TY  - BOOK
AU  - Goldenbaum,Ursula
AU  - Jesseph,Douglas
TI  - Infinitesimal Differences: Controversies between Leibniz and His Contemporaries
SN  - 9783110211863
AV  - B2598.I54 2008 
U1  - 193 
PY  - 2008///
CY  - Berlin/Boston
PB  - De Gruyter, Inc.
KW  - Leibniz, Gottfried Wilhelm, -- Freiherr von, -- 1646-1716 -- Criticism and interpretation -- Congresses
KW  - Mathematics -- Philosophy -- Congresses
KW  - Physics -- Philosophy -- Congresses
KW  - Electronic books
N1  - 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
N2  - The development of the calculus during the 17th century was successful in mathematical practice, but raised questions about the nature of infinitesimals: were they real or rather fictitious? This collection of essays, by scholars from Canada, the US, Germany, Japan and Switzerland, gives a comprehensive study of the controversies over the nature and status of the infinitesimal. Aside from Leibniz, the scholars considered are Hobbes, Wallis, Newton, Bernoulli, Hermann, and Nieuwentijt. The collection also contains newly discovered marginalia of Leibniz to the writings of Hobbes
UR  - https://ebookcentral.proquest.com/lib/buse-ebooks/detail.action?docID=370733
ER  -