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Classes of Sets, Measures, and Probability Spaces

In: Probability Theory

Author

Listed:
  • Yuan Shih Chow

    (Columbia University, Department of Mathematics and Statistics)

  • Henry Teicher

    (Rutgers University, Department of Statistics)

Abstract

A set in the words of Georg Cantor, the founder of modern set theory, is a collection into a whole of definite, well-distinguished objects of our perception or thought, The objects are called elements and the set is the aggregate of these elements. It is very convenient to extend this notion and also envisage a set devoid of elements, a so-called empty set, and this will be denoted by Ø. Each element of a set appears only once therein and its order of appearance within the set is irrelevant. A set whose elements are themselves sets will be called a class.

Suggested Citation

  • Yuan Shih Chow & Henry Teicher, 1978. "Classes of Sets, Measures, and Probability Spaces," Springer Books, in: Probability Theory, chapter 1, pages 1-29, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4684-0062-5_1
    DOI: 10.1007/978-1-4684-0062-5_1
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