Set theory - Quiz
A) A single object B) A tuple of objects C) An ordered list of objects D) A collection of distinct objects
A) ∈ B) ∩ C) ∉ D) ⊆
A) Power set B) Empty set C) Universal set D) Singleton set
A) Cardinality B) Union C) Subset D) Intersection
A) Finite set B) Empty set C) Singleton set D) Universal set
A) Complement B) Union C) Intersection D) Cartesian product
A) A - A B) A ∩ A C) A ∪ A D) A'
A) Complement set B) Infinite set C) Power set D) Finite set
A) Infinite set B) Empty set C) Universal set D) Singleton set
A) ∩ B) ∉ C) ⊆ D) ∪
A) Finite set B) Empty set C) Universal set D) Singleton set
A) Union of sets A and B B) Intersection of sets A and B C) Symmetric difference of sets A and B D) Elements that are in set A but not in set B
A) They are both empty sets B) One set is a subset of the other C) They have different elements D) They have the same elements
A) 2n B) n2 C) 2n D) n!
A) The complement of set A with respect to set B B) The intersection of sets A and B C) The union of sets A and B D) The power set of set A
A) 8 B) 15 C) 3 D) 5
A) Union B) Complement C) Intersection D) Symmetric difference
A) Complement B) Intersection C) Union D) Symmetric difference
A) 10 to 15 B) 11 to 25 C) 26 to 30 D) 1 to 5
A) 5 B) 6 C) 10 D) 2
A) Zeno of Elea B) Bernard Bolzano C) Richard Dedekind D) Georg Cantor
A) Richard Dedekind himself B) Bernard Bolzano C) Georg Cantor D) Zeno of Elea
A) Equivalence relations B) Point-sets C) Trigonometric series D) Manifolds
A) Bernard Bolzano B) Zeno of Elea C) Georg Cantor D) Richard Dedekind
A) Omega (ω) B) Delta (Δ) C) Aleph (ℵ) D) Epsilon (ε)
A) A ∩ o B) o ∈ A C) o ⊆ A D) A ∪ o
A) Riemann's paper on trigonometric series B) Cantor's study of point-sets C) Bolzano's Paradoxes of the Infinite D) Dedekind's work on equivalence relations
A) Ernst Zermelo B) Abraham Fraenkel C) Georg Cantor D) Lotfi A. Zadeh
A) Set-theoretic topology. B) Topos theory. C) Homotopy type theory. D) Constructive analysis.
A) Line plots B) Bar graphs C) Venn diagrams D) Pie charts
A) As a homotopy 0-type. B) As an infinite cardinal. C) As a topological space. D) As a predicate.
A) Cantor's paradox B) Russell's paradox C) Peano's paradox D) Frege's contradiction
A) \(\mathbb{Z}\) B) \(\mathbb{R}\) C) \(\mathbb{Q}\) D) \(\mathbb{N}\)
A) {1, 4} B) {2, 3} C) {1} D) {1, 2, 3, 4}
A) Sigma (Σ) B) Aleph (ℵ) C) Omega (ω) D) Delta (Δ)
A) The von Neumann hierarchy V. B) The constructible universe L developed by Gödel. C) An inaccessible cardinal. D) A model where the axiom of determinacy holds.
A) Physics B) Biology C) Mathematics education D) Chemistry
A) 3 B) 2 C) 4 D) Undefined
A) Giuseppe Peano B) Gottlob Frege C) Richard Dedekind D) Leopold Kronecker
A) Bernhard Riemann B) Bernard Bolzano C) Georg Cantor D) Richard Dedekind
A) {} B) ∩ C) ∪ D) ∅
A) Dedekind cuts B) Peano axioms C) Cantor's diagonal argument D) Cantor's first uncountability proof
A) Homotopy type theory. B) Infinite set theory. C) Algorithmic human deduction. D) Topos theory.
A) {4} B) {1, 4} C) {2, 3} D) {1}
A) Augustus De Morgan B) Leonhard Euler C) George Boole D) John Venn
A) Coq B) Lean C) Metamath D) Isabelle
A) \(\mathbb{N}\) B) \(\mathbb{Z}\) C) \(\mathbb{R}\) D) \(\mathbb{Q}\)
A) Beta (β) B) Gamma (γ) C) Omega (ω) D) Aleph (ℵ)
A) A ∩ P B) P(A) C) A ∪ P D) A △ P
A) Japan B) France C) The US D) Germany
A) Union B) Proper subset C) Intersection D) Symmetric difference
A) Operational definition B) Intensional definition C) Functional definition D) Extensional definition
A) Zermelo–Fraenkel set theory B) Von Neumann–Bernays–Gödel set theory C) New Foundations (NF) D) Morse–Kelley set theory
A) CZF (Constructive Zermelo–Fraenkel) B) NFU C) Von Neumann–Bernays–Gödel set theory D) ZFC
A) The Poincaré conjecture. B) The Banach-Tarski paradox. C) The normal Moore space question. D) The continuum hypothesis.
A) Urelements B) Subsets C) Members D) Elements
A) 1885 B) 1890 C) 1872 D) 1874
A) Kurt Gödel. B) Ernst Zermelo. C) Paul Cohen. D) Georg Cantor.
A) Topos theory. B) Set-theoretic topology. C) Homotopy type theory. D) Constructive analysis.
A) V B) N C) Z D) U |
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