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We found 4 dictionaries that define the word countably infinite:

General (2 matching dictionaries)
  1. countably infinite: Wiktionary
  2. Countably infinite: Wikipedia, the Free Encyclopedia

Science (2 matching dictionaries)
  1. Countably Infinite: Eric Weisstein's World of Mathematics
  2. countably infinite: PlanetMath Encyclopedia

Definitions from Wiktionary (countably infinite)

adjective:  (set theory, of a set) That is both countable and infinite; having the same cardinality as the set of natural numbers; formally, such that a bijection exists from ℕ to the set.

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