noun
- The quality or property of being denumerable; the state of being countable or capable of being put into one-to-one correspondence with the natural numbers.
Usage: mathematics; formal
Examples
- The denumerability of the integers is a fundamental concept in set theory.
- Mathematicians proved the denumerability of the rational numbers by constructing a systematic enumeration.
- The denumerability of infinite sets depends on whether they can be mapped to the natural numbers.
- Understanding denumerability is essential for studying the hierarchy of infinities.