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