cardinal number

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English

Noun

cardinal number (plural cardinal numbers)

1. 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".

2. (mathematics) A generalized kind of number used to denote the size of a set, including infinite sets.
   • 1920, Bertrand Russell, Introduction to Mathematical Philosophy, strana 83:

     This cardinal number is the smallest of the infinite cardinal 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 a countable quantity; a cardinal numeral.

   "Three" is a cardinal number, while "third" is an ordinal number.

Synonyms

• (number): cardinal
• (word): cardinal numeral

Coordinate terms

• (grammar): distributive number, multiplier, ordinal number

Translations

number denoting quantity

• Basque: zenbaki kardinal
• Catalan: nombre cardinal m
• Chinese:

  Mandarin: 基數 (zh), 基数 (zh) (jīshù)

• Danish: kardinaltal n
• Esperanto: kardinalo
• Estonian: kardinaalarv
• Faroese: grundtal n
• Finnish: kardinaaliluku (fi), perusluku (fi)
• French: nombre cardinal (fr) m
• Galician: número cardinal m
• Georgian: რაოდენობითი რიცხვითი სახელი (raodenobiti ricxviti saxeli)
• German: Kardinalzahl (de) f, Grundzahl (de) f
• Greek: απόλυτος αριθμός m (apólytos arithmós)
• Hungarian: tőszám (hu)
• Icelandic: fjöldatala f, höfuðtala (is) f

• Irish: bunuimhir f
• Italian: numero cardinale (it) m
• Japanese: 基数 (ja) (きすう, kisū)
• Korean: 기수 (ko) (gisu)
• Malay: nombor kardinal (ms)
• Maori: tau maha
• Portuguese: número cardinal m
• Romanian: numeral cardinal (ro) n, număr cardinal n
• Russian: kardinálьnoe čisló n (kardinálʹnoje čisló)
• Serbo-Croatian: ^{(please verify)} kardinalni broj m
• Spanish: número cardinal (es) m
• Swedish: kardinaltal (sv) n, grundtal (sv) n
• Tagalog: bilang na paulat
• Turkish: asıl sayı
• Vietnamese: số đếm
• Welsh: rhif prifol (cy)

number used to denote the size of a set

• Basque: zenbaki kardinal
• Catalan: nombre cardinal m
• Czech: kardinální číslo n
• Danish: kardinaltal n
• Estonian: hulga võimsus
• Finnish: kardinaaliluku (fi), perusluku (fi)
• French: nombre cardinal (fr) m
• Galician: número cardinal m
• German: Kardinalzahl (de) f, Grundzahl (de) f
• Hungarian: kardinális szám
• Icelandic: fjöldatala f, höfuðtala (is) f
• Irish: bunuimhir f
• Italian: numero cardinale (it) m

• Japanese: 集合数 (しゅうごうすう, shūgōsū), 基数 (ja) (きすう, kisū)
• Malay: nombor kardinal (ms)
• Polish: liczba kardynalna f
• Portuguese: número cardinal m
• Romanian: cardinal (ro) n
• Russian: móщnostь mnóžestva f (móščnostʹ mnóžestva), kardinálьnoe čisló n (kardinálʹnoje čisló)
• Serbo-Croatian: ^{(please verify)} kardinalni broj m
• Spanish: número cardinal (es) m
• Swedish: kardinaltal (sv) n, grundtal (sv) n (if finite)
• Tagalog: bilang na paulat
• Turkish: asıl sayılar (tr)
• Vietnamese: số lượng (vi)

cardinal numeral — see cardinal numeral

The translations below need to be checked and inserted above into the appropriate translation tables, removing any numbers. Numbers do not necessarily match those in definitions. See instructions at Wiktionary:Entry layout#Translations.

Translations to be checked

• Basque: ^{(please verify)} zenbaki kardinal
• Bengali: ^{(please verify)} অঙ্কবাচক সংখ্যা (ôṅkbacôk śôngkkha)
• Ido: ^{(please verify)} kardinala nombro
• Latin: ^{(please verify)} cardinale

• Serbo-Croatian:

  Cyrillic: ^{(please verify)} glavni broj m

  Roman: ^{(please verify)} glavni broj m, ^{(please verify)} kardinalni broj m

• Slovene: ^{(please verify)} kardinalno število n

Further reading

• cardinal number na Vikipediji.Vikipediji