noun, plural cardinalities. Mathematics.
(of a set) the cardinal number indicating the number of elements in the set.

1930–35; cardinal + -ity Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
Cite This Source Link To cardinality
World English Dictionary
cardinality (ˌkɑːdɪˈnælɪtɪ)
1.  maths the property of possessing a cardinal number
2.  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 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
Cite This Source
Word Origin & History

1520s, "condition of being a cardinal," from cardinal (q.v.) + -ity. Mathematical sense is from 1935.
Online Etymology Dictionary, © 2010 Douglas Harper
Cite This Source
Computing Dictionary

cardinality definition

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
Cite This Source
Example sentences
The cardinality of a finite set is simply the number of members in it.
Since cardinality is such a common concept in mathematics, a variety of names are in use.
Copyright © 2014, LLC. All rights reserved.
  • Please Login or Sign Up to use the Recent Searches feature