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  • equinumerous — adjective Having equal cardinality …   Wiktionary

  • Logicism — is one of the schools of thought in the philosophy of mathematics, putting forth the theory that mathematics is an extension of logic and therefore some or all mathematics is reducible to logic.[1] Bertrand Russell and Alfred North Whitehead… …   Wikipedia

  • Cardinal assignment — In set theory, the concept of cardinality is significantly developable without recourse to actually defining cardinal numbers as objects in theory itself (this is in fact a viewpoint taken by Frege; Frege cardinals are basically equivalence… …   Wikipedia

  • Cardinal number — This article describes cardinal numbers in mathematics. For cardinals in linguistics, see Names of numbers in English. In mathematics, cardinal numbers, or cardinals for short, are generalized numbers used to measure the cardinality (size) of… …   Wikipedia

  • Georg Cantor — Infobox Scientist name = Georg Ferdinand Ludwig Cantor image width=225px caption = birth date = birth date|1845|3|3 birth place = Saint Petersburg, Russia death date = death date and age|1918|1|6|1845|3|3 death place = Halle, Germany residence =… …   Wikipedia

  • Equinumerosity — In the field of mathematics, two sets A and B are equinumerous if they have the same cardinality, i.e., if there exists a bijection f : A → B . This is usually denoted:A approx B , or A sim B.The study of cardinality is often called… …   Wikipedia

  • Beth number — In mathematics, the infinite cardinal numbers are represented by the Hebrew letter aleph (aleph) indexed with a subscript that runs over the ordinal numbers (see aleph number). The second Hebrew letter eth (beth) is used in a related way, but… …   Wikipedia

  • Branching quantifier — In logic a branching quantifier is a partial ordering :langle Qx 1dots Qx n angle of quantifiers for Q∈{∀,∃}. In classical logic, quantifier prefixes are linearly ordered such that the value of a variable x bound by a quantifier Q depends on the… …   Wikipedia

  • The Foundations of Arithmetic — Die Grundlagen der Arithmetik (The Foundations of Arithmetic) is a book by Gottlob Frege, published in 1884, in which he investigates the philosophical foundations of arithmetic. In a tour de force of literary and philosophical merit, Frege… …   Wikipedia

  • one-to-one correspondence — Two sets can be put into one to one correspondence when to each element of one there corresponds one element of the other, and to each distinct element of the one a different element of the other. Counting is an operation that puts n membered… …   Philosophy dictionary

  • Equivalence class — This article is about equivalency in mathematics; for equivalency in music see equivalence class (music). In mathematics, given a set X and an equivalence relation on X, the equivalence class of an element a in X is the subset of all elements in… …   Wikipedia

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