XPost: comp.theory, comp.lang.prolog, sci.math   
   From: polcott333@gmail.com   
      
   On 12/22/2025 11:23 AM, Richard Damon wrote:   
   > On 12/22/25 12:19 PM, olcott wrote:   
   >> On 12/22/2025 11:11 AM, Mikko wrote:   
   >>> On 22/12/2025 18:39, olcott wrote:   
   >>>   
   >>>> % This sentence is not true.   
   >>>>   ?- LP = not(true(LP)).   
   >>>> LP = not(true(LP)).   
   >>>   
   >>> The Prolog implementation's opinion is that it is true.   
   >>>   
   >>   
   >> % This sentence is not true.   
   >>   ?- LP = not(true(LP)).   
   >> LP = not(true(LP)).   
   >> ?- unify_with_occurs_check(LP, not(true(LP))).   
   >> false.   
   >>   
   >> By erasing the last line you seem to be dishonest   
   >> was that your intention?   
   >>   
   >> Also you do not seem to understand exactly   
   >> what unify_with_occurs_check() means even   
   >> when I quoted Clocksin & Mellish on this.   
   >>   
   >   
   > It means that the input sentence didn't obey Prologs non-recursvie nature.   
   >   
      
   No that is not what it means.   
   It means that the evaluation of LP is stuck   
   in infinite recursion. LLMs are smart enough   
   to immediately see this.   
      
   > That works for the Liar Paradox, but not for the Halting Problem, as P   
   > include a copy of the algorithm of H, not a reference to the name H.   
   >   
   > All yoy are doing is pointing out that your logic system is too weak to   
   > handle the problem you are talking about and blaiming it for using   
   > something you don't understand how to do.   
      
   H(P) essentially performs unify_with_occurs_check()   
   on P, yet H is smart enough to see this and reject   
   P as non-halting.   
      
   --   
   Copyright 2025 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)