Set Theory: An Introduction

Robert L. Vaught

ISBN 10: 0817642560 / ISBN 13: 9780817642563

Published by Birkhäuser Boston, Birkhäuser Boston, 2001

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9780817642563

Bibliographic Details

• Title: Set Theory: An Introduction
• Publisher: Birkhäuser Boston, Birkhäuser Boston
• Publication Date: 2001
• Language: English
• ISBN 10: 0817642560
• ISBN 13: 9780817642563
• Binding: Taschenbuch
• Edition: 2nd Edition
• Condition: Neu
• Dimensions: 233W x 155H x 11D millimeters 233 millimeters width by 155 millimeters height by 11 millimeters depth
• Weight: 283 grams

About this title

Synopsis

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.

From the Back Cover

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 selected solutions to the problems, increasing its usefulness as a teaching tool.