XPost: comp.theory, sci.math   
   From: tristan.wibberley+netnews2@alumni.manchester.ac.uk   
      
   On 04/01/2026 12:42, Richard Damon wrote:   
   > On 1/3/26 10:36 PM, olcott wrote:   
      
   >> We do now that all paradoxes resolve to nonsense.   
   >   
   > No, because the word "Paradox" just means an APPARENT contradiction.   
      
   No, it means an apparently valid apparent contradiction. But definitely   
   not nonsense because epithoretically there is structure and therefore   
   meaning.   
      
      
   > The Liar's Paradox gets resolved by seeing that the statement just   
   > doesn't have a Truth Value (Not all syntacticly valid statemente do) and   
   > thus isn't a Semantically valid statement, and the "Not" operator is   
   > being given an invalid value (or Not(not-a-truth-value) is just   
   > not-a-truth-value).   
      
   The term "lie" in the axioms of the system of the liar paradox invalidly   
   assigns the statement to the class of things deterministically having a   
   truth value (having exactly one truth value) when it can be deduced that   
   it is not a member of that class - that is the contradiction which is   
   actually present. I wonder if that is the proper characteristic of an   
   inconsistent system. I am interested to know of well-received works on   
   that matter in particular.   
      
   I qualify my use of "invalidly" above as being produced intuitively. I   
   reserve the right to be corrected shamelessly on nuanced technical grounds.   
      
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   Tristan Wibberley   
      
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