Abstract
We continue in what is called the “naive viewpoint” wherein a set is “primitive” and well-understood. Thus, for a given “set” 52, with “points” o), there are such things as:
subsetsA ⊂ B,read “A is a subset of B
”, if for each ω in A, ω is also in B or ω ∈ A implies ω ∈ B where ∈ is read “belongs to”;
sequencesof subsets where for each i = 1(1)∞, Aiis a
subset of Ω we write {Ai: i=1(1)∞} with: read
“such that”;
arbitraryfamiliesof subsets where for each i in an(other)
index set I, Aiis a subset of Ω.
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© 1989 Springer Science+Business Media New York
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Nguyen, H.T., Rogers, G.S. (1989). Some Set Theory. In: Fundamentals of Mathematical Statistics. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1013-9_22
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DOI: https://doi.org/10.1007/978-1-4612-1013-9_22
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6984-7
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