cardinality Synonyms

No Synonyms and anytonyms found

cardinality Meaning

Wordnet

cardinality (n)

(mathematics) the number of elements in a set or group (considered as a property of that grouping)

cardinality Sentence Examples

  1. In set theory, cardinality refers to the number of elements in a set.
  2. The cardinality of the set {1, 2, 3} is three because it contains three distinct elements.
  3. Mathematicians use different symbols and notations to denote the cardinality of a set.
  4. The concept of cardinality is fundamental in understanding the size or magnitude of sets.
  5. Finite sets have a specific cardinality, while infinite sets may have varying degrees of cardinality.
  6. The cardinality of the set of natural numbers is infinite, denoted by the symbol ℵ₀.
  7. Sets with the same cardinality are said to be equipotent or equinumerous.
  8. The study of cardinality plays a crucial role in various branches of mathematics, including set theory and mathematical logic.
  9. The Cantor-Schröder-Bernstein theorem provides a method for comparing the cardinalities of two sets.
  10. Understanding cardinality is essential for exploring concepts such as countability and infinity in mathematics.

FAQs About the word cardinality

(mathematics) the number of elements in a set or group (considered as a property of that grouping)

No synonyms found.

No antonyms found.

In set theory, cardinality refers to the number of elements in a set.

The cardinality of the set {1, 2, 3} is three because it contains three distinct elements.

Mathematicians use different symbols and notations to denote the cardinality of a set.

The concept of cardinality is fundamental in understanding the size or magnitude of sets.