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Rank (set theory)
In mathematical set theory, the rank of a set is defined inductively as the smallest ordinal number greater than the rank of any member of the set, where the rank of the empty set is zero. As a consequence, when using the normal set-theoretic definition of the ordinal numbers in terms of sets, every ordinal has a rank equal to itself.
Last updated: 05-21-2005 20:27:36
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details