Method versus calculus in Newton's criticisms of Descartes and Leibniz

International Congress of Mathematicians, ICM 2006

Volumn 3, Issue , 2006, Pages 1719-1742

  Guicciardini, Niccolò ^a  

^a UNIVERSITY OF SIENA   (Italy)

Author keywords

17th century; Descartes; Leibniz; Newton; Philosophy of mathematics

Indexed keywords

17TH CENTURY; DESCARTES; LEIBNIZ; NEWTON; PHILOSOPHY OF MATHEMATICS;

CALCULATIONS;

EID: 84878079178     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (19)

1. AddMS 3968.41 f. 85. Cited inWestfall, R. S., Never at Rest: a Biography of Isaac Newton. Cambridge University Press, Cambridge 1980, 143. This is the best biography of Newton.
2. On Newton's philosophical programme one can read: Cohen, I. B., The Newtonian Revolution. Cambridge University Press, Cambridge 1980.
3. Smith, G. E., The methodology of the Principia. In The Cambridge Companion to Newton (ed. by I. Bernard Cohen and George E. Smith). Cambridge University Press, Cambridge 2002, 137-173.
4. Stein, H., Newton's metaphysics. In The Cambridge Companion to Newton (ed. by I. Bernard Cohen and George E. Smith). Cambridge University Press, Cambridge 2002, 256-307.
5. Panza M., Newton et les Origines de l' Analyse: 1664-1666. Blanchard, Paris 2005.
6. Pappus of Alexandria, Book 7 of the Collection (ed. by Alexander Jones). Sources in the History of Mathematics and the Physical Sciences 8, Springer, New York, Berlin, Heidelberg, Tokyo 1986, 82-4.
7. Descartes, R., The Geometry of René Descartes with a Facsimile of the First Edition (ed. by D. E. Smith and M. L. Latham). Dover, New York 1954.
8. Bos, H. J. M., Redefining Geometrical Exactness: Descartes'Transformation of the Early Modern Concept of Construction. Springer-Verlag, New York, Berlin, Heidelberg, Tokyo 2001.
9. Galuzzi, M., I marginalia di Newton alla seconda edizione latina della Geometria di Descartes e i problemi ad essi collegati. In Descartes: il Metodo e i Saggi (ed. by G. Belgioioso, G. Cimino, P. Costabel, G. Papuli), Istituto dell'Enciclopedia Italiana, Roma 1990, 387-417.
10. Newton, I., The MathematicalWorks of Isaac Newton (ed. by Derek T. Whiteside). 2 vols., Johnson Reprint Corp., New York, London 1964-1967.
11. Newton, I., TheMathematical Papers of Isaac Newton (ed. by Derek T. Whiteside). 8 vols., Cambridge University Press, Cambridge, London, New York 1967-1981. In quoting from this work we followWhiteside's translation from the Latin.
12. Newton, I., The Correspondence of Isaac Newton (ed. by H. W. Turnbull et al.). 7 vols., Cambridge University Press, Cambridge, 1959-1977, Vol. 2, 39.
13. Newton, I., Philosophiae Naturalis Principia Mathematica. The Third Edition (1726) with Variant Readings (ed. byAlexandreKoyré and I. Bernard Cohen, with the assistance ofAnne Whitman). Cambridge University Press, Cambridge 1972.
14. We follow the translation from the Latin provided in Isaac Newton, 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, University of California Press, Berkeley, Los Angeles, London 1999.
15. Translated and cited in Shapiro, A., Fits, Passions, and Paroxysms: Physics, Method, and Chemistry and Newton'sTheories of Colored Bodies andFits of Easy Reflection.Cambridge University Press, Cambridge 1993, 25.
16. Leibniz, G.W., Leibnizens mathematische Schriften (ed. by C. I. Gerhardt). 7 vols., Olms, Hildesheim 1971, Vol. 1 (2), 104. My translation.
17. Niedersächsische Landesbibliothek (Hannover) Lh 35 VIII 21, f. 1r. Quoted in E. Pasini Il Reale e l'Immaginario: la Fondazione del Calcolo Infinitesimale nel Pensiero di Leibniz. Sonda, Torino 1993, 149n. My translation.
18. Hall, A. R. Philosophers at War: the Quarrel between Newton and Leibniz. Cambridge University Press, Cambridge 1980.
19. Guicciardini, N. Reading the Principia: the Debate on Newton's Mathematical Mathods for Natural Philosophy from 1687 to 1736. Cambridge University Press, Cambridge 1999.