different between numerable vs denumerable

English

Etymology

From Latin numer?bilis.

Adjective

numerable (comparative more numerable, superlative most numerable)

1. Able to be counted; countable.
2. (mathematics) In one to one correspondence with the set of natural integers.
3. (comparable, nonstandard) numerous

Antonyms

• innumerable
• uncountable

Translations

Spanish

Etymology

From Latin numer?bilis.

Pronunciation

• IPA^(key): /nume??able/, [nu.me??a.??le]

Adjective

numerable (plural numerables)

1. countable; numerable

   Antonyms: innumerable, incontable

English

Etymology

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

Adjective

denumerable (not comparable)

1. (mathematics) 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

• countable
• countably infinite

Derived terms

• denumerability

See also

• countable set
• uncountable set