How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics
An amazing tour de force. Utterly new, utterly truthful.Reuben Hersh, author of What Is Mathematics, Really?"Byers gives a compelling presentation of mathematical thinking where ambiguity, contradiction, and paradox, rather than being eliminated, play a central creative role."David... show more
An amazing tour de force. Utterly new, utterly truthful.Reuben Hersh, author of What Is Mathematics, Really?"Byers gives a compelling presentation of mathematical thinking where ambiguity, contradiction, and paradox, rather than being eliminated, play a central creative role."David Ruelle, author of Chance and Chaos"This is an important book, one that should cause an epoch-making change in the way we think about mathematics. While mathematics is often presented as an immutable, absolute science in which theorems can be proved for all time in a platonic sense, here we see the creative, human aspect of mathematics and its paradoxes and conflicts. This has all the hallmarks of a must-read book."David Tall, coauthor of Algebraic Number Theory and Fermat's Last Theorem"I strongly recommend this book. The discussions of mathematical ambiguity, contradiction, and paradox are excellent. In addition to mathematics, the book draws on other sciences, as well as philosophy, literature, and history. The historical discussions are particularly interesting and are woven into the mathematics."Joseph Auslander, Professor Emeritus, University of Maryland
Publish date: May 2nd 2010
Publisher: Princeton University Press
Pages no: 424
Edition language: English
This book is hard for me to rate. It is not perfect, but I'm going to go ahead and give it five stars, because I think Byers is onto something. His ultimate argument is that mathematics, at its heart, is a creative activity. I don't think that should be a radical thesis, but apparently it is.What do...