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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
• Eyo Malachy
• 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

v t e Set theory
Overview	Set (mathematics)
Axioms	Adjunction Choice countable dependent global Constructibility (V=L) Determinacy projective Extensionality Infinity Limitation of size Pairing Power set Regularity Union Martin's axiom Axiom schema replacement specification
Operations	Cartesian product Complement (i.e. set difference) De Morgan's laws Disjoint union Identities Intersection Power set Symmetric difference Union
Concepts Methods	Almost Cardinality Cardinal number (large) Class Constructible universe Continuum hypothesis Diagonal argument Element ordered pair tuple Family Forcing One-to-one correspondence Ordinal number Set-builder notation Transfinite induction Venn diagram
Set types	Amorphous Countable Empty Finite (hereditarily) Filter base subbase Ultrafilter Fuzzy Infinite (Dedekind-infinite) Recursive Singleton Subset · Superset Transitive Uncountable Universal
Theories	Alternative Axiomatic Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo–Fraenkel von Neumann–Bernays–Gödel Morse–Kelley Kripke–Platek Tarski–Grothendieck
Paradoxes Problems	Russell's paradox Suslin's problem Burali-Forti paradox
Set theorists	Paul Bernays Georg Cantor Paul Cohen Richard Dedekind Abraham Fraenkel Kurt Gödel Thomas Jech John von Neumann Willard Quine Bertrand Russell Thoralf Skolem Ernst Zermelo

• Set theory
• Mathematics-related lists