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[kahr-dn-al-i-tee] /ˌkɑr dnˈæl ɪ ti/
noun, plural cardinalities. Mathematics.
(of a set) the cardinal number indicating the number of elements in the set.
Origin of cardinality
1930-35; cardinal + -ity Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2017.
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British Dictionary definitions for cardinality


(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
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Word Origin and History for cardinality

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

Online Etymology Dictionary, © 2010 Douglas Harper
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cardinality in Technology

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).

The Free On-line Dictionary of Computing, © Denis Howe 2010
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