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|    Message 262,043 of 262,912    |
|    olcott to Richard Damon    |
|    Re: How do halt deciders really work? --    |
|    20 Dec 25 13:22:22    |
   
   XPost: comp.theory, sci.math, comp.ai.philosophy   
   From: polcott333@gmail.com   
      
   On 12/20/2025 12:56 PM, Richard Damon wrote:   
   > On 12/20/25 9:54 AM, olcott wrote:   
   >> On 12/20/2025 8:41 AM, Richard Damon wrote:   
   >>> On 12/20/25 8:49 AM, olcott wrote:   
   >>>> On 12/20/2025 4:07 AM, Mikko wrote:   
   >>>>> On 20/12/2025 03:27, olcott wrote:   
   >>>>>> Deciders: Transform finite strings by finite   
   >>>>>> string transformation rules into {Accept, Reject}   
   >>>>>>   
   >>>>>> https://philpapers.org/archive/OLCDTF.pdf   
   >>>>>   
   >>>>> As there are no halt deciders they don't work at all.   
   >>>>>   
   >>>>   
   >>>> The above defines the generic notion of decider.   
   >>>> There are deciders.   
   >>>>   
   >>>   
   >>> But not Halt Deciders.   
   >>>   
   >>   
   >> When a halt decider is defined to exceed what   
   >> generic deciders can do then this definition   
   >> is incorrect.   
   >   
   > But it isn't. A Halt Decider needs to compute a result from the finite   
   > string.   
   >   
      
   Exactly.   
      
   Deciders: Transform finite strings by finite string   
   transformation rules into {Accept, Reject}.   
      
   > But, if the thing it needs to compute isn't computable, it can't exist.   
   >   
      
   When it is computable from the finite string yet   
   this result disagrees with the requirement then   
   the requirement is wrong.   
      
      
   --   
   Copyright 2025 Olcott
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