How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics ePub (Adobe DRM) download by William Byers

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

Princeton University Press
Publication date: May 2007
ISBN: 9781400833955
Digital Book format: ePub (Adobe DRM)

Buy ePub

List price:
$24.95
Our price:
$23.99

You save: $0.96 (4%)
GET THIS EBOOK
FOR FREE!
Join our Facebook sweepstake, share and
get 10 likes. Winners
get notified in 24H!
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.
Please sign in to review this product.
Devices:
How Mathematicians Think ePub (Adobe DRM) can be read on any device that can open ePub (Adobe DRM) files.

File Size:
2788 Kb
Language:
ENG
Copy From Text:
Disabled.
Printing:
Disabled.
How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics ePub (Adobe DRM) download by William Byers
Princeton University Press, May 2007
ISBN: 9781400833955
EAN:  2370004207674
ePub (Adobe DRM)
List Price: $24.95 eBook price: $23.99
How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics PDF (Adobe DRM) download by William Byers
Princeton University Press, May 2010
ISBN: 9781400833955
EAN:  9781400833955
PDF (Adobe DRM)
List Price: $24.95 eBook price: $23.99
Other books by William Byers
The Blind Spot: Science and the Crisis of Uncertainty PDF (Adobe DRM) download by William Byers
The Blind Spot
William Byers
Princeton University Press, April 2011
ISBN: 9780691146843
Format: PDF, ePub
List Price: $24.95 Our price: $23.99