XPost: comp.theory, sci.math   
   From: tristan.wibberley+netnews2@alumni.manchester.ac.uk   
      
   On 01/01/2026 23:48, Richard Damon wrote:   
   > On 1/1/26 6:13 PM, Tristan Wibberley wrote:   
   >> On 01/01/2026 22:40, Richard Damon wrote:   
   >>   
   >>> But it IS a theorem of the base system, as it uses ONLY the mathematical   
   >>> operations definable in the base system. What makes you think it isn't a   
   >>> Theorem in the base system.   
   >>   
   >> It has no derivation in the base system, if it had you wouldn't think   
   >> the base system were incomplete.   
   >>   
   >   
   > It has no PROOF in the base system.   
   >   
   > The statement is surely a statement in the base system.   
   >   
   > It is shown to be true there, by a proof in the meta-system.   
   >   
   > I think you are confused about what you talk about.   
      
   No you're confused. You think its a theorem when its merely a statement.   
      
      
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   Tristan Wibberley   
      
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