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cardinal number

From Wiktionary, the free dictionary

English

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Pronunciation

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Noun

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cardinalnumber (pluralcardinal numbers)

  1. A number used to denotequantity; acounting number; acardinal.
    The smallestcardinal numbers are 0, 1, 2, and 3.
    Thecardinal number “three” can be represented as “3” or “three”.
  2. (mathematics) A generalized kind ofnumber used to denote the size of aset, includinginfinite sets.
    • 1920,Bertrand Russell,Introduction to Mathematical Philosophy, page83:
      Thiscardinal number is the smallest of the infinitecardinal numbers; it is the one to which Cantor has appropriated the Hebrew Aleph with the suffix 0, to distinguish it from larger infinite cardinals. Thus the name of the smallest of infinite cardinals is ℵ0.
  3. (grammar) A word that expresses acountablequantity; acardinal numeral.
    “Three” is acardinal number, while “third” is an ordinal number.

Synonyms

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Coordinate terms

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Translations

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number denoting quantity
number used to denote the size of a set
cardinal numeralseecardinal numeral
The translations below need to be checked and inserted above into the appropriate translation tables. See instructions atWiktionary:Entry layout § Translations.
Translations to be checked

Further reading

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