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Rank in set theory without foundation

Rank in set theory without foundation We prove that it is not possible to define an appropriate notion of rank in set theories without the axiom of foundation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archive for Mathematical Logic Springer Journals

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References (5)

Publisher
Springer Journals
Copyright
Copyright © 1999 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematical Logic and Foundations; Mathematics, general; Algebra
ISSN
0933-5846
eISSN
1432-0665
DOI
10.1007/s001530050133
Publisher site
See Article on Publisher Site

Abstract

We prove that it is not possible to define an appropriate notion of rank in set theories without the axiom of foundation.

Journal

Archive for Mathematical LogicSpringer Journals

Published: Aug 1, 1999

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