Axiom of Choice (Lecture Notes in Mathematics Book 1876) 2006th Edition by Horst Herrlich (PDF)

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐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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