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In [[set theory]], '''cardinality''' is a property of [[set]]s that generalises the notion ...the [[axiom of foundation]] holds, the set of all sets of minimal [[rank (set theory)|rank]] equinumerous with ''X'' can be used. If the [[axiom of choice]] is

The '''inclusion-exclusion principle''' is a [[theorem]] of [[set theory]] relating to the [[cardinality]] of a set defined as the [[union (mathemat

* {{cite book | author=Paul Halmos | authorlink=Paul Halmos | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[V

...hen considered as a partially [[ordered set]] with respect to [[inclusion (set theory)|inclusion]].

:I would support a move of this article to Union (mathematics) or Union (set theory). [[User:Richard Pinch|Richard Pinch]] 22:10, 4 November 2008 (UTC)

* {{cite book | author=Paul Halmos | authorlink=Paul Halmos | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[V

** In [[set theory]], [[intersection]] distributes over [[union]] and union distributes over i

* {{cite book | author=Paul Halmos | authorlink=Paul Halmos | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[V

In [[set theory]], '''composition''' is an operation on [[relation (mathematics)|relations]

* Zimmermann H., ''Fuzzy Set Theory and its Applications'' (2001), ISBN 978-0-7923-7435-0. * Klir G. , UTE H. St.Clair and Bo Yuan ''Fuzzy Set Theory Foundations and Applications'',1997.

...properties as ''"to be small"'', ''"to be close to 6"'' and so on. Now, in set theory given a set ''S'' and a "well defined" property ''P'', the ''axiom of comp ...erent empty subsets and therefore there is not a unique empty subset as in set theory.

{{r|Set theory}}

{{r|Set theory}}

{{r|Set theory}}

...you wrote. Very nice work, thank you. Unfortunately, I know nothing about set theory, so all I could do is add some links. However, I do wonder about the formul

{{r|Set theory}} (I left CS as related, nevertheless, but with doubts.) I hesitated to put Set Theory to related

...m of choice and of the generalized continuum-hypothesis with the axioms of set theory'') Paul J. Cohen, ''Set theory and the continuum hypothesis''. New York, Amsterdam. 1966.

...think that it makes sense to list here books which belong on the list for set theory.

...out to be a tricky matter. However, some unproblematic examples from naïve set theory will make the concept clearer. These examples will be used throughout this == History of set theory ==

...e notion of comparison between [[number]]s and magnitudes, or [[inclusion (set theory)|inclusion]] between sets or [[algebraic structure]]s. ...maximal within the family of chains ordered by set-theoretic [[inclusion (set theory)|inclusion]]).