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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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