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

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.
1112061783
Abstract Sets and Finite Ordinals: An Introduction to the Study of Set Theory

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.
9.95 In Stock
Abstract Sets and Finite Ordinals: An Introduction to the Study of Set Theory

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

by G. B. Keene
Abstract Sets and Finite Ordinals: An Introduction to the Study of Set Theory

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

by G. B. Keene

Paperback

$9.95 
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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.

Product Details

ISBN-13: 9780486462493
Publisher: Dover Publications
Publication date: 12/10/2007
Series: Dover Books on Mathematics
Pages: 112
Product dimensions: 5.38(w) x 8.50(h) x (d)

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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