Definition of cardinality in English:
cardinality
nounPlural cardinalitieskɑːdɪˈnalɪtiˌkɑrdəˈnælədi
Mathematics The number of elements in a set or other grouping, as a property of that grouping.
Example sentencesExamples
- Frege's approach to providing a logical analysis of cardinality, the natural numbers, infinity and mathematical induction were groundbreaking, and have had a lasting importance within mathematical logic.
- Cantor conjectured that there are no infinite cardinalities between the size of the natural numbers and the size of the real numbers (and so there are no sets S as described above).
- We understand that sets have a cardinality, that is, that collections have a number associated with them and it doesn't really matter what the members of that set are.
- Hausdorff proved further results on the cardinality of Borel sets in 1916.
- The Skolem-Lowenheim theorem asserts that any first-order theory having an infinite model has other models of all smaller infinite cardinalities.
Definition of cardinality in US English:
cardinality
nounˌkɑrdəˈnælədiˌkärdəˈnalədē
Mathematics The number of elements in a set or other grouping, as a property of that grouping.
Example sentencesExamples
- Hausdorff proved further results on the cardinality of Borel sets in 1916.
- We understand that sets have a cardinality, that is, that collections have a number associated with them and it doesn't really matter what the members of that set are.
- Frege's approach to providing a logical analysis of cardinality, the natural numbers, infinity and mathematical induction were groundbreaking, and have had a lasting importance within mathematical logic.
- Cantor conjectured that there are no infinite cardinalities between the size of the natural numbers and the size of the real numbers (and so there are no sets S as described above).
- The Skolem-Lowenheim theorem asserts that any first-order theory having an infinite model has other models of all smaller infinite cardinalities.