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

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

Advanced Search

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

Posts: 3,809
Registered: 12/6/04
Re: Induction is Wrong
Posted: Nov 30, 2012 10:42 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Nov 30, 3:27 am, RussellE <reaste...@gmail.com> wrote:
> Andrew Boucher has developed a theory called General Arithmetic (GA):http://www.andrewboucher.com/papers/ga.pdf
>
> 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.



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.