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   sci.logic      Logic -- math, philosophy & computationa      262,912 messages   

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   Message 262,411 of 262,912   
   Tristan Wibberley to Mike Terry   
   Re: have we been misusing incompleteness   
   06 Jan 26 08:39:31   
   
   From: tristan.wibberley+netnews2@alumni.manchester.ac.uk   
      
   I think I understand your usage of syntactical and semantical so I've   
   understood what you were saying.   
      
      
   On 05/01/2026 23:10, Mike Terry wrote:   
      
   > ... that is clearly "syntactic".   
   > ... syntactic or semantic concept?    
      
   I should note, on a technical matter of terminology:   
      
   Your description appears to be the related "abstract" vs "concrete"   
   dichotomy in which an "abstract" system is about nothing but thought   
   objects.   
      
   "syntactical" vs "semantical" seems to be another matter in which the   
   -al morpheme seems to have been used in a philosophical way to form   
   terms of art distinct from "syntactic" and "semantic". In Curry and Feys   
   Combinatory Logic 1, the type of system that is the foundation for   
   combinatory logic has been introduced as a "fully formalised" "abstract"   
   "semantical" "logistic" system, not "syntactical" even though it's more   
   about mere strings than anything I've seen, and that's even before   
   combinators have been formally introduced.   
      
      
   --   
   Tristan Wibberley   
      
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   --- SoupGate-DOS v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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