cardinality

<mathematics> The number of elements in a set; intuitively, the set's "size" or "magnitude". Notation: a double bar over the symbol denoting the set; also "|S|" and "card S" when S is the symbol denoting the set. If two sets have the same number of elements (i.e. there is a bijection between them) then they have the same cardinality. A cardinality is thus an isomorphism class in the category of sets.

aleph 0 is defined as the cardinality of the first infinite ordinal, omega (the number of natural numbers).

[FOLDOC] and [Glossary of First-Order Logic]

<2001-03-16>

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Nearby terms: Cantor's theorem « capacitor « capitalism « cardinality » cardinality of an interpretation » cardinal number » Carnap Rudolf