1. the quality or state of being enumerable; the capacity to be counted or listed one by one.
Usage: formal; used in mathematics and logic
2. in mathematics and computer science, the property of a set or collection that can be put into one-to-one correspondence with the natural numbers.
Usage: technical; mathematics

Examples

• The enumerability of the integers is a fundamental concept in set theory.
• Mathematicians debate the enumerability of certain infinite sets.
• The enumerability of a collection determines whether it can be systematically listed.
• In computer science, enumerability relates to whether an algorithm can list all elements of a set.
• The enumerability of rational numbers was proven by Cantor's diagonal argument.