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Enumerable vs Denumerable - What's the difference?

enumerable | denumerable |

As adjectives the difference between enumerable and denumerable

is that enumerable is capable of being enumerated; 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.

enumerable

English

Adjective

(-)
  • Capable of being enumerated; countable

    • 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