Phrase guide

ordered pair

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

An object containing exactly two elements in a fixed order, so that, when the elements are different, exchanging them gives a different object. Notation: (a, b) or ⟨a,b⟩.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences, set-theory

Examples

  • If an ordered pair were defined (in terms of sets) as (x,y):=a,a,b then the "first element" of an ordered pair S could be defined as CAR(S) where CAR(S) = x if and only if (∀y∈S.,x∈y). Likewise, the "second element" of S could be defined as CDR(S) where CDR(S) = x if and only if (∃y∈S.,(∃z∈y.,x∈z)). If the two elements happened to be equal, then the ordered pair would still have cardinality two as would be naturally expected.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

20 source translations are retained for this English entry.

  • Chinese Mandarin: 有序對 /有序对 (yǒuxùduì) — in set theory
  • Czech: uspořádaná dvojice — in set theory
  • Finnish: järjestetty pari — in set theory
  • French: couple — in set theory
  • Galician: par ordenado — in set theory
  • German: geordnetes Paar — in set theory
  • Greek: διατεταγμένο ζεύγος (diatetagméno zévgos) — in set theory
  • Hungarian: rendezett pár — in set theory
  • Italian: coppia — in set theory
  • Italian: coppia ordinata — in set theory
  • Japanese: 順序対 (junjo-tsui) — in set theory
  • Korean: 순서쌍 (sunseossang) — in set theory
  • Māori: takirua raupapa — in set theory
  • Polish: para uporządkowana — in set theory
  • Portuguese: par ordenado — in set theory
  • Russian: упоря́доченная па́ра (uporjádočennaja pára) — in set theory
  • Russian: па́ра (pára) — in set theory
  • Spanish: par ordenado — in set theory
  • Swedish: ordnat par — in set theory
  • Tagalog: kapid na ayos — in set theory