# denumerable

## English[edit]

### Etymology[edit]

The word is used since the beginning of the 20th century in Mathematics. It has been built from the Latin verb *denumerare* meaning to count out.

### Adjective[edit]

**denumerable** (*not comparable*)

- (mathematics) Capable of being assigned a bijection to the natural numbers. Applied to sets which are not finite, but have a one-to-one mapping to the natural numbers.
*The empty set is not***denumerable**because it is finite; the rational numbers are, surprisingly,**denumerable**because every possible fraction can be assigned a natural number and vice versa.