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(of a set) the cardinal number indicating the number of elements in the set.
(maths) the property of possessing a cardinal number
(maths, logic) (of a class) the cardinal number associated with the given class. Two classes have the same cardinality if they can be put in one-to-one correspondence

1520s, “condition of being a cardinal,” from cardinal (n.) + -ity. Mathematical sense is from 1935 (see cardinal (adj.)).

The number of elements in a 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).


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