Definition of DENUMERABLE

denumerable

Adjective Satellite

  • that can be counted

Adj

  • 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.

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.

Origin / Etymology

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

Synonyms

countable, enumerable, numerable, countably infinite

Scrabble Score: 16

denumerable: valid Scrabble (US) TWL Word
denumerable: valid Scrabble Word in Merriam-Webster MW Dictionary
denumerable: valid Scrabble Word in International Collins CSW Dictionary

Words With Friends Score: 21

denumerable: valid Words With Friends Word