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What does enumerable mean?

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

Adjective
  1. Capable of being enumerated; countable
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Gimlet rose to greet her, with anxiety showing in every one of the enumerable lines on his battered old face.
Any recursively enumerable set which is also co-recursively enumerable is a decidable set.
Then A2 is a complete computably enumerable subset of true second-order arithmetic.
All enumerable sets are equivalent to each other, but not to any finite set.
The paper investigated sets of indices of partial recursive functions and of recursively enumerable sets.
They are enumerable but naming a few of them as a sample of them seems timely.

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