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Cardinal value

Definition

Cardinal value denotes the size or number of elements in a set. It is often used to compare the sizes of different sets.

5 Must Know Facts For Your Next Test

  1. Cardinal values can be finite or infinite.
  2. Two sets have the same cardinal value if there exists a one-to-one correspondence between them.
  3. The cardinality of an empty set is zero.
  4. For finite sets, the cardinal value is simply the count of distinct elements.
  5. The symbol |A| represents the cardinal value of set A.

Review Questions

  • What does it mean if two sets have the same cardinal value?
  • How do you denote the cardinal value of a set A?
  • What is the cardinality of an empty set?

Related terms

Set: A collection of distinct elements considered as an object.

Finite Set: A set with a countable number of elements.

Infinite Set: A set that has an uncountable number of elements.



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ยฉ 2024 Fiveable Inc. All rights reserved.

APยฎ and SATยฎ are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.