Denumerable meaning

dĭ-no͝omər-ə-bəl, -nyo͝o-
Capable of being put into one-to-one correspondence with the positive integers; countable.
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Countable.
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(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.

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Origin of denumerable

  • From denumerate to count from Late Latin dēnumerāre dēnumerāt- alteration of Latin dīnumerāre dī-, dis- dis- numerāre to number numerate

    From American Heritage Dictionary of the English Language, 5th Edition