From: tristan.wibberley+netnews2@alumni.manchester.ac.uk   
      
   On 22/01/2026 12:42, Richard Damon wrote:   
   > But your "not-well-founded" isn't a REcOGNIZER, it is a PREDICATE, which   
   > ALWAYS needs to return a value.   
      
   or it's an operation if it forms an object from an object instead of   
   forming a statement from an object.   
      
   neither a predicate nor an object "return's" a value, that is reserved   
   for procedures (in which "setting" a value is often called "returning"   
   especially when a function-like syntax is used) and for functions (such   
   as propositional functions) though the latter seems to me to be an   
   improper use of the word, perhaps derived from the misuse of the name   
   "function" for procedures.   
      
   The odd thing I haven't got my head round is why a predicate calculus is   
   called that when it looks like an operation calculus, especially when   
   second-order calculuses are treated so similarly to first-order   
   calculuses yet some functors are treated as objects in second-order   
   calculuses.   
      
   --   
   Tristan Wibberley   
      
   The message body is Copyright (C) 2026 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)