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cardinality

American  
[kahr-dn-al-i-tee] / ˌkɑr dnˈæl ɪ ti /

noun

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


cardinality British  
/ ˌkɑːdɪˈnælɪtɪ /

noun

  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" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Other Word Forms

Noun Inflected Forms

Etymology

Origin of cardinality

First recorded in 1930–35; cardinal + -ity

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:

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

In order to investigate the cardinality of the real numbers in more detail, you must extend the current set theory to include other basic statements.

From Scientific American Jul. 13, 2023

The converse is not true: a subset of the x-y plane with a large cardinality need be neither measurable nor of large measure.

From Scientific American Aug. 16, 2021

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

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