List of set theory topics

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