# Is there a term for the element of a relation?

If a relation is a subset of the Cartesian product of two sets, is there a special term for an individual element of a relation? Might that term be "relationship"?

• I'd just call it an "element". If you've set things up so that everything is a set, there's no need to invent new words for set-like operations! – Billy Feb 27 '18 at 15:53
• Agreed. Each element of a relation is simply an ordered pair of elements of the underlying set. – gandalf61 Feb 27 '18 at 16:00

You might, I suppose, say that the pair $\langle 1, 2\rangle$ is an instance of the 'less than' relation, if you want to say close to informal talk about relations.