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

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   Message 262,424 of 262,912   
   olcott to Mikko   
   Re: The Halting Problem asks for too muc   
   08 Jan 26 08:22:22   
   
   XPost: comp.theory, sci.math, comp.lang.prolog   
   XPost: comp.software-eng   
   From: polcott333@gmail.com   
      
   On 1/8/2026 4:22 AM, Mikko wrote:   
   > On 07/01/2026 13:54, olcott wrote:   
   >> On 1/7/2026 5:49 AM, Mikko wrote:   
   >>> On 07/01/2026 06:44, olcott wrote:   
   >>>> All deciders essentially: Transform finite string   
   >>>> inputs by finite string transformation rules into   
   >>>> {Accept, Reject} values.   
   >>>>   
   >>>> The counter-example input to requires more than   
   >>>> can be derived from finite string transformation   
   >>>> rules applied to this specific input thus the   
   >>>> Halting Problem requires too much.   
   >>   
   >>> In a sense the halting problem asks too much: the problem is proven to   
   >>> be unsolvable. In another sense it asks too little: usually we want to   
   >>> know whether a method halts on every input, not just one.   
   >>>   
   >>> Although the halting problem is unsolvable, there are partial solutions   
   >>> to the halting problem. In particular, every counter-example to the   
   >>> full solution is correctly solved by some partial deciders.   
   >>   
   >> *if undecidability is correct then truth itself is broken*   
   >   
   > Depends on whether the word "truth" is interpeted in the standard   
   > sense or in Olcott's sense.   
   >   
      
   Undecidability is misconception. Self-contradictory   
   expressions are correctly rejected as semantically   
   incoherent thus form no undecidability or incompleteness.   
      
   --   
   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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