What does "denumerable" mean?

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.

Denumerable

Q: What is a synonym for "denumerable"?

Common synonyms include: calculable, countable, countable, countable, countably infinite, countably infinite.

adj

adj ·Rare ·Advanced level

Definitions

Adjective

1
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. not-comparable
"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."

Adjective

1
that can be counted wordnet

Synonyms

All synonyms

calculable countable countable countable countably infinite countably infinite

Example

More examples

"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."

Etymology

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

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.