d'histoire des mathématiques. Éléments de mathématique. Springer. ISBN 9783540339380. French paperback edition. Eléments d'histoire des mathématiques. Springer...

_{<\kappa }} of sets of cardinality less than κ {\displaystyle \kappa } and all functions between them is closed under colimits of cardinality less than κ {\displaystyle...

choices for ⟨b2, b4, b6, ...⟩ has the same cardinality as the continuum, which is larger than the cardinality of the proper initial portion { β ∈ J | β < α }...

[citation needed] The number of multisets of cardinality k, with elements taken from a finite set of cardinality n, is sometimes called the multiset coefficient...

November 1556 – 6 December 1618) was a French politician and Roman Catholic cardinal. Jacques Davy du Perron was born in Saint-Lô in Normandy, into the Davy...

itself. The least ordinal of cardinality ℵ0 (that is, the initial ordinal of ℵ0) is ω but many well-ordered sets with cardinal number ℵ0 have an ordinal...

evident to the bemused Bochenski." In Bocheński's Précis de logique mathématique, he uses this notation, in the style of Łukasiewicz: Robert Blanché quoted...

{\displaystyle \{0,1\}^{\mathbb {R} }} (or any product along a set with cardinality greater than continuum) with the product 𝜎-algebra F = ⨂ t ∈ R F t {\displaystyle...

some uncountable cardinality, i.e. all models of this cardinality are isomorphic, then it is categorical in all uncountable cardinalities. A trivial consequence...

subset which shows that the cardinality of a dense subset of a topological space may be strictly smaller than the cardinality of the space itself. The irrational...

bases are uncountable, and have specifically the cardinality of the continuum, which is the cardinal number 2 ℵ 0 {\displaystyle 2^{\aleph _{0}}} , where...

explicitly after stage 5. The set Vω has the same cardinality as ω. The set Vω+1 has the same cardinality as the set of real numbers. If ω is the set of...

A\subset \{1,\dots ,N\}} free of k-term arithmetic progressions has cardinality O ( N ( log ⁡ log ⁡ N ) − c k ) {\displaystyle O(N(\log \log N)^{-c_{k}})}...

philosophie des mathématiques, Gauthier-Villars, Paris 1903 (248 pages). Sur une manière d'exposer la géométrie projective, L'Enseignement mathématique 7 (1905)...

the left cosets form a partition of G. Each left coset aH has the same cardinality as H because x ↦ a x {\displaystyle x\mapsto ax} defines a bijection...

several techniques in his 1770 book Nouvelles récréations physiques et mathématiques, including the projection of ghosts on smoke. In the early 1770s in...

mathematics dealing with countable sets (finite sets or sets with the same cardinality as the natural numbers). However, there is no exact definition of the...

infinite-dimensional vector spaces, and many function spaces have the cardinality of the continuum as a dimension. Many vector spaces that are considered...

(Lettre à un religieux), Torino : Borla, 1970. La Mathématique, les mathématiques, la mathématique moderne, Paris : Doin, 1972. Homélie (prononcée le...

partition π {\displaystyle \pi } , and | A | {\displaystyle |A|} denotes the cardinality of the set A {\displaystyle A} (so that | π | {\displaystyle |\pi |}...

its vocabulary. Interlingua-IL was published in the journal Revue de Mathématiques in an article of 1903 entitled De Latino Sine Flexione, Lingua Auxiliare...

of x {\displaystyle x} is such that the cardinality of U ∩ S {\displaystyle U\cap S} equals the cardinality of S , {\displaystyle S,} then x {\displaystyle...

proper class {ωn : n ∈ ω} has cardinality ℵ 0 {\displaystyle \aleph _{0}} , so it cannot be mapped onto Lωω, which has cardinality ℵ ω {\displaystyle \aleph...

fonction somme des diviseurs et hypothèse de Riemann" (PDF). Journal de Mathématiques Pures et Appliquées. Neuvième Série (in French). 63 (2): 187–213. ISSN 0021-7824...

about an impression of anachronism. (P. Lorenzen[6]) Limit (mathematics) Cardinality of the continuum Strogatz, Steven H. (2019). Infinite powers: how calculus...

for every set A of cardinality κ {\displaystyle \kappa } in a model of T, the set S(A) of complete types over A also has cardinality κ {\displaystyle \kappa...

X} has infinite cardinality κ {\displaystyle \kappa } then the set of ultrafilters over X {\displaystyle X} has the same cardinality as ℘ ( ℘ ( X ) )...

false. The continuum hypothesis, which tries to ascertain the relative cardinality of certain infinite sets, was eventually shown to be independent from...

the weight, w(X), as the minimum cardinality of a basis; we define the network weight, nw(X), as the minimum cardinality of a network; the character of...

was established and consisted of three Classes: Sciences Physiques et Mathématiques ("Physical and Mathematical Sciences"); Sciences Morales et Politiques...