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Set Theory : An Introduction by Robert L. Vaught (2001, Trade Paperback)

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Set Theory : An Introduction, Paperback by Vaught, Robert L., ISBN 0817642560, ISBN-13 9780817642563, Brand New, Free shipping in the US An excellent undergraduate text on set theory that could be used in courses taught in mathematics and philosophy departments. The intuitive development in the first chapters also makes th suitable for self study."The volume is in a clear and interesting style and is highly recommended to undergraduate students of mathematics as well as philosophy." --ACTA SCI. MATH.

About this product

Product Identifiers

PublisherBirkhäuser Boston

ISBN-100817642560

ISBN-139780817642563

eBay Product ID (ePID)2223269

Product Key Features

Number of PagesX, 167 Pages

LanguageEnglish

Publication NameSet Theory : an Introduction

SubjectSet Theory, Logic

Publication Year2001

FeaturesRevised

TypeTextbook

AuthorRobert L. Vaught

Subject AreaMathematics

FormatTrade Paperback

Dimensions

Item Weight20.8 Oz

Item Length11 in

Item Width8.5 in

Additional Product Features

Edition Number2

Intended AudienceScholarly & Professional

Reviews"One of [the book's] strengths is the author's voice. His prose is clear and correct...The text is quite concise." --Mathematical Reviews "The volume is in a clear and interesting style and is highly recommended to undergraduate students of mathematics as well as philosophy." --Acta Sci. Math. (on the first edition), "One of [the book's] strengths is the author's voice. His prose is clear and correct...The text is quite concise."--Mathematical Reviews "The volume is in a clear and interesting style and is highly recommended to undergraduate students of mathematics as well as philosophy." --Acta Sci. Math. (on the first edition)

Dewey Edition20

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal511.3/22

Edition DescriptionRevised edition

Table Of Content1. Sets and Relations and Operations among them.- 2. Cardinal Numbers and Finite Sets.- 3. The Number Systems.- 4. More on Cardinal Numbers.- 5. Orders and Order Types.- 6. Axiomatic Set Theory.- 7. Well-orderings, Cardinals, and Ordinals.- 8. The Axiom of Regularity.- 9. Logic and Formalized Theories.- 10. Independence Proofs.- 11. More on Cardinals and Ordinals.- Proofs of some results in Chapter 9.- Other References.- Recommendations for more advanced reading.- Solutions to Selected Problems.

SynopsisBy its nature, set theory does not depend on any previous mathematical knowl- edge. Hence, an individual wanting to read this book can best find out if he is ready to do so by trying to read the first ten or twenty pages of Chapter 1. As a textbook, the book can serve for a course at the junior or senior level. If a course covers only some of the chapters, the author hopes that the student will read the rest himself in the next year or two. Set theory has always been a sub- ject which people find pleasant to study at least partly by themselves. Chapters 1-7, or perhaps 1-8, present the core of the subject. (Chapter 8 is a short, easy discussion of the axiom of regularity). Even a hurried course should try to cover most of this core (of which more is said below). Chapter 9 presents the logic needed for a fully axiomatic set th ory and especially for independence or consistency results. Chapter 10 gives von Neumann's proof of the relative consistency of the regularity axiom and three similar related results. Von Neumann's 'inner model' proof is easy to grasp and yet it prepares one for the famous and more difficult work of GOdel and Cohen, which are the main topics of any book or course in set theory at the next level., By its nature, set theory does not depend on any previous mathematical knowl edge. Hence, an individual wanting to read this book can best find out if he is ready to do so by trying to read the first ten or twenty pages of Chapter 1. As a textbook, the book can serve for a course at the junior or senior level. If a course covers only some of the chapters, the author hopes that the student will read the rest himself in the next year or two. Set theory has always been a sub ject which people find pleasant to study at least partly by themselves. Chapters 1-7, or perhaps 1-8, present the core of the subject. (Chapter 8 is a short, easy discussion of the axiom of regularity). Even a hurried course should try to cover most of this core (of which more is said below). Chapter 9 presents the logic needed for a fully axiomatic set th~ory and especially for independence or consistency results. Chapter 10 gives von Neumann's proof of the relative consistency of the regularity axiom and three similar related results. Von Neumann's 'inner model' proof is easy to grasp and yet it prepares one for the famous and more difficult work of GOdel and Cohen, which are the main topics of any book or course in set theory at the next level., Here is an excellent undergraduate level text on set theory written in a lively, interesting and good-humored style. This book corresponds to a view of the subject from someone who has thought deeply about this and many other aspects of mathematical logic. The second edition has been expanded to include solutions to the problems, increasing the book's usefulness as a teaching tool., An excellent undergraduate text on set theory that could be used in courses taught in mathematics and philosophy departments. The intuitive development in the first chapters also makes the book suitable for self study. "The volume is in a clear and interesting style and is highly recommended to undergraduate students of mathematics as well as philosophy." --ACTA SCI. MATH.

LC Classification NumberQA8.9-10.3