Set theory - Test
A) A collection of distinct objects B) A tuple of objects C) An ordered list of objects D) A single object
A) ∈ B) ∩ C) ∉ D) ⊆
A) Power set B) Empty set C) Singleton set D) Universal set
A) Subset B) Intersection C) Cardinality D) Union
A) Empty set B) Universal set C) Singleton set D) Finite set
A) Union B) Cartesian product C) Intersection D) Complement
A) A ∩ A B) A' C) A - A D) A ∪ A
A) Power set B) Finite set C) Infinite set D) Complement set
A) Universal set B) Empty set C) Singleton set D) Infinite set
A) ⊆ B) ∪ C) ∉ D) ∩
A) Empty set B) Singleton set C) Finite set D) Universal set
A) Intersection of sets A and B B) Union 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) They have the same elements B) One set is a subset of the other C) They are both empty sets D) They have different elements
A) 2n B) 2n C) n2 D) n!
A) The intersection of sets A and B B) The power set of set A C) The union of sets A and B D) The complement of set A with respect to set B
A) 15 B) 3 C) 8 D) 5
A) Intersection B) Union C) Complement D) Symmetric difference
A) Symmetric difference B) Union C) Complement D) Intersection
A) 11 to 25 B) 26 to 30 C) 1 to 5 D) 10 to 15
A) 10 B) 6 C) 2 D) 5
A) Richard Dedekind B) Georg Cantor C) Zeno of Elea D) Bernard Bolzano
A) Georg Cantor B) Zeno of Elea C) Richard Dedekind himself D) Bernard Bolzano
A) Manifolds B) Point-sets C) Equivalence relations D) Trigonometric series
A) Richard Dedekind B) Georg Cantor C) Zeno of Elea D) Bernard Bolzano
A) Georg Cantor B) Bernard Bolzano C) Richard Dedekind D) Bernhard Riemann
A) Cantor's study of point-sets B) Bolzano's Paradoxes of the Infinite C) Riemann's paper on trigonometric series D) Dedekind's work on equivalence relations
A) 1874 B) 1890 C) 1885 D) 1872
A) Cantor's diagonal argument B) Dedekind cuts C) Cantor's first uncountability proof D) Peano axioms
A) Sigma (Σ) B) Delta (Δ) C) Omega (ω) D) Aleph (ℵ)
A) Aleph (ℵ) B) Gamma (γ) C) Beta (β) D) Omega (ω)
A) Leopold Kronecker B) Gottlob Frege C) Giuseppe Peano D) Richard Dedekind
A) Frege's contradiction B) Russell's paradox C) Peano's paradox D) Cantor's paradox
A) Epsilon (ε) B) Delta (Δ) C) Aleph (ℵ) D) Omega (ω)
A) o ∈ A B) A ∪ o C) A ∩ o D) o ⊆ A
A) Symmetric difference B) Union C) Proper subset D) Intersection
A) {4} B) {1} C) {2, 3} D) {1, 4}
A) {2, 3} B) {1} C) {1, 4} D) {1, 2, 3, 4}
A) {} B) ∩ C) ∅ D) ∪
A) A ∪ P B) A △ P C) A ∩ P D) P(A)
A) Von Neumann–Bernays–Gödel set theory B) New Foundations (NF) C) Zermelo–Fraenkel set theory D) Morse–Kelley set theory
A) U B) N C) Z D) V
A) Subsets B) Urelements C) Elements D) Members
A) Von Neumann–Bernays–Gödel set theory B) ZFC C) CZF (Constructive Zermelo–Fraenkel) D) NFU
A) 2 B) 4 C) Undefined D) 3
A) Isabelle B) Metamath C) Lean D) Coq
A) Lotfi A. Zadeh B) Georg Cantor C) Ernst Zermelo D) Abraham Fraenkel
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) Paul Cohen. B) Georg Cantor. C) Ernst Zermelo. D) Kurt Gödel.
A) The continuum hypothesis. B) The Banach-Tarski paradox. C) The Poincaré conjecture. D) The normal Moore space question.
A) Infinite set theory. B) Topos theory. C) Algorithmic human deduction. D) Homotopy type theory.
A) Set-theoretic topology. B) Constructive analysis. C) Homotopy type theory. D) Topos theory.
A) Topos theory. B) Homotopy type theory. C) Constructive analysis. D) Set-theoretic topology.
A) As an infinite cardinal. B) As a predicate. C) As a homotopy 0-type. D) As a topological space.
A) France B) Germany C) Japan D) The US
A) Venn diagrams B) Line plots C) Bar graphs D) Pie charts
A) George Boole B) John Venn C) Augustus De Morgan D) Leonhard Euler
A) \(\mathbb{R}\) B) \(\mathbb{Q}\) C) \(\mathbb{N}\) D) \(\mathbb{Z}\)
A) \(\mathbb{Z}\) B) \(\mathbb{Q}\) C) \(\mathbb{N}\) D) \(\mathbb{R}\)
A) Functional definition B) Extensional definition C) Operational definition D) Intensional definition
A) Chemistry B) Mathematics education C) Physics D) Biology |
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