Abstract Sets and Finite Ordinals: An Introduction to the Study of Set Theory

Author:   G B Keene ,  Mathematics Mathematics
Publisher:   Dover Publications Inc.
ISBN:  

9780486462493


Pages:   106
Publication Date:   28 December 2007
Format:   Paperback
Availability:   Awaiting stock   Availability explained


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Abstract Sets and Finite Ordinals: An Introduction to the Study of Set Theory


Overview

This text unites the logical and philosophical aspects of set theory in a manner intelligible both to mathematicians without training in formal logic and to logicians without a mathematical background. It combines an elementary level of treatment with the highest possible degree of logical rigor and precision.Starting with an explanation of all the basic logical terms and related operations, the text progresses through a stage-by-stage elaboration that proves the fundamental theorems of finite sets. It focuses on the Bernays theory of finite classes and finite sets, exploring the system's basis and development, including Stage I and Stage II theorems, the theory of finite ordinals, and the theory of finite classes and finite sets. This volume represents an excellent text for undergraduates studying intermediate or advanced logic as well as a fine reference for professional mathematicians.

Full Product Details

Author:   G B Keene ,  Mathematics Mathematics
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Dimensions:   Width: 13.60cm , Height: 0.70cm , Length: 21.60cm
Weight:   0.160kg
ISBN:  

9780486462493


ISBN 10:   0486462498
Pages:   106
Publication Date:   28 December 2007
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Out of Print
Availability:   Awaiting stock   Availability explained

Table of Contents

Preface Part I. The elements of set theory 1. The basic logical concepts 2. Operations on classes Part II. The Bernays theory of finite classes and finite sets Foreword Introduction 1. The basis of the system 2. The development of the system: stage I 3. The development of the system: stage II 4. The theory of finite ordinals 5. The theory of finite classes and finite sets References Index

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