countable

From Middle English countable, equivalent to count (“to enumerate”) +‎ -able.

• IPA^(key): /ˈkaʊntəbəl/
  • (US) IPA^(key): [ˈkʰaʊn(ɾ)əbɫ̩]

countable (not comparable)

1. Capable of being counted; having a quantity.
2. (mathematics, of a set) Finite or countably infinite; having a one-to-one correspondence (bijection) with a subset of the natural numbers.
3. (mathematics, of a set) Countably infinite; having a bijection with the natural numbers.
4. (grammar, of a noun) Freely usable with the indefinite article and with numbers, and therefore having a plural form.

The mathematics sense by which finite sets are countable is more common than the sense by which finite sets are not countable.

• (having a bijection with the natural numbers): denumerable

• uncountable
• non-denumerable

• (countably infinite): infinite

• (having a bijection with a subset of the natural numbers): finite, countably infinite

• countable set
• countable additivity

• countability

• mass noun
• plurale tantum
• denumerability