"Mazur's book treats luck in a fresh light. The philosophy and emotional aspects (along with a little mathematics) are all there. The reader who delves in will be lucky indeed." --Persi Diaconis, Stanford University "Blending math with memoir, probability with psychology, and heuristics with history, Mazur has written an essential book for anyone who wants to get a better idea of why we consistently bet against the odds. From the betting window to Wall Street, he offers insights into both the mechanics of chance and the enduring appeal that luck holds for those who wager every day, whether they call it gambling, speculation, or just hoping for the best. Engaging and illuminating, this is a guaranteed winner." --David G. Schwartz, director of the Center for Gaming Research at the University of Nevada, Las Vegas, and author of Roll the Bones: The History of Gambling "This is a fascinating book. It's a fresh, funny, philosophical look at gambling by a mathematician who knows what he's talking about, and who has quite obviously thought about gambling for a long time. Mazur isn't afraid to make provocative, opinionated statements. I have not seen a gambling book like this before. I think it will attract a lot of readers." --Paul J. Nahin, author of Digital Dice "This book is significant in that it offers a lively and diverse collection of gambling-related ideas. Mazur's robust blend of anecdotes, history, psychology, and mathematics differs from other attempts to discuss these ideas. He offers plenty of insights into the questions and issues he raises." --Edward Packel, author of The Mathematics of Games and Gambling

When you think about it, it seems obvious: The only mathematical ideas that human beings can have are ideas that the human brain allows. We know a lot about what human ideas are like from research in Cognitive Science. Most ideas are unconscious, and that is no less true of the mathematical ones. Abstract ideas, for the most part, arise via conceptual metaphor-a mechanism for projecting embodied (that is, sensory-motor) reasoning to abstract reasoning. This book argues that conceptual metaphor plays a central, defining role in mathematical ideas within the cognitive unconscious-from arithmetic and algebra to sets and logic to infinity in all of its forms: transfinite numbers, points at infinity, infinitesimals, and so on. Even the real numbers, the imaginary numbers, trigonometry, and calculus are based on metaphorical ideas coming out of the way we function in the everyday physical world. This book is about mathematical ideas, about what mathematics means-and why. The authors believe that understanding the metaphors implicit in mathematics will make mathematics make more sense. Moreover, understanding mathematical ideas and how they arise from our bodies and brains will make it clear that the brain's mathematics is mathematics, the only mathematics we know or can know. -- Publisher description.