Word.ws English Dictionary

How to use cardinality in a sentence

12 example sentences · noun

Cardinality means the number of elements a given set contains. Example: “The empty set has a cardinality of zero.”

Examples of cardinality by meaning

nounThe number of elements a given set contains.

  • The empty set has a cardinality of zero.
  • The cardinality of a set A is the least ordinal α such that there exists a bijection between A and α.2005, Johan de Jong, “Set Theory”, in The Stacks Project, retrieved 26 Feb 2018
  • For fuzzy sets, the concept of set size or cardinality is both richer and more problematic than it is for crisp sets.2006, Michael Smithson, Jay Verkuilen, Fuzzy Set Theory: Applications in the Social Sciences, SAGE Publications, page 37

nounThe number of terms that can inhabit a type; the possible values of a type.

  • Such types have an infinite cardinality.2021, Martin Odersky et al., chapter 19, in Programming in Scala, 5th edition, Artima, →ISBN

More sentences with cardinality

  • For this reason we sometimes say that equivalent sets have the same cardinality.2000, N. L. Carothers, Real Analysis, page 18. From the entry equivalent
  • Consequently these sets have the same cardinality.2009, Marek Kuczma, edited by Attila Gilányi, An Introduction to the Theory of Functional Equations and Inequalities, 2nd edition…. From the entry ordinal number
  • The Lebesgue null sets include not only all countable sets but many sets having the cardinality of the continuum.1999, Gerald B. Folland, Real Analysis : Modern Techniques and Their Applications, 2nd edition, New York: John Wiley & Sons, Inc., →ISBN…. From the entry Cantor set
  • One way to observe this connection with mathematics is by mapping each type to its cardinality, a count of the inhabitants of that type.2021, Martin Odersky et al., chapter 19, in Programming in Scala, 5th edition, Artima, →ISBN. From the entry inhabitant
  • The basic idea is that two sets A and B have the same cardinality if there is a bijection from A to B.2013, William F. Basener, Topology and Its Applications, unnumbered page. From the entry bijection
  • After recourse to work of Rush and Shi mapping the anatomy of the lattice isomorphism, the upshot is a uniform proof that the cardinality statistic exhibits homomesy.2015, David B. Rush, Kelvin Wang, “On Orbits of Order Ideals of Minuscule Posets II: Homomesy”, in arXiv. From the entry homomesic
  • The cardinality determines the number of users to whom the entire set of SSD roles could be assigned, thus violating SSD, but in a known and limited way.2012, Alessandro Colantonio, Roberto Di Pietro, Alberto Ocello, Role Mining in Business: Taming Role-based Access Control Administration…. From the entry SSD
  • Administrative functions include all those associated with Core RBAC, as well as creating, delting, and modifying an SSD relation, as well as setting the cardinality of the SSD role set.2012, Alessandro Colantonio, Roberto Di Pietro, Alberto Ocello, Role Mining in Business: Taming Role-based Access Control Administration…. From the entry SSD

Meaning of cardinality

  1. noun The number of elements a given set contains.
  2. noun The number of terms that can inhabit a type; the possible values of a type.
  3. noun The property of a relationship between a database table and another one, specifying whether it is one-to-one, one-to-many, many-to-one, or many-to-many.

Full definition of cardinality

Questions about cardinality in a sentence

How do you use cardinality in a sentence?
Cardinality is used as a noun. For example: “The empty set has a cardinality of zero.”
What is a short sentence with cardinality?
“Such types have an infinite cardinality.”
What does cardinality mean?
Cardinality means the number of elements a given set contains.

Source and license

Adapted from Wiktionary: cardinality (page history and authors) and the entries each sentence comes from. Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws chose the sentences, left out offensive ones and quotations older than 1900, and marked the word in each. Wiktionary data of 2026-09-02.

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Cite this page: “How to use cardinality in a sentence.” Word.ws, https://word.ws/sentences/cardinality. Based on Wiktionary, CC BY-SA 4.0.