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Pronunciation varies by accent · adjective
(mathematics) Capable of being assigned a bijection to the natural numbers. Applied to sets which are not finite, but have a one-to-one mapping to the natural numbers..
The empty set is not denumerable because it is finite; the rational numbers are, surprisingly, denumerable because every possible fraction can be assigned a natural number and vice versa.
Use denumerable when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Denumerable means (mathematics) Capable of being assigned a bijection to the natural numbers. Applied to sets which are not finite, but have a one-to-one mapping to the natural numbers..
Common synonyms include countable, countably infinite, calculable, numerable.
The opposite depends on the specific sense.
The empty set is not denumerable because it is finite; the rational numbers are, surprisingly, denumerable because every possible fraction can be assigned a natural number and vice versa.
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