Naive Set Theory

P. R. Halmos

ISBN 10: 0387900926 / ISBN 13: 9780387900926

Published by Springer-Verlag New York Inc., US, 1998

About this Item

From the Reviews: ".He (the author) uses the language and notation of ordinary informal mathematics to state the basic set-theoretic facts which a beginning student of advanced mathematics needs to know.Because of the informal method of presentation, the book is eminently suited for use as a textbook or for self-study. The reader should derive from this volume a maximum of understanding of the theorems of set theory and of their basic importance in the study of mathematics. " Philosophy and Phenomenological Research.

Seller Inventory # LU-9780387900926

Bibliographic Details

• Title: Naive Set Theory
• Publisher: Springer-Verlag New York Inc., US
• Publication Date: 1998
• Language: English
• ISBN 10: 0387900926
• ISBN 13: 9780387900926
• Binding: Hardback
• Edition: 1974th.
• Condition: New
• Dimensions: 15.24W x 0.76H x 22.86D centimeters 15.24 centimeters width by 0.76 centimeters height by 22.86 centimeters depth
• Weight: 348 grams

About this title

Synopsis

Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some. This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set­ theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here. Scholarly bibliographical credits and references are out of place in a purely expository book such as this one. The student who gets interested in set theory for its own sake should know, however, that there is much more to the subject than there is in this book. One of the most beautiful sources of set-theoretic wisdom is still Hausdorff's Set theory. A recent and highly readable addition to the literature, with an extensive and up-to-date bibliography, is Axiomatic set theory by Suppes.

Review

From the reviews:

“This book is a very specialized but broadly useful introduction to set theory. It is aimed at ‘the beginning student of advanced mathematics’ ... who wants to understand the set-theoretic underpinnings of the mathematics he already knows or will learn soon. It is also useful to the professional mathematician who knew these underpinnings at one time but has now forgotten exactly how they go. ... A good reference for how set theory is used in other parts of mathematics ... .” (Allen Stenger, The Mathematical Association of America, September, 2011)