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# How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics

To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of

...moreHardcover, 424 pages

Published
May 27th 2007
by Princeton University Press
(first published January 1st 2007)

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## Community Reviews

(showing 1-30)

Dec 27, 2010
Jonathan Peto
rated it
it was amazing
·
review of another edition

Shelves:
nonfiction,
math

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 does Byers do? He undercuts the notion that math is purely logical, completely rational. He mines the history of mathematics for its great ideas and uses them as examples of how ambiguity, contradiction ...more

What does Byers do? He undercuts the notion that math is purely logical, completely rational. He mines the history of mathematics for its great ideas and uses them as examples of how ambiguity, contradiction ...more

*How Mathematicians Think*. In short, this book helped me wrap my mind around what mathematics really is.

I have always had a love/hate relationship with mathematics. Throughout my formal education, I found math to be intimidating, especially in my undergraduate and graduate studies. After rea ...more

Great stuff, recommended for anyone interested in mathematics, its differences in science from other branches, human logic and soul beneath it, too.

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