cardinality
Americannoun
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cardinalities
plural
noun
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maths the property of possessing a cardinal number
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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
Other Word Forms
Noun Inflected Forms
Etymology
Origin of cardinality
Example Sentences
Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.
See Examples For:
But if you can assign exactly one seat to each person, then both sets are exactly the same size and thus have the same cardinality.
From Scientific American ● Jul. 13, 2023
Conversely, however, you could postulate that there are other infinities between the cardinality of the natural and real numbers—and encounter no problems either.
From Scientific American ● Jul. 13, 2023
Cantor was able to prove that the cardinality of the real numbers is necessarily greater than that of the natural ones.
From Scientific American ● May 23, 2023
Alternatively, it could be termed something else: cardinality, for example.
From Scientific American ● Aug. 16, 2021
But as zero came into the fold, the neat relationship between a number’s cardinality and its ordinality was ruined.
From "Zero: The Biography of a Dangerous Idea" by Charles Seife
Even if that remains a mystery, it has long been known that there are sets with much larger cardinalities than that of the set of real numbers—even though the real numbers are themselves infinite.
From Scientific American ● Jul. 13, 2023
For example, in addition to the cardinal numbers described here, many other infinite cardinalities lying between ℵ1 and the continuum have been discovered since the 1940s.
From Scientific American ● Aug. 16, 2021
The diagram thus comprises 12 uncountable cardinalities of which no more than 10 can be simultaneously different.
From Scientific American ● Aug. 16, 2021
Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023
Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.
