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Dictionary

Words, grammatical forms and meanings linked to the ontology.

denumerable en · ADJ

Etymology

The word was introduced around the beginning of the 20th century, from Latin denumerō (“to count out”) + -able.

Meanings

  1. (not-comparable) 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.

Deriveds

nondenumerable · non-denumerable · denumerably · denumerability · indenumerable

Relateds

uncountable set · enumerable · countable set

Synonyms

countably infinite · countable