:       >> On 1/14/26 5:11 PM, olcott wrote:       >>> On 1/14/2026 3:36 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.       >>>>       >>>       >>> Gödel and Turing incompleteness results expose the limits of       >>> denotational and truth-conditional semantics, not limits of proof or       >>> computation per se. When meaning is grounded operationally or proof-       >>> theoretically, the problematic self-referential constructions are       >>> rejected as semantically unfounded rather than treated as determinate       >>> but unknowable facts.       >>>       >>       >> The problem is that "Computation" relys on truth-conditional       >> semantics, as the behavior of a program *IS* what it actually does,       >> not what you can generically prove about it.       >>       >       > Proof in terms of the behavior of DD simulated by HHH.              Since your HHH doesn't correctly simulate DD, your "proof" is invalid.              Remember, DD is built on a SPEWCIFIC HHH, so you can't touch the code of       what is actually called HHH once you define it.              In other words, your arguement is just an admission of stupid lying.              >       >> I guess you are giving up on your idea of making "Truth Compuational",       >> as by your logic you can't imbue meaning to things, and thus you can't       >> actually write even a proof checker for a system, let alone a truth       >> checker.       >       >              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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