XPost: comp.theory, sci.math   
   From: tristan.wibberley+netnews2@alumni.manchester.ac.uk   
      
   On 02/01/2026 03:33, olcott wrote:   
      
   > True in the base system essentially means   
   > a theorem of the base system.   
      
   No, but a lot of people might say "true in the base system" when they   
   ought to say "a theorem of the base system" which means there is a   
   derivation from the axioms of the formal system using only the deduction   
   rules of the formal system (which are restricted in what they can   
   possibly be).   
      
   "True" has such a variety of meanings that it should be avoided except   
   for when it describes the speaker's feelings about reality.   
      
      
   --   
   Tristan Wibberley   
      
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    * Origin: you cannot sedate... all the things you hate (1:229/2)