Reasoning with the Infinite: From the Closed World to the Mathematical Universe

Voorkant
University of Chicago Press, 10 nov. 1999 - 216 pagina's
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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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Inhoudsopgave

Introduction
1
Infinity Eliminated or Huygenss Theory of the Motion of Heavy Bodies
13
2 Mathematical Speculations about Curvilinear Falls
18
3 The Deductive Scheme of the Science of the Motion of Heavy Bodies
27
First and Last Ratios in the Newtonian Theory of Central Forces
38
Centrifugal Force and Weight
43
3 The Deductive Scheme of Newtons Principia
52
The Science of Motion in the Workshops of Infinity
70
Motion Algorithmized
108
2 The New Algorithmic Science of Motion
118
Fontenelle and the Reasons of Infinity
131
1 The Mathematics of Infinity
133
2 Mathematical Physics and the Rationalization of Infinites
145
Notes
165
Bibliography
193
Index
211

2 Ratios of the Beginnings Ends and Continuous Evolution of Motions
90

Overige edities - Alles weergeven

Veelvoorkomende woorden en zinsdelen

Populaire passages

Pagina 198 - Discours de la méthode pour bien conduire sa raison et chercher la vérité dans les sciences. Plus la Dioptrique, les Météores et la Géométrie, qui sont des essais de cette méthode.

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