# List of set theory topics

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This page is a list of articles related to set theory.

## Articles on individual set theory topics

* Algebra of sets
* Axiom of choice
** Axiom of countable choice
** Axiom of dependent choice
** Zorn's lemma
* Axiom of power set
* Boolean-valued model
* Burali-Forti paradox
* Cantor's back-and-forth method
* Cantor's diagonal argument
* Cantor's first uncountability proof
* Cantor's paradox
* Cantor's theorem
* Cantor–Bernstein–Schroeder theorem
* Cardinal number
** Aleph number
** Beth number
** Hartogs number
* Cardinality
* Cartesian product
* Class (set theory)
* Complement (set theory)
* Complete Boolean algebra
* Continuum (set theory)
** Suslin's problem
* Continuum hypothesis
* Countable set
* Descriptive set theory
** Analytic set
** Analytical hierarchy
** Borel equivalence relation
** Infinity-Borel set
** Lightface analytic game
** Perfect set property
** Polish space
** Prewellordering
** Projective set
** Property of Baire
** Uniformization (set theory)
** Universally measurable set
* Determinacy
** AD+
** Axiom of determinacy
** Axiom of projective determinacy
** Axiom of real determinacy
* Empty set
* Forcing (mathematics)
* Fuzzy set
* Hereditary set
* Internal set theory
* Intersection (set theory)
* Inner model theory
** Core model
** Covering lemma
** Inner model
** Mouse (set theory)
* L
* L(R)
* Large cardinal property
** Inaccessible cardinal
** Mahlo cardinal
** Measurable cardinal
** Supercompact cardinal
** Weakly compact cardinal
* Linear partial information
* Multiset
* Musical set theory
* Ordinal number
** Infinite descending chain
** Limit ordinal
** Successor ordinal
** Transfinite induction
*** ∈-induction
** Well-founded set
** Well-order
* PCF theory
* Power set
* Projection
* Quasi-set theory
* Relation
* Rough set
* Russell's paradox
* Semiset
* Set theory
** Alternative set theory
** Axiomatic set theory
** General set theory
** Kripke–Platek set theory with urelements
** Morse–Kelley set theory
** Naive set theory
** New Foundations
** Pocket set theory
** Positive set theory
** S (Boolos 1989)
** Scott–Potter set theory
** Tarski–Grothendieck set theory
** Von Neumann–Bernays–Gödel set theory
** Zermelo–Fraenkel set theory
** Zermelo set theory
* Set (mathematics)
* Set-builder notation
* Set-theoretic topology
* Simple theorems in the algebra of sets
* Subset
* Θ (set theory)
* Tree (descriptive set theory)
* Tree (set theory)
* Union (set theory)
* Von Neumann universe
* Zero sharp

## Lists related to set theory

* Glossary of set theory
* List of large cardinal properties
* List of properties of sets of reals
* List of set identities and relations

## Set theorists

* Wilhelm Ackermann
* James Earl Baumgartner
* Paul Bernays
* Andreas Blass
* George Boolos
* Bourbaki
* Georg Cantor
* Paul Cohen
* Richard Dedekind
* Paul Finsler
* Matthew Foreman
* Abraham Fraenkel
* Gottlob Frege
* Moti Gitik
* Kurt Gödel
* András Hajnal
* Felix Hausdorff
* Steve Jackson
* Thomas Jech
* Ronald Jensen
* Akihiro Kanamori
* Alexander S. Kechris
* Lyudmila Keldysh
* Kenneth Kunen
* Casimir Kuratowski
* Jean A. Larson
* Richard Laver
* Azriel Lévy
* Benedikt Löwe
* Nikolai Luzin
* Menachem Magidor
* Donald A. Martin
* Adrian Mathias
* Anthony Morse
* Yiannis N. Moschovakis
* Andrzej Mostowski
* John von Neumann
* Giuseppe Peano
* Willard Quine
* Bertrand Russell
* Dana Scott
* Saharon Shelah
* Wacław Sierpiński
* Jack Silver
* Thoralf Skolem
* Robert M. Solovay
* Mikhail Yakovlevich Suslin
* John R. Steel
* Gaisi Takeuti
* Alfred Tarski
* W. Hugh Woodin
* Ernst Zermelo

## Societies and organizations

* Association for Symbolic Logic
* The Cabal