Definition, Meaning & Synonyms

denumerable

adjective

/dɪˈnjuː.mə.rə.bəl/

Definition

Denumerable refers to a set that can be counted or listed in a sequential manner, meaning that its elements can be put into a one-to-one correspondence with the natural numbers.

Examples

The set of all rational numbers is denumerable.
In mathematics, denumerable sets are important for understanding different sizes of infinity.
Each element of a denumerable set can be assigned a unique natural number.

Meaning

It describes a type of infinity that is countable, as opposed to uncountable sets, which cannot be matched to the natural numbers. For example, the set of all integers is denumerable.