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Mechanics in the Querelle des Anciens et des Modernes

Bibliographic Data

ID3278672
AuthorsChristoph Lehner (0000-0001-8466-0273), Helge Wendt (0000-0002-4569-0792, Max Planck Institute for the History of Science)
Year2017
Volume108
Issue1
Pages26-39
Publication date2017-03-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueIsis (JOURNAL)
Journal identifiersISSN: 0021-1753 • E-ISSN: 1545-6994
PublisherUniversity of Chicago Press (PUBLISHER • US)
DOI10.1086/691412
PMID29897695
OpenAlexW2565127628
LanguageEN
References cited16

The debate about the superiority of ancient versus modern culture, known as the Querelle des anciens et des modernes, also found expression in conflicting positions about the developing mathematical methods of natural philosophy. Isaac Newton explicitly referred to the authority of Euclidean geometry as a justification for the conservative form of the proofs in his Principia Mathematica, where he avoided the use of analytic geometry and infinitesimal calculus, the central innovations of seventeenth-century mathematics, as much as possible. Rather, he modeled his proofs, just like the overall structure of the treatise, as closely as possible on Euclid’s geometry. A century later, however, Joseph-Louis Lagrange announced in the introduction to his Mechanique Analytique that no geometrical diagrams would be found there and that Newtonian mechanics was presented exclusively in the form of analytic equations. This essay analyzes the relationship of this radical change in the theoretical methodology of mechanics to the actors’ ideas about ancient science and its authority. It also discusses the consequent development of a conception of ancient science as distinct from modern science and the relation of this conception to a history of science in our contemporary sense

Calculus (dental · Epistemology · Euclidean geometry · Geometry · History of mathematics · History of science · Infinitesimal · Mathematical proof · Natural Philosophy · Philosophy of science · Relation (database · Computer Science · Historical and Literary Studies · Historical Philosophy and Science · History and Theory of Mathematics · Mathematics · Philosophy

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    Open Access•Fritz Wagner•Berichte zur Wissenschaftsgeschicht…•1978

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    Open Access•A Guerrini•Journal of British Studies•1986

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    Barbara Warnick•Communication Monographs•1982

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    Niccolò Guicciardini•Annals of Science•2014

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  • The Shock of the Ancient

    Larry F Norman•Shock of the Ancient•2011

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    Open Access•Paolo Casini•History of Science•1984

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Citation velocityhistorical
Highly citedNo

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