XPost: comp.theory, sci.logic, sci.math   
   From: tristan.wibberley+netnews2@alumni.manchester.ac.uk   
      
   On 20/11/2025 02:29, Kaz Kylheku wrote:   
   > On 2025-11-20, dart200  wrote:   
   >> a) you can construct halting paradoxes that contradicts multiple and   
   >> possibly even infinite deciders. certainly any finite set, after which   
   >   
   > This is not possible in general. The diagonal test case must make   
   > exactly one decision and then behave in a contradictory way: halt or   
   > not. If it interrogates as few as two deciders, it becomes intractable   
   > if their decisions differ: to contradict one is to agree with the other.   
      
   Their decisions (evaluations) don't differ when they both exist.   
      
      
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   Tristan Wibberley   
      
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