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...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
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.