- #1
Werg22
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Use of the term "pair" vs "ordered pair"
Why is it that authors use the term "pair" and "ordered pair" interchangeably and, maybe I'm mistaken, a little imprecisely? For example, in listing the field axioms, the language "for every pair x and y" is usually used. However, surly the author means "for every ordered pair x and y", otherwise, there is no need for the axiom of commutativity (neither for addition nor multiplication). Just something that has been bothering me.
Why is it that authors use the term "pair" and "ordered pair" interchangeably and, maybe I'm mistaken, a little imprecisely? For example, in listing the field axioms, the language "for every pair x and y" is usually used. However, surly the author means "for every ordered pair x and y", otherwise, there is no need for the axiom of commutativity (neither for addition nor multiplication). Just something that has been bothering me.
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