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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 262,709 of 262,912    |
|    olcott to olcott    |
|    Re: Well-founded proof theoretic semanti    |
|    24 Jan 26 12:20:04    |
      XPost: comp.theory, sci.math, sci.math.symbolic       From: polcott333@gmail.com              On 1/22/2026 11:25 AM, olcott wrote:       > Well-founded proof theoretic semantics where       > True(L, x) is anchored in provability from       > the axioms of formal system L seems to       > eliminate the undecidability that model       > theoretic semantics encounters when truth is       > measured from outside of the formal system in       > a separate model.       >              Gödel’s incompleteness theorem only “works” if       one smuggles in an external notion of truth       (truth in ℕ) and then pretends it is an       internal notion of truth (truth in PA).       If we refuse to make that identification,       incompleteness evaporates.              --       Copyright 2026 Olcott |
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