Denumeration
Denumeration is the process of listing the elements of a set in a sequence that assigns to each element a unique natural number. In mathematics, to denumerate a set means to establish a bijection between the natural numbers N and the set. Such a bijection provides an explicit enumeration s0, s1, s2, ... of the elements.
A set that admits such a bijection is called denumerable, typically meaning countably infinite. Finite sets
Examples: The set of natural numbers N is denumerable by identity. The integers Z are denumerable, with
Applications: Denumeration is a central notion in set theory and analysis for distinguishing countable from uncountable
See also: countable, countably infinite, Cantor's diagonal argument, enumerability.