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cardinal number

Noun

Meaning

the number of elements in a mathematical set; denotes a quantity but not the order

Source: WordNet

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Every transfinite consistent multiplicity, that is, every transfinite set, must have a definite aleph as its cardinal number. Georg Cantor

Cardinality of infinite sets main Two sets are said to have the same cardinality or cardinal number if there exists a bijection (a one-to-one correspondence) between them. Source: Internet

In 1899 Cantor had himself posed the question "What is the cardinal number of the set of all sets?", and obtained a related paradox. Source: Internet

It is noted, however, that in the case of the numeral "one", the ordinal (masculine) and the cardinal number are the same. Source: Internet

Many well-ordered sets with cardinal number ℵ 0 have an ordinal number greater than ω (the latter is the lowest possible). Source: Internet

The cardinal number precedes the noun (ex. shlosha yeladim), except for the number one which succeeds it (ex. yeled ehad). Source: Internet

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