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ABSTRACT SETS AND FINITE ORDINALS AN INTRODUCTION TO THE STUDY OF SET THEORY

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Book Details

  • Publisher: Dover

  • Author: G. B. Keene

  • Language: English

  • Edition: 1

  • ISBN: 9780486462493

  • Number of Pages: 106

  • Cover: Paperback

  • Release Date: 10-12-2007

  • Package Dimensions: 8.3 x 5.3 x 0.3 inches


About The Book

Set Theory: A Logical Approach by G. B. Keene presents a unified view of the logical and philosophical aspects of set theory, making it accessible both to mathematicians with little formal training in logic and to logicians with no mathematical background. This text strikes a delicate balance between clarity and rigor, providing an elementary treatment of set theory while maintaining a high level of logical precision.

Keene begins with an explanation of the fundamental logical terms and operations, then progresses through the foundational theorems of finite sets, gradually building up to more advanced topics. The book delves into Bernays' theory of finite classes and sets, exploring key concepts such as the theory of finite ordinals and the development of stage-specific theorems. This well-organized approach makes the book suitable for undergraduates studying intermediate or advanced logic, and it also serves as an excellent reference for professional mathematicians. Whether you're looking for a textbook or a reference guide, this work offers both clarity and depth in the study of set theory.