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