Axiom of Choice [Paperback]

Horst Herrlich (Author)

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Product Details

Paperback: 208 pages
Publisher: Springer; 1 edition (July 6 2006)
Language: English
ISBN-10: 3540309896
ISBN-13: 978-3540309895
Product Dimensions: 23.4 x 15.6 x 1.2 cm
Shipping Weight: 340 g
Amazon Bestsellers Rank: #1,580,542 in Books (See Top 100 in Books)

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Review

From the reviews: "The book is an excellent introduction to the Axiom of Choice, its consequences and even its possible replacements. Although the author claims not to have written a textbook, compendium or history, the book might be used as any of these three. … there are many diagrams throughout the text and in the appendix detailing the relationships between the Axiom of Choice and its consequences. It certainly fulfills its stated purpose of whetting the reader’s appetite for studying the ZF universe." (Paul E. Howard, Mathematical Reviews, Issue 2007 f)

Product Description

AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. It is shunned by some, used indiscriminately by others. This treatise shows paradigmatically that disasters happen without AC and they happen with AC. Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.

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Amazon.com: 5.0 out of 5 stars (1 customer review)

4 of 6 people found the following review helpful

5.0 out of 5 stars An essential resource for this important Axiom of Mathematics, April 14 2008

By Rodrigo Hernandez "Topologist" - Published on Amazon.com

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This review is from: Axiom of Choice (Paperback)

As a graduate student in Mathematics, I felt self-assured that my knowledge in mathematics was complete enough to consider myself competent. This book showed me how wrong I was. Even though you are taught to notice when the axiom of choice is used, at least I never thought much about it. Even though I don't consider myself a fan of set theory, I think it is important to see these details at least once in your life. Anyway, give this book a chance if you can borrow it from your local library. You won't regret it, I can assure that.

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