Definition:Finite Set/Also known as

Finite Set: Also known as

It is a common expression to refer to a finite number when finite set is meant.

That is, a finite number of can usually more precisely be worded a finite set of.

However, it is often the case that finite number works better, so on $\mathsf{Pr} \infty \mathsf{fWiki}$ both forms will be found.

Similarly, the term finitely many can also be seen in a similar context.