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

William Byers, "How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics"
2010 | pages: 424 | ISBN: 0691145997, 0691127387 | PDF | 3,5 mb

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 this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results.