List of Mathematical Logic Topics - Set Theory

Set Theory

  • Algebra of sets
  • Axiom of choice
    • Axiom of countable choice
    • Axiom of dependent choice
    • Zorn's lemma
  • Boolean algebra (structure)
  • Boolean-valued model
  • Burali-Forti paradox
  • Cantor's back-and-forth method
  • Cantor's diagonal argument
  • Cantor's first uncountability proof
  • Cantor's theorem
  • Cantor–Bernstein–Schroeder theorem
  • Cardinality
    • Aleph number
      • Aleph-null
      • Aleph-one
    • Beth number
    • Cardinal number
    • Hartogs number
  • Cartesian product
  • Class (set theory)
  • Complement (set theory)
  • Complete Boolean algebra
  • Continuum (mathematics)
    • 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 plus
    • Axiom of determinacy
    • Axiom of projective determinacy
    • Axiom of real determinacy
  • Empty set
  • Forcing (mathematics)
  • Fuzzy set
  • Internal set theory
  • Intersection (set theory)
  • L
  • L(R)
  • Large cardinal property
  • Musical set theory
  • Ordinal number
    • Infinite descending chain
    • Limit ordinal
    • Successor ordinal
    • Transfinite induction
      • ∈-induction
    • Well-founded set
    • Well-order
  • Power set
  • Russell's paradox
  • Set theory
    • Alternative set theory
    • Axiomatic set theory
    • Kripke-Platek set theory with urelements
    • Morse-Kelley set theory
    • Naive set theory
    • New Foundations
    • Positive set theory
    • Zermelo-Fraenkel set theory
    • Zermelo set theory
  • Set (mathematics)
  • 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

Read more about this topic:  List Of Mathematical Logic Topics

Famous quotes containing the words set and/or theory:

    “If we cannot find a way to interpret the utterances and other behaviour of a creature as revealing a set of beliefs largely consistent and true by our own standards, we have no reason to count that creature as rational, as having beliefs, or as saying anything.”
    —Donald Davidson (b. 1917)

    “It makes no sense to say what the objects of a theory are,
    beyond saying how to interpret or reinterpret that theory in another.”
    —Willard Van Orman Quine (b. 1908)