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  1. From Simple English Wikipedia, the free encyclopedia. Jump to navigation Jump to search. Cardinal numbers (or cardinals) are numbers that say how many of something there are, for example: one, two, three, four, five, six. They are sometimes called counting numbers .
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    Cardinal number - Wikipedia

    https://en.wikipedia.org/wiki/Cardinal_number

    In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets. The cardinality of a finite set is a natural number: the number of elements in the set. The transfinite cardinal numbers, often denoted using the Hebrew

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    The notion of cardinality, as now understood, was formulated by Georg Cantor, the originator of set theory, in 1874–1884. Cardinality can be used to compare an aspect of finite sets. For example, the sets {1,2,3}

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    In informal use, a cardinal number is what is normally referred to as a counting number, provided that 0 is included: 0, 1, 2, .... They may be identified with the natural numbers beginning with 0. The counting numbers are exactly what can be defined formally as the

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    Formally, assuming the axiom of choice, the cardinality of a set X is the least ordinal number α such that there is a bijection between X and α. This definition is known as the von Neumann cardinal assignment

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    We can define arithmeticoperations on cardinal numbers that generalize the ordinary operations for natural numbers. It can be shown that for

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    The continuum hypothesis (CH) states that there are no cardinals strictly between and The latter cardinal number is also often denoted by ;

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  3. Cardinal numeral - Wikipedia

    https://en.wikipedia.org/wiki/Cardinal_numeral

    In linguistics, and more precisely in traditional grammar, a cardinal numeral (or cardinal number word) is a part of speech used to count. Examples in English are the words one, two, three, and the compounds three hundred and forty-two and nine hundred and sixty. Cardinal numerals are classified as definite, and are related to ordinal numbers, such as the English first, second, and third, etc.

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  4. Cardinal number - Simple English Wikipedia, the free ...

    https://simple.wikipedia.org/wiki/Cardinal_number

    Cardinal numbers (or cardinals) are numbers that say how many of something there are, for example: one, two, three, four, five, six. They are sometimes called counting numbers . The cardinality of a set is the cardinal number that tells us, roughly speaking, the size of the set.

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    • cardinal number - Wiktionary

      https://en.wiktionary.org/wiki/cardinal_number

      05/01/2022 · cardinal number ( plural cardinal numbers ) A number used to denote quantity; a counting number; a cardinal . The smallest cardinal numbers are 0, 1, 2, and 3. The cardinal number "three" can be represented as "3" or "three". ( mathematics) A generalized kind of number used to denote the size of a set, including infinite sets.

    • Número cardinal – Wikipédia, a enciclopédia livre

      https://pt.wikipedia.org/wiki/Número_cardinal
      • A noção de cardinalidade, como é compreendida hoje em dia, foi formulada por Georg Cantor, o criador da teoria dos conjuntos, em 1874-1884.[3]Cantor foi o primeiro a estabelecer a cardinalidade como um instrumento para comparar conjuntos finitos; por exemplo, os conjuntos {1, 2, 3} e {2, 3, 4} não são iguais, mas têm a mesma cardinalidade: três. Cantor identificou o fat…
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      • Nombre cardinal — Wikipédia

        https://fr.wikipedia.org/wiki/Nombre_cardinal
        • Les saisons, les points cardinaux, les fils Aymon, forment trois ensembles partageant une certaine qualité, qu'ils ne partagent pas avec l'ensemble des doigts de la main : on peut mettre en évidence cette qualité en faisant correspondre un à un les éléments respectifs de ces ensembles et dire qu'ils sont de cardinal « quatre »[1]. « Quatre » serait alors la signature de la propriété en q…
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        • Cardinal number | Math Wiki | Fandom

          https://math.fandom.com/wiki/Cardinal_number
          • This article is about the mathematical concept. For number words indicating quantity ("three" apples, "four" birds, etc.), see Cardinal number (linguistics). Aleph Null, the smallest infinite cardinal In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets. The cardinality of a finite set is a …
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        • Cardinal number - Encyclopedia of Mathematics

          https://encyclopediaofmath.org/wiki/Cardinal_number

          10/04/2018 · The cardinal number γ is the product of α and β , written as γ = αβ , if and only if every set of cardinality γ is equivalent to the Cartesian product A × B of sets A and B , where card(A) = α and card(B) = β .

        • 基数 - Wikipedia

          https://ja.wikipedia.org/wiki/基数
          Image
          濃度は、集合論の創始者であるゲオルグ・カントールによって定式化された。濃度は、集合の一側面を比べるのに用いられる。例えば、{1, 2, 3} と {4, 5, 6} という集合は等しくない。しかし、({1->4, 2->5, 3->6}という一対一の対応の存在によって確立された)3という同じ“濃度”を持っている。 カントールは、一対一対応と …
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          • What are Cardinal Numbers? Definition and Examples of ...

            https://byjus.com/maths/cardinal-numbers

            The cardinal numbers are the numbers that are used for counting something. These are also said to be cardinals. The cardinal numbers are the counting numbers that start from 1 and goes on sequentially and are not fractions. The examples of cardinal numbers are: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,….

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