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
- 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.
- Finite sets have a specific cardinality, while infinite sets may have varying degrees of cardinality.
- The cardinality of the set of natural numbers is infinite, denoted by the symbol ℵ₀.
- Sets with the same cardinality are said to be equipotent or equinumerous.
- The study of cardinality plays a crucial role in various branches of mathematics, including set theory and mathematical logic.
- The Cantor-Schröder-Bernstein theorem provides a method for comparing the cardinalities of two sets.
- 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.
