Abstract
Let X be an arbitrary non-empty set and let P (X) (the power set of X) be the class of all subsets of X. There is a way of introducing a Boolean structure into P (X), as follows. The distinguished elements are defined by
and, if P and Q are subsets of X, then, by definition,
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© 1974 Springer-Verlag New York Inc.
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Halmos, P.R. (1974). Boolean algebras. In: Lectures on Boolean Algebras. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9855-7_2
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DOI: https://doi.org/10.1007/978-1-4612-9855-7_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90094-0
Online ISBN: 978-1-4612-9855-7
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