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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

Inflected Forms

noun

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.

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

In this way, Cantor also studied the cardinality of infinite sets.

From Scientific American • Jul. 13, 2023

It states that there is no set whose cardinality lies between that of the natural numbers and that of the real numbers.

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

People of those times thought in terms of the old-style equivalence of cardinality and ordinality.

From "Zero: The Biography of a Dangerous Idea" by Charles Seife

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