denumerable
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English
Etymology
The word was introduced around the beginning of the 20th century, from Latin denumerō (“to count out”) + -able.
Adjective
denumerable (not comparable)
- (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.
- Synonyms: countable, countably infinite
- 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.