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Longman Dictionary of Contemporary English
countable
adjective
EXAMPLES FROM CORPUS
▪ For larger systems the bundles of energy were too numerous to be countable.
▪ It may be remarked that the computable numbers, on the other hand, are countable.
▪ Since the Turing machines are countable, it must certainly be the case that the computable real numbers are countable.
▪ The Church is made up of countable people and there is nothing particularly spiritual in not counting them.
▪ These terms should strictly only be used for the natural numbers or for other countable sets.
▪ We have now seen that the integers are countable, and so also are all the fractions.
▪ We have seen that the number of objects is actually countable in each case.
The Collaborative International Dictionary
Countable

Countable \Count"a*ble\ (-?-b'l), a. Capable of being numbered.

Wiktionary
countable

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

WordNet
countable

adj. that can be counted; "countable sins"; "numerable assets" [syn: denumerable, enumerable, numerable]

Wikipedia

Usage examples of "countable".

Weird Tommy, my sole employee, sat at his console humming to himself while he played some game involving Fibonacci Sequences and countable infinities with a color palette that would make an A.

The rain hit the windows in taps and spatters, small and countable, and then it was everywhere, banging the roof of the sunporch and filling the downspouts, and they sat and listened to it.

In her fractured English, Maria explained that this miraculous fourth ace of hearts meant that Barty would not only meet the right woman and have a lifelong romance worthy of epic poetry, would not only be showered all his life by the love of family, would not only be cherished by a large number of friends, but would also be loved by un countable people who would never meet him.

At least two conflicting generalised measures can be applied to T, the space of all topological spaces with countable basis.

Ye, and they looke so narowly uppon theyre proufittes, that the poore wyves must be countable to thym of every tenth eg, or elles she gettith not her rytes at ester, shal be taken as an heretike.