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Hardcover Descartes' Dream: The World According to Mathematics Book

ISBN: 0151252602

ISBN13: 9780151252602

Descartes' Dream: The World According to Mathematics

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Format: Hardcover

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Book Overview

Rationalist philosopher and mathematician Rene Descartes visualized a world unified by mathematics, in which all intellectual issues could be resolved rationally by local computation. This series of provocative essays takes a modern look at the seventeenth-century thinker's dream, examining the physical and intellectual influences of mathematics on society, particularly in light of technological advances.

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I read this book over 20 yrs. ago, recommended by a friend who's a first rate mathematician, J. Palmore. I recall 2 things. First, that 'fairness' is not uniquely defined. Nice examples are given. Second, the 5 methods of mathematical proof: (i) proof by reference to the literature, (ii) proof by intimidation ("It's obvious!"), etc. Also recommended: to read in Descartes' memoirs the description of how he came on the idea to invent analytic geometry and derivatives of simple curves.
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