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: Anti-foundation axiom
Replies: 11   Last Post: Mar 15, 2013 6:00 AM

Advanced Search

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

Posts: 2,665
Registered: 6/29/07
Anti-foundation axiom
Posted: Mar 6, 2013 7:59 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

The following theory Violates foundation in preference to somewhat

ZF - foundation
For all x. Exist H(x)
for all x. x subnumerous to H(x)
Anti-Foundation Axiom: An infinite Dedekindian finite set exists.

Where H(x) is the set of all sets hereditarily subnumerous to x.


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

[Privacy Policy] [Terms of Use]

© The Math Forum 1994-2015. All Rights Reserved.