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From: Charlie-Boo on 30 May 2010 08:45 Everyone including Martin Davis (his anthology) says that Rosser 1936 can't be extended because an inconsistent system proves everything and so is complete (in a very bad way.) But Turing 1937 includes a derivation of Rosser 1936. So what are the possibilities? 1. Turing 1937 is equivalent to Rosser 1936. 2. Martin Davis and everybody else are wrong. 3. They need to more closely examine the notion of extending a theorem. 4. What? C-B |