Reasoning with the Infinite: From the Closed World to the Mathematical Universe
University of Chicago Press, 1998 - 216 Seiten
Until the Scientific Revolution, the nature and motions of heavenly objects were mysterious and unpredictable. The Scientific Revolution was revolutionary in part because it saw the advent of many mathematical tools—chief among them the calculus—that natural philosophers could use to explain and predict these cosmic motions. Michel Blay traces the origins of this mathematization of the world, from Galileo to Newton and Laplace, and considers the profound philosophical consequences of submitting the infinite to rational analysis.
"One of Michael Blay's many fine achievements in Reasoning with the Infinite is to make us realize how velocity, and later instantaneous velocity, came to play a vital part in the development of a rigorous mathematical science of motion."—Margaret Wertheim, New Scientist
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Infinity Eliminated or Huygenss Theory of the Motion of Heavy Bodies
2 Mathematical Speculations about Curvilinear Falls
3 The Deductive Scheme of the Science of the Motion of Heavy Bodies
First and Last Ratios in the Newtonian Theory of Central Forces
Centrifugal Force and Weight
3 The Deductive Scheme of Newtons Principia
The Science of Motion in the Workshops of Infinity
2 Ratios of the Beginnings Ends and Continuous Evolution of Motions
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