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1 definition found
 for ''infinite set''
From The Free On-line Dictionary of Computing (30 December 2018) :

  infinite set
      A set with an infinite number of elements.
     There are several possible definitions, e.g.
     (i) ("Dedekind infinite") A set X is infinite if there exists
     a bijection (one-to-one mapping) between X and some proper
     subset of X.
     (ii) A set X is infinite if there exists an injection from N
     (the set of natural numbers) to X.
     In the presence of the Axiom of Choice all such definitions
     are equivalent.

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