Models Of Peano Arithmetic

Van Dalen (D.), Doets (H.C.) and de Swart (H.): Sets: Naive, Axiomatic and Applied - A Basic Compendium with Exercises for Use in Set Theory for Non Logicians, Working and Teaching Mathematicians and Students , translated, edited and with additions by T. ter Haar, Pergamon Press , International Series in Pure and Applied Mathematics 1978
Contents, Chapitres : Contents, Preface, Ackowledgments, Introduction, xvii - Text, 342 pages - 1. Naive set theory : Some important sets and notations - Equality of sets - Subsets - The naive comprehension principle and the empty set - Union, intersection and relative complement - Power set - Unions and intersections of family - Ordered pairs - Cartesian product - Relations - Equivalence relations - Real numbers - Functions, mappings - Orderings - Equivalence, cardinality - Finite and indefinite - Denumerable sets - Uncountable sets - The paradoxes - The set theory of Zermelo-Fraenkel - Peano's arithmetic - 2. Axiomatic set theory : The axiom of regularity - Induction and recursion - Ordinal numbers - The cumulative hierarchy - Ordinal arithmetic - Normal operations - The reflection principle - Initial numbers - The axiom of choice - Cardinal numbers - Models - Measurable cardinals - 3. Applications : Filters - Boolean algebra - Order types - Induction definitions - Applications of the axiom of choice - The Borel hierarchy fine copy

1st edition Book Condition, Etat : Tres Bon hardcover, illustrated binding grand In-8 1 vol. - 359 pages Malicorne, France

[SW: Theorie des ensembles]

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