XPost: comp.theory, sci.math   
   From: tristan.wibberley+netnews2@alumni.manchester.ac.uk   
      
   On 03/01/2026 19:33, Richard Damon wrote:   
   > On 1/3/26 11:54 AM, Tristan Wibberley wrote:   
   >> On 02/01/2026 15:35, Richard Damon wrote:   
   >>   
   >>> No, meta-system is NOT "full up" as there are an infinite number of   
   >>> primes to use to define new objects.   
   >>   
   >> I understood from reading it that those were occupied for variables.   
   >   
   > or new terms, after all, we have an infinite number of them.   
   >   
   > In fact, I thought he talked about assigning a number for proven   
   > statements in the base system, so we could refer to them.   
      
   I missed that, it looked like they were taken for all naturals just for   
   an all the variables. I shall read that bit again.   
      
   > This is needed   
   > to create the lable of "G" in the meta, so we can refer to it as we   
   > build the proof checker, that at the end we finally know the "value" it   
   > represents.   
      
      
   And what number does it get? It should be expressible by the primitive   
   symbols of the system P and the conventional shorthands that he defines.   
      
   If he merely defines the liar paradox then his system is inconsistent,   
   either P, or the meta-system.   
      
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   Tristan Wibberley   
      
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