countable

English

English Wikipedia has articles on:

Countable noun and Countable set

Wikipedia Wikipedia

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

countable (not comparable)

Capable of being counted; having a quantity.
Antonyms: uncountable, countless, numberless, innumerable; see also Thesaurus:innumerable
(mathematics, of a set) Finite or countably infinite; having a one-to-one correspondence (bijection) with a subset of the natural numbers.
Antonyms: uncountable, infinite

Hypernyms: finite, countably infinite
2. (mathematics, of a set) Countably infinite; having a bijection with the natural numbers.
  Synonym: denumerable
  
  Antonyms: uncountable, non-denumerable
(grammar, of a noun) Freely usable with the indefinite article and with numbers.
Synonym: count

Antonyms: uncountable, noncount, non-count
- 2014, James Lambert, “Diachronic stability in Indian English lexis”, in World Englishes, page 112:
  In these extracts the word abuse is used in the sense of ‘an individual piece of invective’ or ‘an abusive comment’ and is clearly a countable noun.

The mathematics sense by which finite sets are countable is more common than the sense by which finite sets are not countable. To avoid ambiguity, the terms at most countable or countably infinite may be used.

capable of being counted, having a quantity

math: having a bijection with a subset of the natural numbers

Chinese:
Mandarin: 可數 / 可数 (zh) (kěshǔ)
Czech: spočetný
Dutch: aftelbaar (nl)
Finnish: numeroituva (fi)
French: dénombrable (fr)
Galician: contábel (gl) m or f
German: abzählbar (de)
Hungarian: megszámlálható (hu)
Italian: ^{(please verify)} finito o numerabile , (uncommon anglicism) ^{(please verify)} contabile (it)
Japanese: 可算 (ja) (kasan)
Persian: شمارشپذیر
Polish: przeliczalny
Portuguese: contável (pt)
Slovene: števen
Spanish: numerable
Swedish: uppräknelig (sv)

math: having a bijection with the natural numbers

grammar: freely used with numbers and the definite article

countable (plural countables)