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Synopsis
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.
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About the Author
Ursula Goldenbaum, Emory University, Atlanta, GA, USA and Institute for Advanced Study at Princeton; Douglas Jesseph, North Carolina State University, Raleigh, USA.
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Infinitesimal Differences
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Walter de Gruyter Verlag, 2008
ISBN 10: 3110202166
ISBN 13: 9783110202168
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Condition: Wie Neu. Zustandsbeschreibung: leichte Lagerspuren/minor shelfwear. Controversies between Leibniz and his Contemporaries. Edited by Ursula Goldenbaum and Douglas Jesseph. The development of the calculus during the 17th century was successful in mathematical practice, but raised the question whether infinitesimals were real or fictitious. This collection of essays gives a comprehensive study of the controversies over the nature and status of the infinitesimal. VI,627 Seiten, gebunden (Walter de Gruyter Verlag 2008). Früher EUR 179,95. Gewicht: 600 g - Gebunden/Gebundene Ausgabe. Seller Inventory # 56399
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Infinitesimal Differences - Controversies between Leibniz and his Contemporaries (eng)
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Infinitesimal Differences : Controversies between Leibniz and his Contemporaries
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The essays offer a unified and comprehensive view of 17th century mathematical and metaphysical disputes over status 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. Seller Inventory # 9783110202168
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Infinitesimal Differences
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De Gruyter, De Gruyter Aug 2008, 2008
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware - The essays offer a unified and comprehensive view of 17th century mathematical and metaphysical disputes over status 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. 336 pp. Englisch. Seller Inventory # 9783110202168
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