XPost: sci.logic, comp.theory, sci.math   
   From: polcott333@gmail.com   
      
   On 2/10/2026 3:06 AM, Mikko wrote:   
   > On 09/02/2026 17:36, olcott wrote:   
   >> On 2/9/2026 8:57 AM, Mikko wrote:   
   >>> On 07/02/2026 18:43, olcott wrote:   
   >>>>   
   >>>> Conventional logic and math have been paralyzed for   
   >>>> many decades by trying to force-fit semantically   
   >>>> ill-formed expressions into the box of True or False.   
   >>>   
   >>> Logic is not paralyzed. Separating semantics from inference rules   
   >>> ensures that semantic problems don't affect the study of proofs   
   >>> and provability.   
   >>   
   >> Then you end up with screwy stuff such as the psychotic   
   >> https://en.wikipedia.org/wiki/Principle_of_explosion   
   >   
   > That you call it psychotic does not make it less useful. Often an   
   > indirect proof is simpler than a direct one, and therefore more   
   > convincing. But without the principle of explosion it might be   
   > harder or even impossible to find one, depending on what there is   
   > instead.   
   >   
      
   Completely replacing the foundation of truth conditional   
   semantics with proof theoretic semantics then an expression   
   is "true on the basis of meaning expressed in language"   
   only to the extent that its meaning is entirely comprised   
   of its inferential relations to other expressions of that   
   language. AKA linguistic truth determined by semantic   
   entailment specified syntactically.   
      
   Well-founded proof-theoretic semantics reject expressions   
   lacking a "well-founded justification tree" as meaningless.   
   ∀x (~Provable(T, x) ⇔ Meaningless(T, x))   
      
   By combining the ideas from about seven papers together   
   we can derive: ∀x (Provable(x) ⇒ True(x))   
      
   Makes "true on the basis of meaning expressed in language"   
   reliably computable for the entire body of knowledge.   
      
      
   --   
   Copyright 2026 Olcott

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

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