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   sci.logic      Logic -- math, philosophy & computationa      262,912 messages   

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   Message 262,549 of 262,912   
   olcott to Tristan Wibberley   
   Re: Systems such as PA with proof-theore   
   15 Jan 26 19:18:36   
   
   XPost: sci.math, comp.theory, comp.ai.philosophy   
   From: polcott333@gmail.com   
      
   On 1/15/2026 6:47 PM, Tristan Wibberley wrote:   
   > On 16/01/2026 00:24, olcott wrote:   
   >> On 1/15/2026 5:10 PM, Tristan Wibberley wrote:   
   >>> I understand a schematic system is one whose deduction rules or,   
   >>> perhaps, inference rules (if there's a difference) are specified as   
   >>> axioms of the same system.   
   >>>   
   >>> 1. Can that be a syntactical system or a formal system just as well and   
   >>> still be called a schematic system?   
   >>>   
   >>> 2. Suppose it's a positive intuitionist system, what are the most   
   >>> notable things to consider vis-a-vis extensions?   
   >>>   
   >>   
   >> A formal system anchored in proof-theoretic semantics   
   >> with PA as its axioms expresses all of PA and is not   
   >> incomplete.   
   >   
   > Well done, have a cookie.   
   >   
      
   My system anchored in proof-theoretic semantics fulfills   
   My 28 year goal has been to make   
   "true on the basis of meaning expressed in language"   
   ALWAYS reliably computable.   
      
   --   
   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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