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

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   Message 262,646 of 262,912   
   Tristan Wibberley to Mikko   
   Re: The Halting Problem asks for too muc   
   21 Jan 26 13:46:02   
   
   From: tristan.wibberley+netnews2@alumni.manchester.ac.uk   
      
   On 20/01/2026 09:48, Mikko wrote:   
   > On 19/01/2026 17:00, Tristan Wibberley wrote:   
   >> On 19/01/2026 08:19, Mikko wrote:   
   >>> But the syntactic incompleteness is still there. Both G and ¬G are   
   >>> well-formed formulas of Peano arithmetic but neither is provable.   
   >>> The well-formed formula G ∨ ¬G is provable, and so is G → G.   
   >>   
   >> whose "or" operator are you talking about?   
   >   
   > The symbol ∨ above is a connective of ordinary logic.   
      
   I have the impression that we use a symbol that several authors have   
   used for subtly different concepts. Can you name a defining author whose   
   definition I should find freely on The Internet as the definition that   
   you rely on?   
      
   --   
   Tristan Wibberley   
      
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