XPost: comp.theory, sci.math   
   From: tristan.wibberley+netnews2@alumni.manchester.ac.uk   
      
   On 03/01/2026 22:27, olcott wrote:   
   > On 1/3/2026 3:06 PM, Tristan Wibberley wrote:   
   >> On 03/01/2026 17:30, olcott wrote (quoting Curry):   
      
   >>> In other words: ∀x ∈ T ((True(T, x) ≡ (E ⊢ x))   
   >>   
   >> Curry would not approve of you formalising that without defining the   
   >> system in which you formalise it.   
   >   
   > You have to read my quote of Curry to see that he   
   > already defined {T} and {E}.   
      
   You forget the history of the posts of who you're talking to.   
      
      
   > {E} is merely my own notion of atomic facts,   
   > previously called base facts.   
      
   I think not. Elementary statements are those made from predicates   
   adjoining terms but not adjoining other statements. Your atomic facts   
   are nullary predicates, or unary predicates adjoined to primitive terms,   
   or binary predicates adjoining terms to some world (perhaps if the world   
   is represented by a term - we reach the limits of my ready   
   understanding), etc...   
      
      
   >>  His notions of U-language and   
   >> A-language and progressive refinement of the U-language were carefully   
   >> thought through leading to his incredible written lucidity, and the   
   >> immense benefit of reading his work carefully from the start.   
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        TAKE NOTE and also read his Theory of Formal Deducibility   
      
      
   --   
   Tristan Wibberley   
      
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   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-DOS v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)