Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
David Hartley

Posts: 444
Registered: 12/13/04
Re: Need help deriving Peano Axioms from the reals
Posted: May 31, 2012 10:07 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In message <87396gsbni.fsf@phiwumbda.org>, Jesse F. Hughes
<jesse@phiwumbda.org> 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



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.