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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

              My 28 year goal has been to make
       "true on the basis of meaning expressed in language"
       reliably computable.

              This required establishing a new foundation
              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)   

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