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INFO
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Title................: Infinitesimal Differences
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 2.93 MB
Torrent Hash.........: 1132FE088A0C02012A0EA61CBF113511189C4BC8
Posted by............: ~tqw~

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CONTENTS
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Infinitesimal Differences~tqw~_darksiderg preview 0
Synopsis:
This volume had its beginnings in a conference entitled The Metaphysical
and Mathematical Discussion of the Status of Infinitesimals in Leibniz’s Time
held in April 2006 at Emory University in celebration of the 50th anniversary
of the university’s graduate program in philosophy. Leroy E.
Loemker, who initiated the graduate program as the first chair of the new
Department of Philosophy at Emory, is well known as the father of North
American Leibniz scholarship. Thus, the conference was dedicated as well
to Loemker and his outstanding work on Leibniz, most notably his volume
of Leibniz’s Philosophical Papers and Letters, which remains one of the central
works of Leibnizian scholarship in English.

Table Of Contents:
Introduction 1
Leery Bedfellows: Newton and Leibniz on the Status of Infinitesimals 7
Infinity, Infinitesimals, and the Reform of Cavalieri: John Wallis and his
Critics 31
Indivisibilia Vera – How Leibniz Came to Love Mathematics Appendix: Leibniz’s
Marginalia in Hobbes’ Opera philosophica and De corpore 53
Indivisibles and Infinitesimals in Early Mathematical Texts of Leibniz 95
Archimedes, Infinitesimals and the Law of Continuity: On Leibniz’s
Fictionalism 107
An Enticing (Im)Possibility: Infinitesimals, Differentials, and the Leibnizian
Calculus 135
Productive Ambiguity in Leibniz’s Representation of Infinitesimals 153
Generality and Infinitely Small Quantities in Leibniz’s Mathematics – The Case
of his Arithmetical Quadrature of Conic Sections and Related Curves 171
Herbert Breger Leibniz’s Calculation with Compendia 185
Fritz Nagel Nieuwentijt, Leibniz, and Jacob Hermann on Infinitesimals 199
Truth in Fiction: Origins and Consequences of Leibniz’s Doctrine of
Infinitesimal Magnitudes 215
Rule of Continuity and Infinitesimals in Leibniz’s Physics 235
Leibniz on Infinitesimals and the Reality of Force 255
Dead Force, Infinitesimals, and the Mathematicization of Nature 281
Abbreviations 307
Bibliographical References 309
Index of Persons 325
Affiliations of the Authors 329

Product Details:
* ISBN: 3110202166
* ISBN-13: 9783110202168
* Format: Hardcover, 327pp
* Publisher: Walter de Gruyter, Inc.
* Pub. Date: August 2008

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Greetz Fellow UL'ers
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