Set Theory and the Continuum Problem

Martin Davis

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Idioma: inglés

Editorial: Dover Publications Inc., 2010

0486474844 / 9780486474847

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Descripción del artículo del vendedor

A lucid, elegant, and complete survey of set theory, this volume is drawn from the authors' substantial teaching experience. The first of three parts focuses on axiomatic set theory. The second part explores the consistency of the continuum hypothesis, and the final section examines forcing and independence results. Part One's focus on axiomatic set theory features nine chapters that examine problems related to size comparisons between infinite sets, basics of class theory, and natural numbers. Additional topics include author Raymond Smullyan's double induction principle, super induction, ordinal numbers, order isomorphism and transfinite recursion, and the axiom of foundation and cardinals. The six chapters of Part Two address Mostowski-Shepherdson mappings, reflection principles, constructible sets and constructibility, and the continuum hypothesis. The text concludes with a seven-chapter exploration of forcing and independence results. This treatment is noteworthy for its clear explanations of highly technical proofs and its discussions of countability, uncountability, and mathematical induction, which are simultaneously charming for experts and understandable to graduate students of mathematics.…

N° de ref. del artículo 00104629186

Título
Set Theory and the Continuum Problem
Autor
Martin Davis
Editorial
Dover Publications Inc.
Año de publicación
2010
Estado
Fair
Encuadernación
Paperback
Idioma
inglés
ISBN 10
0486474844
ISBN 13
9780486474847

World of Books (was SecondSale)

Montgomery, IL, Estados Unidos de America

Vendedor de 5 estrellas

Vendedor de AbeBooks desde el 20 de diciembre de 2007

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Founded in 2002, World of Books is a leading online destination for buying and selling both preloved and new books, committed to making sustainable reading accessible to all. With a mission to help people read more and waste less, World of Books offers a huge range of affordable, high-quality books — giving both new and preloved titles a second life. The company also operates World of Books – Sell Your Books, an easy-to-use platform that allows customers to trade in unwanted books for cash, helping to keep books in circulation while promoting sustainability. As a Certified B Corp, World of Books is driven by a vision to become the world’s largest and most sustainable dedicated online bookstore. The company measures its success through the positive environmental impact it creates, the value it provides to customers, and its ability to operate profitably while supporting its sustainable mission …

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