Drexel dragonThe Math ForumDonate to the Math Forum


Math Forum
 Ask Dr. Math
 Discussions
 Internet Newsletter
 MathTools
 Problems of the Week
 Teacher2Teacher
 Teacher Exchange
 Workshops

Search All of the Math Forum:
Browse our Internet Mathematics Library

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

Advanced Search
Reply to this Topic Reply to this Topic

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Zaljohar@gmail.com

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
plausible
axioms.

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.

Zuhair

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.