(set theory, of a set) Having infinitely many elements.
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For any infinite set, there is a 1-1 correspondence between it and at least one of its proper subsets. For example, there is a 1-1 correspondence between the set of natural numbers and the set of squares of natural numbers, which is a proper subset of the set of natural numbers.
dcterms:bibliographicCitation
2009, Brandon C. Look, “Symbolic Logic II, Lecture 2: Set Theory”, in www.uky.edu/~look[1], archived from the original on 19 June 2018: