Definition:Countable Set

Also known as
The words denumerable and enumerable are sometimes encountered, usually meaning countably infinite.

Some sources use countable to mean countably infinite.

However, this usage seems to be going out of fashion, as the very concept of the term countable implies that a set can be counted, which, plainly, a finite set can be.

Some pedagogues (for example Vi Hart and James Grime) use the term listable, but this has yet to catch on.

Also see

 * Equivalence of Definitions of Countable Set
 * Surjection from Natural Numbers iff Countable
 * Countable Set equals Range of Sequence


 * Definition:Finite Set
 * Definition:Infinite Set
 * Definition:Uncountable Set


 * Sufficient Conditions for Uncountability