Mathematical models in Newton's Principia: A new view of the ‘Newtonian Style’

References

• Bechler Zev 1982 Introduction: Some Issues of Newtonian Historiography In Contemporary Newtonian Research edited by Z. Bechler Dordrecht Reidel 1 20
   Google Scholar
• Brackenbridge Bruce 1995 The Key to Newton's Dynamics, the Kepler Problem and the Principia Berkeley University of California Press
   Google Scholar
• Cohen I, Bernard 1980 The Newtonian Revolution, with Illustrations of the Transformation of Scientific Ideas Cambridge Cambridge University Press
   Google Scholar
• Cohen I, Bernard 1982 The Principia, Universal Gravitation, and the ‘Newtonian Style’, in Relation to the Newtonian Revolution in Science In Contemporary Newtonian Research edited by Z. Bechler Dordrecht Reidel 21 108
   Google Scholar
• Crombie AC 1994 Styles of Scientific Thinking in the European Tradition: The History of Argument and Explanation Especially in the Mathematical and Biomedical Sciences and Arts 3 vols London Duckworth
   Google Scholar
• De Gandt François 1995 Force and Geometry in Newton's Principia Translated by Curtis Wilson Princeton N.J. Princeton University Press
   Google Scholar
• Edleston Joseph ed 1969 Correspondence of Sir Isaac Newton and Professor Cotes London Frank Cass
   Google Scholar
• Gjertsen Derek 1986 The Newton Handbook London Routledge and Kegan Paul
   Google Scholar
• Guicciardini Niccolò 1999 Reading the Principia: The Debate on Newton's Mathematical Methods for Natural Philosophy from 1687 to 1736 Cambridge Cambridge University Press
   Google Scholar
• Harper William 1990 Newton's Classic Deductions from Phenomena In PSA 1990: Proceedings of the Biennial Meeting of the Philosophy of Science Association vol 2 183 96
   Google Scholar
• Harper William 1998 Measurement and Approximation: Newton's Inferences from Phenomena versus Glymour's Bootstrap Confirmation In The Role of Pragmatics in Contemporary Philosophy edited by P. Weingartner, G. Schurz, and G. Dorn Vienna Holder‐Pichler‐Tempsky
   Google Scholar
• Harper William 2002 Newton's Argument for Universal Gravitation In The Cambridge Companion to Newton edited by I. B. Cohen and G. E. Smith Cambridge Cambridge University Press
   Google Scholar
• McMullin , Ernan . 2001 . Response . Philosophy of Science , 68 : 339 – 45 .
   Google Scholar
• Morgan Mary, S Morrison Margaret eds 1999 Models as Mediators: Perspectives on Natural and Social Science Cambridge Cambridge University Press
   Google Scholar
• Nauenberg , Michael . 2003 . Kepler's Area Law in the Principia: Filling in Some Details in Newton's Proof of Proposition 1 . Historia Mathematica , 30 : 441 – 56 .
   Google Scholar
• Newton Isaac [1730] 1979 Opticks, or A Treatise of Reflections, Refractions, Inflections and Colours of Light 4th ed New York Dover
   Google Scholar
• Newton Isaac [1726] 1999 The Principia: Mathematical Principles of Natural Philosophy, 3rd ed. Translated by I. Bernard Cohen and A. Whitman Berkeley University of California Press
   Google Scholar
• Nickles , Thomas . 1984 . Positive Science and Discoverability . PSA 1984: Proceedings of the Biennial Meeting of the Philosophy of Science Association , 1 : 13 – 27 .
   Google Scholar
• Nickles Thomas 1988 Reconstructing Science: Discovery and Experiment In Theory and Experiment, Recent Insights and New Perspectives on Their Relation edited by D. Batens and J. P. Van Bendegem Dordrecht Reidel 33 54
   Google Scholar
• Pourciau , Bruce . 2003 . Newton's Argument for Proposition 1 of the Principia . Archive for History of Exact Sciences , 57 : 267 – 311 .
   Google Scholar
• Raftopoulos , Athanasios . 1999 . Newton's Experimental Proofs as Eliminative Reasoning . Erkenntnis , 50 : 91 – 121 .
   Google Scholar
• Suárez Mauricio 1999 The Role of Models in the Application of Scientific Theories: Epistemological Implications In Models as Mediators: Perspectives on Natural and Social Science edited by M. S. Morgan and M. Morrison Cambridge Cambridge University Press 168 95
   Google Scholar
• Smith , George, E . 2001 . Comments on Ernan McMullin's ‘The Impact of the Principia on the Philosophy of Science’ . Philosophy of Science , 68 : 327 – 38 .
   Google Scholar
• Smith George, E 2002a The Methodology of the Principia In The Cambridge Companion to Newton edited by I. B. Cohen and G. E. Smith Cambridge Cambridge University Press
   Google Scholar
• Smith George, E 2002b From the Phenomena of the Ellipse to an Inverse‐Square Force: Why Not? In Reading Natural Philosophy, Essays in the History and Philosophy of Science and Mathematics edited by D. B. Malament Chicago Open Court
   Google Scholar
• Thurnbull HW ed 1975–1978 The Correspondence of Isaac Newton 7 vols Cambridge Cambridge University Press
   Google Scholar
• Worrall , John . 2000 . The Scope, Limits and Distinctiveness of the Method of ‘Deduction from the Phenomena’ . British Journal for the Philosophy of Science , 51 : 45 – 80 .
   Google Scholar
• Whiteside DT ed 1974 Vol. 6 of The Mathematical Papers of Isaac Newton Cambridge Cambridge University Press
   Google Scholar
• Wilson Curtis 1989 Astronomy from Kepler to Newton London Variorum Reprints
   Google Scholar