Word.ws English Dictionary

denumerable

denumerable adjective: 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.

Adjective

denumerable (not comparable)

  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.
    • 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.

Synonyms of denumerable

Origin of denumerable

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

Words formed from denumerable

Questions about denumerable

What does denumerable mean?
Denumerable means 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.
What part of speech is denumerable?
Denumerable is an adjective.

Words near denumerable in the dictionary

  1. denumber
  2. denumbered
  3. denumbering
  4. denumbers
  5. denumerability
  6. denumerable
  7. denumerably
  8. denumeral
  9. denumerate
  10. denumerated
  11. denumerates

Source and license

Adapted from Wiktionary: denumerable (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “denumerable.” Word.ws, https://word.ws/denumerable. Based on Wiktionary, CC BY-SA 4.0.