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The word is used since the beginning of the 20th century in Mathematics. It has been built from the Latin verb denumerare meaning to count out.


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.


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