From: tristan.wibberley+netnews2@alumni.manchester.ac.uk   
      
   On 12/01/2026 01:38, olcott wrote:   
   > “The system adopts Proof-Theoretic Semantics: meaning is determined by   
   > inferential role, and truth is internal to the theory. A theory T is   
   > defined by a finite set of stipulated atomic statements together with   
   > all expressions derivable from them under the inference rules. The   
   > statements belonging to T constitute its theorems, and these are exactly   
   > the statements that are true-in-T.”   
   >   
   > “Gödel’s incompleteness theorems apply only to formal systems that are   
   > recursively axiomatizable and employ an external, model-theoretic notion   
   > of truth. The present framework does not require recursive   
   > axiomatizability and defines truth proof-theoretically as membership in   
   > the closure of the stipulated base. Because these assumptions fall   
   > outside the scope of Gödel’s theorems, the system can be both expressive   
   > enough for full arithmetic and complete with respect to its internal   
   > notion of truth.”   
      
      
   Are those also from Curry's 1977 foundations book that you have recently   
   quoted often?   
      
   --   
   Tristan Wibberley   
      
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    * Origin: you cannot sedate... all the things you hate (1:229/2)