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