transfinite cardinal

transfinite cardinal
мат. трансфинитное кардинальное число

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

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  • Transfinite number — Transfinite numbers are cardinal numbers or ordinal numbers that are larger than all finite numbers, yet not necessarily absolutely infinite. The term transfinite was coined by Georg Cantor, who wished to avoid some of the implications of the… …   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

  • transfinite — [transfī′nīt] adj. 1. extending beyond or surpassing the finite 2. Math. designating or of a cardinal or ordinal number that is larger than any positive integer …   English World dictionary

  • Transfinite Zahl — Die transfinite Arithmetik ist die Arithmetik der Ordinalzahlen. Die arithmetischen Operationen zwischen Ordinalzahlen kann man mittels transfiniter Rekursion als stetige Fortsetzung der finiten Rechenoperationen einführen oder durch geeignete… …   Deutsch Wikipedia

  • Transfinite Arithmetik — Die transfinite Arithmetik ist die Arithmetik der Ordinalzahlen. Die arithmetischen Operationen zwischen Ordinalzahlen kann man mittels transfiniter Rekursion als stetige Fortsetzung der finiten Rechenoperationen einführen oder durch geeignete… …   Deutsch Wikipedia

  • Transfinite arithmetic — In mathematics, transfinite arithmetic is the generalization of elementary arithmetic to infinite quantities like infinite sets. It was originally invented by the German mathematician Georg Cantor. See also * transfinite number * cardinal… …   Wikipedia

  • transfinite number — Math. an infinite cardinal or ordinal number. [1900 05] * * * ▪ mathematics       denotation of the size of an infinite collection of objects. Comparison of certain infinite collections suggests that they have different sizes even though they are …   Universalium

  • cardinal — Synonyms and related words: Gaussian integer, Grand Penitentiary, Holy Father, Titian, Titian red, abuna, algebraic number, algorismic, algorithmic, aliquot, all absorbing, antipope, arch, archbishop, archdeacon, archpriest, banner, bishop,… …   Moby Thesaurus

  • transfinite — adjective Etymology: German transfinit, from trans (from Latin) + finit finite, from Latin finitus Date: 1902 1. going beyond or surpassing any finite number, group, or magnitude 2. being or relating to the cardinal and ordinal numbers of… …   New Collegiate Dictionary

  • transfinite — adj. going beyond what is finite; pertaining to cardinal or ordinal numbers that are contained in sets of infinite size (Mathematics) …   English contemporary dictionary

  • transfinite number — Math. an infinite cardinal or ordinal number. [1900 05] …   Useful english dictionary


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