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Infinitesimal Differences : Controversies Between Leibniz and His Contemporaries by Goldenbaum, Ursula, Ursula Goldenbaum, Douglas Jesseph is a nonfiction available to read on EtoBox.

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The essays offer a unified and comprehensive view of 17th century mathematical and metaphysical disputes overstatus of infinitesimals, particularly the question whether they were real or mere fictions. Leibniz's development of the calculus and his understanding of its metaphysical foundation are taken as both a point of departure and a frame of reference for the 17th century discussions of infinitesimals, that involved Hobbes, Wallis, Newton, Bernoulli, Hermann, and Nieuwentijt. Although the calculus was undoubtedly successful in mathematical practice, it remained controversial because its procedures seemed to lack an adequate metaphysical or methodological justification. The topic is also of philosophical interest, because Leibniz freely employed the language of infinitesimal quantities in the foundations of his dynamics and theory of forces. Thus, philosophical disputes over the Leibnizian science of bodies naturally involve questions about the nature of infinitesimals. The volume also includes newly discovered Leibnizian marginalia in the mathematical writings of Hobbes. Read more... Abstract: The development of the calculus during the 17th century was successful in mathematica

Who reads Infinitesimal Differences : Controversies Between Leibniz and His Contemporaries?

Author

Goldenbaum, Ursula, Ursula Goldenbaum, Douglas Jesseph

Publisher

Saur, K. G., Verlag. ein Imprint der Walter de Gruyter GmbH

Published

2008

Language

EN

ISBN

9781283398282

Category

nonfiction

Subjects

Mathematics, Science, Philosophy