Continuum (set theory)
In the mathematical field of set theory, the continuum means the real numbers, or the corresponding (infinite) cardinal number, . Georg Cantor proved that the cardinality is larger than the smallest infinity, namely, . He also proved that equals , the cardinality of the power set of the natural numbers. The cardinality of the continuum is the size of the set of real numbers. The continuum hypothesis is sometimes stated by saying that no cardinality lies between that of the continuum and that of the natural numbers, .
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Continuum (set theory)
In the mathematical field of set theory, the continuum means the real numbers, or the corresponding (infinite) cardinal number, . Georg Cantor proved that the cardinality is larger than the smallest infinity, namely, . He also proved that equals , the cardinality of the power set of the natural numbers. The cardinality of the continuum is the size of the set of real numbers. The continuum hypothesis is sometimes stated by saying that no cardinality lies between that of the continuum and that of the natural numbers, .
has abstract
25بك المحتوى هنا ينقصه الاستشه ...... الطوبولوجيا كما هو موضح أسفله.
@ar
In the mathematical field of s ...... that of the natural numbers, .
@en
La palabra continuo (sin tilde) proviene del latín continŭus.
@es
数学の集合論における連続体（れんぞくたい、英: contin ...... 濃度 との間には別な濃度が存在しないことを述べたものである。
@ja
連續統是一個數學概念。當人們籠統地說：「在實數集裡實數可以連 ...... 一詞有時即指實數線或者實數集，這是較舊的叫法；見連續統假設。
@zh
Wikipage page ID
24,758,677
Wikipage revision ID
654,402,964
subject
comment
25بك المحتوى هنا ينقصه الاستشه ...... الطوبولوجيا كما هو موضح أسفله.
@ar
In the mathematical field of s ...... that of the natural numbers, .
@en
La palabra continuo (sin tilde) proviene del latín continŭus.
@es
数学の集合論における連続体（れんぞくたい、英: contin ...... 濃度 との間には別な濃度が存在しないことを述べたものである。
@ja
連續統是一個數學概念。當人們籠統地說：「在實數集裡實數可以連 ...... 一詞有時即指實數線或者實數集，這是較舊的叫法；見連續統假設。
@zh
label
Continuo
@es
Continuum (set theory)
@en
استمرارية (رياضيات)
@ar
连续统
@zh
連続体 (集合論)
@ja