Classes of Sets, Measures, and Probability Spaces

Yuan Shih Chow and Henry Teicher
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Yuan Shih Chow: Columbia University, Department of Mathematics and Statistics
Henry Teicher: Rutgers University, Department of Statistics

Chapter 1 in Probability Theory, 1978, pp 1-29 from Springer

Abstract: 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.

Date: 1978
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DOI: 10.1007/978-1-4684-0062-5_1

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