cardinal number

English

Noun

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.
- 1920, Bertrand Russell, Introduction to Mathematical Philosophy, page 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 &alefsym;₀.
(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
Bengali: অঙ্কবাচক সংখ্যা (bn) (ôṅkôbacôk śôṅkha)
Catalan: nombre cardinal m
Chinese:
Mandarin: 基數／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: кардина́льное число́ 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
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: мо́щность мно́жества f (móščnostʹ mnóžestva), кардина́льное число́ 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)
Welsh: rhif prifol (cy) m

cardinal numeral — see cardinal numeral

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