Standard Lemma guide

denumerable

adj · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

adj

Meaning 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.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: mathematics, sciences

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.

Meaning relationships

Synonyms: countable, countably infinite

Antonyms: none provided

2

adjective satellite

Meaning 2

that can be counted

Definition source: Princeton WordNet 3.0

Examples

  • countable sins
  • numerable assets

Meaning relationships

Synonyms: countable, enumerable, numerable

Antonyms: none provided

History

Etymology

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