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How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics by William Byers (Paperback, 2010)
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About this product
Product Information
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. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a final scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.Product Identifiers
PublisherPrinceton University Press
ISBN-139780691145990
eBay Product ID (ePID)92506742
Product Key Features
Number of Pages424 Pages
LanguageEnglish
Publication NameHow Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics
Publication Year2010
SubjectMathematics
TypeTextbook
AuthorWilliam Byers
FormatPaperback
Dimensions
Item Height235 mm
Item Weight595 g
Item Width152 mm
Additional Product Features
Country/Region of ManufactureUnited States
Title_AuthorWilliam Byers
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