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Numerable vs Denumerable - What's the difference?

numerable | denumerable |

In mathematics terms the difference between numerable and denumerable

is that numerable is in one to one correspondence with the set of natural integers while denumerable is capable of being assigned numbers from the natural numbers. Especially applied to sets where finite sets and sets that have a one-to-one mapping to the natural numbers are called denumerable.

As adjectives the difference between numerable and denumerable

is that numerable is able to be counted; countable while denumerable is capable of being assigned numbers from the natural numbers. Especially applied to sets where finite sets and sets that have a one-to-one mapping to the natural numbers are called denumerable.

numerable

English

Adjective

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

    • Antonyms

    * innumerable * uncountable

    denumerable

    English

    (wikipedia denumerable)

    Adjective

    (-)
  • (mathematics) Capable of being assigned numbers from the natural numbers. Especially applied to sets where finite sets and sets that have a one-to-one mapping to the natural numbers are called denumerable.
    • The empty set is denumerable''' because it is finite; the rational numbers are, surprisingly, '''denumerable because every possible fraction can be assigned a number.

    Derived terms

    *

    Synonyms

    * countable

    See also

    * countable set * uncountable set