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What does denumerable mean?

Looking for the meaning or definition of the word denumerable? Here's what it means.

Adjective
  1. (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.
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The paper discusses denumerable sets, i.e. those which are in 1-1 correspondence with the natural numbers.
We seem to need a further proof that being denumerable in size means being listable by means of a function.
The non-denumerable infinity of real numbers is much larger than the merely denumerable infinity of integers.

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