1. the quality or state of being countable; the ability to be counted or enumerated
Usage: linguistics: refers to whether a noun can be used with numbers and the indefinite article 'a/an'; mathematics: refers to whether a set can be put into one-to-one correspondence with the natural numbers

Examples

• The countability of nouns in English determines whether they can be pluralized and used with numbers.
• In mathematics, the countability of infinite sets is a fundamental concept in set theory.
• The countability of the integers was proven by Georg Cantor in the 19th century.
• Linguists distinguish between countable nouns like 'apple' and uncountable nouns like 'water' based on countability.
• The countability of a set depends on whether its elements can be listed in a sequence.