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...h J. Devlin | authorlink=Keith Devlin | title=Fundamentals of Contemporary Set Theory | series=Universitext | publisher=[[Springer-Verlag]] | year=1979 | isbn=0- * {{cite book | author=Paul Halmos | authorlink=Paul Halmos | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[V

...h J. Devlin | authorlink=Keith Devlin | title=Fundamentals of Contemporary Set Theory | series=Universitext | publisher=[[Springer-Verlag]] | year=1979 | isbn=0- * {{cite book | author=Paul Halmos | authorlink=Paul Halmos | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[V

In [[set theory]], the '''intersection''' of two sets is the set of elements that they have * {{cite book | author=Paul Halmos | authorlink=Paul Halmos | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[V

In [[set theory]], a '''filter''' is a family of [[subset]]s of a given set which has prope ...bseteq X</math> either <math>A \in \mathcal{F}</math> or the [[complement (set theory)|complement]] <math>X \setminus A \in \mathcal{F}</math>.

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

requires advanced results from [[descriptive set theory]].

In [[set theory]], '''union''' (denoted as ∪) is a set operation between two sets that fo * {{cite book | author=Paul Halmos | authorlink=Paul Halmos | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[V

...h J. Devlin | authorlink=Keith Devlin | title=Fundamentals of Contemporary Set Theory | series=Universitext | publisher=[[Springer-Verlag]] | year=1979 | isbn=0- * {{cite book | author=Paul Halmos | authorlink=Paul Halmos | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[V

A characteristic property of finite sets (which, in [[set theory]] is used to ''define'' finite sets) is the following:

{{r|Inclusion (set theory)}}

{{r|Set theory}}

...s and [[Kurt Gödel]] showed that it was independent of the other axioms of set theory.

The term '''fuzzy subset''' is a generalization of the subset concept from [[set theory]]. In ordinary set theory, given a [[subset]] of a [[set]] there is always a "yes" or "no" answer to

: (Oct 2009): [[Line (Euclidean geometry)]] (E) / [[Set theory]] (E) / [[Cryptography]] (E) / [[Covariance]] (A) / [[Geometric sequence]]

...e possible to take the concept of ordered pair as an elementary concept in set theory, but it is more usual to define them in terms of sets. Kuratowksi proposed ...h J. Devlin | authorlink=Keith Devlin | title=Fundamentals of Contemporary Set Theory | series=Universitext | publisher=[[Springer-Verlag]] | year=1979 | isbn=0-

===Set theory===

...veral possible formulations of [[Set_theory#Axiomatic_set_theory|axiomatic set theory]]. {{cite book |title=Set theory |author=Thomas J Jech |url= http://books.google.com/books?id=pLxq0myANiEC&p

and initiated the study of infinite numbers, now a major branch of [[set theory]].

{{r|Set theory}}

| title = Classical descriptive set theory