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A word that expresses the relative position of an item in a sequence.
Definition source: English Wiktionary via Wiktextract
Topics: grammar, human-sciences, linguistics, sciences
Examples
- First, second and third are the ordinal numbers corresponding to one, two and three.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
A natural number used to denote position in a sequence.
Definition source: English Wiktionary via Wiktextract
Topics: arithmetic
Examples
- In the expression a3, the "3" is an ordinal number.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Such a number generalised to correspond to any cardinal number (the size of some set); formally, the order type of some well-ordered set of some cardinality a, which represents an equivalence class of well-ordered sets (exactly those of cardinality a) under the equivalence relation "existence of an order-preserving bijection".
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences, set-theory
Examples
- 1950, Frederick Bagemihl (translator), Erich Kamke, Theory of Sets, Dover (Dover Phoenix), 2006, page 137, For not only do the antinomies a) to e) disappear when we admit as elements of sets only such sets, ordinal numbers, and cardinal numbers as are bounded above by a fixed cardinal number, but we see also that paradoxes always arise if we collect into a set any sets, cardinal numbers, or ordinal numbers which are not bounded above by a fixed cardinal number.
- 1960 [D. Van Nostrand], Paul R. Halmos, Naive Set Theory, 2017, Dover, Republication, page 80, Is there a set that consists exactly of all the ordinal numbers? It is easy to see that the answer must be no. If there were such a set, then we could form the supremum of all ordinal numbers. That supremum would be an ordinal number greater than or equal to every ordinal number. Since, however, for each ordinal number there exists a strictly greater one (for example, its successor), this is impossible; it makes no sense to speak of the "set" of all ordinals.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
the number designating place in an ordered sequence
Definition source: Princeton WordNet 3.0
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: ordinal, no.
Antonyms: none provided
Broader terms: number
Narrower terms: first, number one, number 1
No etymology was provided for this word.
Across languages
Translations
59 source translations are retained for this English entry.
-
Bulgarian:
числително редно
(čislitelno redno)
— grammar: word used to denote relative position in a sequence
-
Catalan:
nombre ordinal
— grammar: word used to denote relative position in a sequence
-
Chinese Mandarin:
順序數 /顺序数
(shùnxùshù)
— grammar: word used to denote relative position in a sequence
-
Chinese Mandarin:
序數 /序数
(xùshù)
— grammar: word used to denote relative position in a sequence
-
Chinese Mandarin:
序數詞 /序数词
(xùshùcí)
— grammar: word used to denote relative position in a sequence
-
Crimean Tatar:
sıra sayısı
— grammar: word used to denote relative position in a sequence
-
Czech:
řadová číslovka
— grammar: word used to denote relative position in a sequence
-
Danish:
ordinaltal
— grammar: word used to denote relative position in a sequence
-
Danish:
ordenstal
— grammar: word used to denote relative position in a sequence
-
Dutch:
rangtelwoord
— grammar: word used to denote relative position in a sequence
-
Faroese:
raðtal
— grammar: word used to denote relative position in a sequence
-
Finnish:
järjestyslukusana
— grammar: word used to denote relative position in a sequence
-
Finnish:
ordinaalilukusana
— grammar: word used to denote relative position in a sequence
-
French:
nombre ordinal (pl. nombres ordinaux)
— grammar: word used to denote relative position in a sequence
-
Galician:
número ordinal
— grammar: word used to denote relative position in a sequence
-
Georgian:
რიგობითი რიცხვითი სახელი
(rigobiti ricxviti saxeli)
— grammar: word used to denote relative position in a sequence
-
Georgian:
რიგითი რიცხვითი სახელი
(rigiti ricxviti saxeli)
— grammar: word used to denote relative position in a sequence
-
German:
Ordnungszahl
— grammar: word used to denote relative position in a sequence
-
German:
Ordnungszahlwort
— grammar: word used to denote relative position in a sequence
-
German:
Ordinale
— grammar: word used to denote relative position in a sequence
-
German:
Ordinalzahl
— grammar: word used to denote relative position in a sequence
-
Greek:
τακτικό αριθμητικό
(taktikó arithmitikó)
— grammar: word used to denote relative position in a sequence
-
Hindi:
कर्मवाचक संख्या
(karmvācak saṅkhyā)
— grammar: word used to denote relative position in a sequence
-
Hungarian:
sorszámnév
— grammar: word used to denote relative position in a sequence
-
Icelandic:
raðtala
— grammar: word used to denote relative position in a sequence
-
Japanese:
序数詞
(josūshi)
— grammar: word used to denote relative position in a sequence
-
Japanese:
序数
(josū)
— grammar: word used to denote relative position in a sequence
-
Korean:
서수
(seosu)
— grammar: word used to denote relative position in a sequence
-
Korean:
서수사
(seosusa)
— grammar: word used to denote relative position in a sequence
-
Latin:
numerus ordinālis
— grammar: word used to denote relative position in a sequence
-
Norwegian Bokmål:
ordenstall
— grammar: word used to denote relative position in a sequence
-
Polish:
liczebnik porządkowy
— grammar: word used to denote relative position in a sequence
-
Polish:
liczba porządkowa
— grammar: word used to denote relative position in a sequence
-
Portuguese:
número ordinal
— grammar: word used to denote relative position in a sequence
-
Russian:
поря́дковое числи́тельное
(porjádkovoje čislítelʹnoje)
— grammar: word used to denote relative position in a sequence
-
Serbo-Croatian:
redni broj
— grammar: word used to denote relative position in a sequence
-
Swedish:
ordningstal
— grammar: word used to denote relative position in a sequence
-
Welsh:
trefnolyn
— grammar: word used to denote relative position in a sequence
-
Welsh:
rhif trefnol
— grammar: word used to denote relative position in a sequence
-
Bulgarian:
пореден номер
(poreden nomer)
— arithmetic: number used to denote position in a sequence
-
Chinese Mandarin:
序數 /序数
(xùshù)
— arithmetic: number used to denote position in a sequence
-
Finnish:
järjestysluku
— arithmetic: number used to denote position in a sequence
-
Finnish:
ordinaaliluku
— arithmetic: number used to denote position in a sequence
-
Māori:
tau raupapa
— arithmetic: number used to denote position in a sequence
-
Polish:
liczba porządkowa
— arithmetic: number used to denote position in a sequence
-
Russian:
поря́дковый но́мер
(porjádkovyj nómer)
— arithmetic: number used to denote position in a sequence
-
Russian:
но́мер
(nómer)
— arithmetic: number used to denote position in a sequence
-
Tagalog:
bilang na panunod
— arithmetic: number used to denote position in a sequence
-
Welsh:
trefnolyn
— arithmetic: number used to denote position in a sequence
-
Welsh:
rhif trefnol
— arithmetic: number used to denote position in a sequence
-
Bulgarian:
ординал
— generalized kind of number to denote the length of a well-order on a set
-
Czech:
ordinální číslo
— generalized kind of number to denote the length of a well-order on a set
-
Dutch:
ranggetal
— generalized kind of number to denote the length of a well-order on a set
-
Finnish:
ordinaali
— generalized kind of number to denote the length of a well-order on a set
-
Hungarian:
rendszám
— generalized kind of number to denote the length of a well-order on a set
-
Japanese:
順序数
(junjosū)
— generalized kind of number to denote the length of a well-order on a set
-
Polish:
liczba porządkowa
— generalized kind of number to denote the length of a well-order on a set
-
Welsh:
trefnolyn
— generalized kind of number to denote the length of a well-order on a set
-
Welsh:
rhif trefnol
— generalized kind of number to denote the length of a well-order on a set
