equinumerous sets

equinumerous sets
мат. равномощные множества

Большой англо-русский и русско-английский словарь. 2001.

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  • 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

  • logic, history of — Introduction       the history of the discipline from its origins among the ancient Greeks to the present time. Origins of logic in the West Precursors of ancient logic       There was a medieval tradition according to which the Greek philosopher …   Universalium

  • Scott–Potter set theory — An approach to the foundations of mathematics that is of relatively recent origin, Scott–Potter set theory is a collection of nested axiomatic set theories set out by the philosopher Michael Potter, building on earlier work by the mathematician… …   Wikipedia

  • cardinal number — An object associated with a class of equinumerous sets, that is, sets that may be put into a one to one correspondence with each other. Intuitively, the number that measures the size of a set …   Philosophy dictionary

  • 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

  • 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

  • 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

  • New Foundations — In mathematical logic, New Foundations (NF) is an axiomatic set theory, conceived by Willard Van Orman Quine as a simplification of the theory of types of Principia Mathematica. Quine first proposed NF in a 1937 article titled New Foundations for …   Wikipedia


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