List of set theory topics

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• Set theory
  • Axiomatic set theory
  • Naive set theory
  • Zermelo set theory
  • Zermelo-Fraenkel set theory
  • Kripke-Platek set theory with urelements
• Simple theorems in the algebra of sets
• Axiom of choice
  • Zorn's lemma
• Empty set
• Cardinality
  • Cardinal number
  • Aleph number
    • Aleph null
    • Aleph one
  • Beth number
• Ordinal number
  • Well-order
  • Limit ordinal
  • Successor ordinal
  • Transfinite induction
  • Well-founded set
  • Infinite descending chain
• Set
• Algebra of sets
• Countable set
• Cantor's diagonal argument
• Cantor's first uncountability proof
• Cantor's theorem
• Cantor-Bernstein-Schroeder theorem
• Continuum hypothesis
  • Forcing (mathematics)
• Cantor's back-and-forth method
• Class (set theory)
• Internal set theory
• Fuzzy set
• Union (set theory)
• Intersection (set theory)
• Complement (set theory)
• Cartesian product
• Subset
• Power set
• Russell's paradox
• Burali-Forti paradox
• Continuum (mathematics)
  • Suslin's problem
• Musical set theory

Set theorists

• George Cantor
• Paul Cohen
• Abraham Fraenkel
• Thoralf Skolem

See also: List of set theory topics, Abraham Fraenkel, Aleph null, Aleph number, Aleph one, Algebra of sets, Axiom of choice, Axiomatic set theory, Beth number