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

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   Message 261,115 of 262,912   
   Tristan Wibberley to olcott   
   Re: The halting problem is merely the Li   
   21 Nov 25 01:14:49   
   
   XPost: comp.theory, comp.ai.philosophy, sci.math   
   From: tristan.wibberley+netnews2@alumni.manchester.ac.uk   
      
   On 17/11/2025 22:59, olcott wrote:   
      
   > Ultimately it is essentially the Liar Paradox in disguise.   
      
   Yes, it is, I'm pretty sure (I haven't gone through it in such detail to   
   satisfy all audiences).   
      
   It's roughly evaluation of the contradictory G (as defined by Olcott in   
   an inconsistent suppositional axiom extension) as opposed to judgement   
   of that defining axiom (where judgement would be evaluation in a   
   partiality monad instead of directly or in the identity monad).   
      
   Where we have the craziness of nonstrict evaluation such as in Haskell,   
   a partiality monad can be used for judgement and then used to construct   
   evaluation using the monad's catamorphism with a simple empty loop.   
      
      
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   Tristan Wibberley   
      
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