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Re: AN ERROR IN PEANO ARITHMETIC! x X [ s Y ] [ + X Z ] < x X Y Z
Posted:
Nov 5, 2013 10:21 PM


On Tuesday, November 5, 2013 2:24:21 PM UTC8, Ben Bacarisse wrote: > grahamcooper7@gmail.com writes: > > That's too general, in my opinion. You need a funny representation that > > makes the question rather debatable  one could argue that the > > representation has done most of the work of the addition. >
OK, if FSMs could do Logs then maybe you'd have a reasonable objection.
Formally it's just a derivation, the impossible proof by contradiction is after the representation is decided, AFAIK.
But it's a strong result, formally you cannot even say ADDITION and MULTIPLICATION... substitute the term ADDITION for "ADDITION AS WE KNOW IT" and the proof holds bona fide!
Herc



