Talk:Axiom of Foundation
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- The original text:
The Axiom of Foundation is the most recent of the axioms of Zermelo-Fraenkel set theory to be added to the list. It states that for every set A the sequence:
- A
- elements of A
- elemenents of elements of A
- elemenets of elements of elemeents of A
- etc.
must eventually stop.
- was wrong. A trivial counterexample is the set of natural numbers according to Von Newmann, for which we have:
- N
- elements of N (N itself)
- elements of elements of N (N itself)
- etc. Sunda62 21:56, 11 April 2010 (EDT)
