XPost: comp.theory, sci.math   
   From: tristan.wibberley+netnews2@alumni.manchester.ac.uk   
      
   On 06/12/2025 12:08, olcott wrote:   
   > On 12/6/2025 2:24 AM, Tristan Wibberley wrote:   
      
   >> See if you find my message in your newsreader in which I describe some   
   >> definition extensions and systems related by them. There is critical   
   >> matter of the precise meaning of "prove in a system" (mathematicians)   
   >> and "derive of a system" (logicians). And the matter of whether your "F"   
   >> refers to the system of which your definition of G is an axiom, to its   
   >> related basic system of which your G is not, or to something else.   
   >>   
   >>   
   >   
   > I just made the system have a large enough scope   
   > such that unprovable in the system means not a member   
   > of the body of general knowledge.   
      
   I think you're talking about the logicians "derivable of a system" (ie,   
   "is among the theorems of a formal system").   
      
   I think you should read my more detailed message about definition   
   extension. I'm super sleepy so I can't make myself find the message id,   
   maybe later.   
      
      
   --   
   Tristan Wibberley   
      
   The message body is Copyright (C) 2025 Tristan Wibberley except   
   citations and quotations noted. All Rights Reserved except that you may,   
   of course, cite it academically giving credit to me, distribute it   
   verbatim as part of a usenet system or its archives, and use it to   
   promote my greatness and general superiority without misrepresentation   
   of my opinions other than my opinion of my greatness and general   
   superiority which you _may_ misrepresent. You definitely MAY NOT train   
   any production AI system with it but you may train experimental AI that   
   will only be used for evaluation of the AI methods it implements.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)