cardinality: meaning, definition, pronunciation and examples

C2
UK/ˌkɑːdɪˈnæləti/US/ˌkɑːrdɪˈnæləti/

Formal, Technical, Academic

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Quick answer

What does “cardinality” mean?

The number of elements in a set.

Audio

Pronunciation

Definition

Meaning and Definition

The number of elements in a set.

In mathematics and computer science, the measure of the size of a set, which can be finite, countably infinite, or uncountably infinite. In database theory, it refers to the uniqueness of data values in a column.

Dialectal Variation

British vs American Usage

Differences

No significant differences in meaning or usage. Spelling and pronunciation are consistent.

Connotations

Purely technical with no regional connotations.

Frequency

Equally low frequency in both varieties, confined to specialised fields.

Grammar

How to Use “cardinality” in a Sentence

The cardinality of [SET][SET] has a cardinality of [NUMBER]to compare cardinalities

Vocabulary

Collocations

strong
finite cardinalityinfinite cardinalitysame cardinalitydifferent cardinality
medium
determine the cardinalitycardinality of the sethigh cardinalitylow cardinality
weak
exact cardinalitycardinality constraintscardinality estimation

Usage

Meaning in Context

Business

Rare. Might appear in data analytics discussions regarding database column uniqueness.

Academic

Common in mathematics, computer science, and logic papers and textbooks.

Everyday

Virtually never used.

Technical

Core term in set theory, database design, and formal logic.

Vocabulary

Synonyms of “cardinality”

Strong

Neutral

sizenumber of elements

Vocabulary

Antonyms of “cardinality”

(conceptually) emptinesszero

Watch out

Common Mistakes When Using “cardinality”

  • Using 'cardinality' to mean 'importance' (confusion with 'cardinal' as in 'cardinal rule').
  • Pronouncing it as /kɑːdɪˈnælɪti/ (five syllables) instead of the correct six syllables /ˌkɑːdɪˈnæləti/.

FAQ

Frequently Asked Questions

No, it is a specialised technical term used primarily in mathematics, computer science, and logic.

Only in a highly technical sense, e.g., 'the cardinality of the group of attendees was 50.' In normal speech, 'number' or 'count' is used.

A cardinal number (like 1, 2, 3) answers 'how many?'. Cardinality is the property measured by a cardinal number; it is the 'size' of a set.

Yes, the plural is 'cardinalities', used when discussing and comparing the sizes of multiple sets.

The number of elements in a set.

Cardinality is usually formal, technical, academic in register.

Cardinality: in British English it is pronounced /ˌkɑːdɪˈnæləti/, and in American English it is pronounced /ˌkɑːrdɪˈnæləti/. Tap the audio buttons above to hear it.

Phrases

Idioms & Phrases

  • None

Learning

Memory Aids

Mnemonic

Think of a CARDINAL (a high-ranking bishop) counting the number of people in his church. CARDINALity is about counting items in a set.

Conceptual Metaphor

SIZE IS NUMBER (The size of a collection is conceptualised as a number).

Practice

Quiz

Fill in the gap
In set theory, the of the set {apple, banana, cherry} is three.
Multiple Choice

In which field is the term 'cardinality' MOST frequently used?