Mathematical and philosophical Newton
 Steffen Ducheyne
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Get AccessRecently, two new volumes on Isaac Newton have fallen from the press: in Isaac Newton on Mathematical Certainty and Method Niccoló Guicciardini provides us with a new study of Newton’s mathematics and in Newton as Philosopher Andrew Janiak addresses Newton’s philosophy/metaphysics.
When it comes to understanding Newton’s mathematical work and its reception, Niccoló Guicciardini has proven to be an excellent guide. In this book, he studies Newton’s mathematical trajectory diachronically. He does so by focusing on a scantly explored and fruitful topic, namely Newton’s views on mathematical certainty and method. Correspondingly, Isaac Newton on Mathematical Certainty and Method is a study of Newton’s mathematical philosophy and methodology (xiii–xv). Guicciardini departs from the prevailing tendency in the literature on seventeenthcentury mathematical methodology to concentrate on definitional issues (e.g., on the definitions of ‘fluxion,’ ‘infinitesimal,’ and ‘limit’). In the preface, he
 Domski, Mary. 2003. The constructible and the intelligible in Newton’s philosophy of geometry. Philosophy of Science 70: 1114–1124. CrossRef
 Ducheyne, Steffen. 2005. Newton’s training in the Aristotelian textbook tradition: From effects to causes and back. History of Science 43: 217–237.
 Ducheyne, Steffen. Forthcoming. Newton on action at a distance and the cause of gravity (Discussion Note). Studies in History and Philosophy of Science, Part A.
 Iliffe, Rob. 2004. Abstract considerations: Disciplines and the coherence of Newton’s natural philosophy. Studies in History and Philosophy of Science 35: 427–454. CrossRef
 Newton, Isaac. 1999. The Principia, Mathematical Principles of Natural Philosophy, a new translation by I. Bernard Cohen and Anne Whitman, assisted by Julia Budenz, preceded by A guide to Newton’s Principia by I. Bernard Cohen. Berkeley: University of California Press.
 Shapiro, Alan E. (ed.). 1984. The optical papers of Isaac Newton, volume I: The optical lectures 1670–1672. Cambridge: Cambridge University Press.
 Turnbull, H.W., Scott, J.F., Rupert Hall, A., and Laura Tilling, eds. 1959–1977. The correspondence of Isaac Newton (7 vols.). Cambridge: Cambridge University Press.
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 Title
 Mathematical and philosophical Newton
 Journal

Metascience
Volume 20, Issue 3 , pp 467476
 Cover Date
 20111101
 DOI
 10.1007/s1101601095202
 Print ISSN
 08150796
 Online ISSN
 14679981
 Publisher
 Springer Netherlands
 Additional Links
 Topics
 Authors

 Steffen Ducheyne ^{(1)}
 Author Affiliations

 1. Centre for Logic and Philosophy of Science, Ghent University, Blandijnberg 2, 9000, Ghent, Belgium