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Sets : naïve, axiomatic, and applied : a basic compendium with exercises for use in set theory for non logicians, working and teaching mathematicians and students

by D. van Dalen

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Sets: Nai ve, Axiomatic and Applied is a basic compendium on nai ve, axiomatic, and applied set theory and covers topics ranging from Boolean operations to union, intersection, and relative complement as well as the reflection principle, measurable cardinals, and models of set theory. Applications of the axiom of choice are also discussed, along with infinite games and the axiom of determinateness.Comprised of three chapters, this volume begins with an overview of nai ve set theory and some important sets and notations. The equality of sets, subsets, and ordered pairs are considered, together wit… (more)
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Sets: Nai ve, Axiomatic and Applied is a basic compendium on nai ve, axiomatic, and applied set theory and covers topics ranging from Boolean operations to union, intersection, and relative complement as well as the reflection principle, measurable cardinals, and models of set theory. Applications of the axiom of choice are also discussed, along with infinite games and the axiom of determinateness.Comprised of three chapters, this volume begins with an overview of nai ve set theory and some important sets and notations. The equality of sets, subsets, and ordered pairs are considered, together wit

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