Kooperativer Bibliotheksverbund

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Format: VI, 327 S. , Ill., graph. Darst. , 24 cm

ISBN: 9783110202168

Note: Literaturverz. S. [309] - 323

Additional Edition: Erscheint auch als Online-Ausgabe Infinitesimal Differences Berlin, New York : Walter de Gruyter, 2008 ISBN 9783110211863

Language: English

Subjects: Philosophy

Keywords: Infinitesimalrechnung ; Geschichte 1600-1700 ; Konferenzschrift ; Aufsatzsammlung

URL: Inhaltstext

URL: Inhaltsverzeichnis

Author information: Goldenbaum, Ursula 1952-

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Format: Online-Ressource

Edition: 2013

ISBN: 9783110211863

Content: 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 pr

Additional Edition: ISBN 3110202166

Additional Edition: ISBN 3110211866

Additional Edition: ISBN 9783110202168

Additional Edition: ISBN 9783110211863

Additional Edition: Erscheint auch als Druck-Ausgabe Infinitesimal differences Berlin [u.a.] : de Gruyter, 2008 ISBN 9783110202168

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 3-11-021186-6

Additional Edition: Erscheint auch als Druck-Ausgabe Infinitesimal differences Berlin [u.a.] : de Gruyter, 2008 ISBN 9783110202168

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-11-021186-3

Language: English

Subjects: Philosophy

Keywords: Infinitesimalrechnung ; Geschichte 1600-1700 ; Aufsatzsammlung

DOI: 10.1515/9783110211863

URL: Volltext

URL: Volltext  (lizenzpflichtig)

URL: Cover

URL: Cover

Author information: Goldenbaum, Ursula 1952-

UID:

Format: 1 Online-Ressource (327 S.) : , Ill., graph. Darst.

ISBN: 3-11-020216-6 , 3-11-021186-6 , 978-3-11-020216-8 , 978-3-11-021186-3

Note: "This volume had its beginnings in a conference entitled The Metaphysical and Mathematical Discussion os the Status of Infinitesimals in Leibniz's Time held in April 2006 at Emory University"--Introd. - Includes bibliographical references (p. [309]-323) and index. - 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 pr

Language: English

Subjects: Philosophy

Keywords: Infinitesimalrechnung ; Konferenzschrift

DOI: 10.1515/9783110211863

URL: Volltext

Author information: Goldenbaum, Ursula 1952-

UID:

Format: 1 Online-Ressource (327 S.) : , Ill., graph. Darst.

ISBN: 3-11-020216-6 , 3-11-021186-6 , 978-3-11-020216-8 , 978-3-11-021186-3

Note: "This volume had its beginnings in a conference entitled The Metaphysical and Mathematical Discussion os the Status of Infinitesimals in Leibniz's Time held in April 2006 at Emory University"--Introd. - Includes bibliographical references (p. [309]-323) and index. - 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 pr

Language: English

Subjects: Philosophy

Keywords: Infinitesimalrechnung ; Konferenzschrift

DOI: 10.1515/9783110211863

URL: Volltext

Author information: Goldenbaum, Ursula 1952-

UID:

Format: 1 online resource (633p.)

ISBN: 9783110211863

Content: 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.

Note: Frontmatter -- , Table of Contents -- , Introduction -- , Leery Bedfellows: Newton and Leibniz on the Status -- , of Infinitesimals -- , Infinity, Infinitesimals, and the Reform of -- , Cavalieri: John Wallis and his Critics -- , Indivisibilia Vera – How Leibniz Came to Love -- , Mathematics -- , Indivisibles and Infinitesimals in Early -- , Mathematical Texts of Leibniz -- , Archimedes, Infinitesimals and the Law of -- , Continuity: On Leibniz’s Fictionalism -- , An Enticing (Im)Possibility: Infinitesimals, -- , Differentials, and the Leibnizian Calculus -- , Productive Ambiguity in Leibniz’s Representation of -- , Infinitesimals -- , Generality and Infinitely Small Quantities in -- , Leibniz’s Mathematics - The Case of his Arithmetical Quadrature of Conic -- , Sections and Related Curves -- , Leibniz’s Calculation with Compendia -- , Nieuwentijt, Leibniz, and Jacob Hermann on -- , Infinitesimals -- , Truth in Fiction: Origins and Consequences of -- , Leibniz’s Doctrine of Infinitesimal Magnitudes -- , Rule of Continuity and Infinitesimals in Leibniz’s -- , Physics -- , Leibniz on Infinitesimals and the Reality of -- , Force -- , Dead Force, Infinitesimals, and the -- , Mathematicization of Nature -- , Backmatter , In English.

Additional Edition: ISBN 978-3-11-020216-8

Language: English

DOI: 10.1515/9783110211863

URL: https://doi.org/10.1515/9783110211863

UID:

Format: 1 online resource (336 p.)

ISBN: 1-283-39828-1 , 9786613398284 , 3-11-021186-6

Content: 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.

Note: "This volume had its beginnings in a conference entitled The Metaphysical and Mathematical Discussion os the Status of Infinitesimals in Leibniz's Time held in April 2006 at Emory University"--Introd. , Frontmatter -- , Table of Contents -- , Introduction -- , Leery Bedfellows: Newton and Leibniz on the Status of Infinitesimals -- , Infinity, Infinitesimals, and the Reform of Cavalieri: John Wallis and his Critics -- , Indivisibilia Vera - How Leibniz Came to Love Mathematics -- , Indivisibles and Infinitesimals in Early Mathematical Texts of Leibniz -- , Archimedes, Infinitesimals and the Law of Continuity: On Leibniz's Fictionalism -- , An Enticing (Im)Possibility: Infinitesimals, Differentials, and the Leibnizian Calculus -- , Productive Ambiguity in Leibniz's Representation of Infinitesimals -- , Generality and Infinitely Small Quantities in Leibniz's Mathematics - The Case of his Arithmetical Quadrature of Conic Sections and Related Curves -- , Leibniz's Calculation with Compendia -- , Nieuwentijt, Leibniz, and Jacob Hermann on Infinitesimals -- , Truth in Fiction: Origins and Consequences of Leibniz's Doctrine of Infinitesimal Magnitudes -- , Rule of Continuity and Infinitesimals in Leibniz's Physics -- , Leibniz on Infinitesimals and the Reality of Force -- , Dead Force, Infinitesimals, and the Mathematicization of Nature -- , Backmatter , English

Additional Edition: ISBN 3-11-020216-6

Language: English

Subjects: Philosophy

DOI: 10.1515/9783110211863

UID:

Format: 1 online resource (633 p.)

ISBN: 9783110211863 , 9783110238570

Content: 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.

Note: Frontmatter -- , Table of Contents -- , Introduction -- , Leery Bedfellows: Newton and Leibniz on the Status of Infinitesimals -- , Infinity, Infinitesimals, and the Reform of Cavalieri: John Wallis and his Critics -- , Indivisibilia Vera - How Leibniz Came to Love Mathematics -- , Indivisibles and Infinitesimals in Early Mathematical Texts of Leibniz -- , Archimedes, Infinitesimals and the Law of Continuity: On Leibniz's Fictionalism -- , An Enticing (Im)Possibility: Infinitesimals, Differentials, and the Leibnizian Calculus -- , Productive Ambiguity in Leibniz's Representation of Infinitesimals -- , Generality and Infinitely Small Quantities in Leibniz's Mathematics - The Case of his Arithmetical Quadrature of Conic Sections and Related Curves -- , Leibniz's Calculation with Compendia -- , Nieuwentijt, Leibniz, and Jacob Hermann on Infinitesimals -- , Truth in Fiction: Origins and Consequences of Leibniz's Doctrine of Infinitesimal Magnitudes -- , Rule of Continuity and Infinitesimals in Leibniz's Physics -- , Leibniz on Infinitesimals and the Reality of Force -- , Dead Force, Infinitesimals, and the Mathematicization of Nature -- , Backmatter , Mode of access: Internet via World Wide Web. , In English.

In: DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570

In: DGBA Backlist Philosophy English Language 2000-2014, De Gruyter, 9783110238488

In: DGBA Philosophy 2000 - 2014, De Gruyter, 9783110636949

In: E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2008, De Gruyter, 9783110212129

In: E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008, De Gruyter, 9783110212136

In: E-BOOK PAKET PHILOSOPHIE UND GESCHICHTE 2008, De Gruyter, 9783110209426

Additional Edition: ISBN 9783110202168

Language: English

Subjects: Philosophy

DOI: 10.1515/9783110211863

URL: https://doi.org/10.1515/9783110211863

URL: Cover