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Topic: Induction is Wrong
Replies: 8   Last Post: Nov 30, 2012 5:55 PM

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Registered: 12/6/04
Re: Induction is Wrong
Posted: Nov 30, 2012 10:42 AM
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On Nov 30, 3:27 am, RussellE <> wrote:
> Andrew Boucher has developed a theory called General Arithmetic (GA):
> GA is a sub-theory of Peano Arithmetic (PA).
> If we add an induction axiom (IND) to the axioms of Ring Theory (RT)
> then
> GA is also a sub-theory of RT+IND.

This isn't true. The sentence ExAy(x+y!=0) is a theorem of GA, and it
is not consistent with RT.

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