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In mathematics, an ordered pair, denoted (a, b), is a pair of objects in which their order is significant. If a and b are different, then (a,b) is different from (b,a). In contrast, the unordered pair {a,b} always equals the unordered pair {b,a}.
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ordered pair set displaystyle definition pairs sets property theory defined first second objects characteristic called also elements kuratowski short one
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| the axiomatic set theory NF | instance of | In type theory and in outgrowths thereof | 0.80 | text |
| the Quine | instance of | In type theory and in outgrowths thereof | 0.80 | text |
| Ordered pair | related to Cantor–Frege definition | Early | 0.60 | section |
| Ordered pair | related to Cantor–Frege definition | Cantor | 0.60 | section |
| Ordered pair | related to Cantor–Frege definition | Frege | 0.60 | section |
| Ordered pair | related to Cantor–Frege definition | This | 0.60 | section |
| Ordered pair | related to Category theory | In | 0.60 | section |
| Ordered pair | related to Category theory | While | 0.60 | section |
| Ordered pair | related to Defining the ordered pair using set theory | If | 0.60 | section |
| Ordered pair | related to Defining the ordered pair using set theory | Hence | 0.60 | section |
| Ordered pair | related to Defining the ordered pair using set theory | Several | 0.60 | section |
| Ordered pair | related to Defining the ordered pair using set theory | Diepert | 0.60 | section |
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