XPost: comp.theory, sci.math, comp.ai.philosophy   
   From: news.x.richarddamon@xoxy.net   
      
   On 1/24/26 9:21 AM, olcott wrote:   
   > We will not be able to have a productive   
   > conversation until you learn more about   
   > proof theory. I will look for some good   
   > references.   
      
   Yes, do so, and note that the concept of "Not Well Founded" isn't talked   
   about as a "Truth Value", because it will not be actually determinable   
   (in general) by Proof Theoretic Semantics since it is often not actually   
   provable in the system.   
      
   You will find that it (Proof Theory) just finds some statements outside   
   its ability to interpret a semantics for them. This happens for a number   
   of mathematical statements, where assuming a proof of them not being   
   well founded ends up proving them to be well founded and provides the   
   truth value for them.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)