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:

    “The business of a novelist is, in my opinion, to create characters first and foremost, and then to set them in the snarl of the human currents of his time, so that there results an accurate permanent record of a phase of human history.”
    —John Dos Passos (1896–1970)

    “There could be no fairer destiny for any physical theory than that it should point the way to a more comprehensive theory in which it lives on as a limiting case.”
    —Albert Einstein (1879–1955)