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Topic: Need help deriving Peano Axioms from the reals
Replies: 7   Last Post: May 31, 2012 12:12 PM

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David Hartley

Posts: 463
Registered: 12/13/04
Re: Need help deriving Peano Axioms from the reals
Posted: May 31, 2012 10:07 AM
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In message <>, Jesse F. Hughes
<> writes
>But I still don't see how your set will yield that (Ax)(s(x) != 1). I'd
>be more interested in the inductive set:
> {x in n | s(x) > 1}

Call "my set" m, by definition of n, n is a subset of m. But 0 is not in
m and so can't be in n. (We're working within the reals, so we already
know s(x) = 1 implies x = 0, we only have to show 0 isn't in n.)
David Hartley

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