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Uncovering the Methodology of the Principia (II): The Phase of Model Application, Theory Formation and Theory Application

  • Steffen DucheyneEmail author
Chapter
Part of the Archimedes book series (ARIM, volume 29)

Abstract

At the start of Book III of the Principia, Newton noted that in Books I and II he had “presented [tradidi] principles of philosophy that are not, however, philosophical but strictly mathematical – that is, those on which the study of philosophy can be based [ex quibus videlicet in rebus philosophicis disputari possit]” and that “[i]t still remains for us to exhibit the system of the world from these same principles [ut ex iisdem principiis doceamus constitutionem systematis mundani].” In Book III, Newton’s physico-mathematical treatment of force turned into a physical account of the forces in the empirical world. Correspondingly, Newton implicitly offered a physical reinterpretation of quantity of matter in Book III, which explains why, in manuscript material prepared for the third edition, Newton set out to define “body” (“corpus”) as any moveable and tangible thing that offers resistance to touch and of which the resistance can be sensed if it is big enough (“Corpus voco rem omnem ↓mobilem &↓ tangibilem qua tangentibus resistitur, & cujus resistentia, si satis magna sit, sentire potest.”).

Keywords

Centripetal Force Inductive Generalization Universal Gravitation Apsidal Motion Proposition Versus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Newton, I. 1713. Principia mathematica philosophiae naturalis, Editio secunda auctior et emendatior. Cambridge: Cornelius Crownfield.Google Scholar
  2. Newton, I. 1726. Principia mathematica philosophiae naturalis, Editio tertia aucta & emendate. London: apud Guil. & Joh. Innys, Regiæ societatis typographos.Google Scholar
  3. Desaguliers, J.T. 1734–1744. A course of experimental philosophy. London: Printed for John Senex, W. Innys and Richard Manby, and John Osborne and Thomas Longman.Google Scholar
  4. Leibniz, G.W. 1710. Essais de Theodicée. Amsterdam: apud Isacum Trojel.Google Scholar
  5. Montmort, P.R. De 1713. Essai d’analyse sur les jeux de hazard (second edition). Paris: Laurent Le Conte.Google Scholar
  6. Newton, I. 1687. Principia mathematica philosophiae naturalis. London: Jussu Societatis Regiæ ac Typis Josephi Streater.Google Scholar
  7. Stillingfleet, E. 1671. A discourse concerning the idolatry practised in the Church of Rome, and the danger of salvation in the communion of it. London: Printed by Robert White for Henry Mortlock.Google Scholar
  8. Wallis, J., and C. Wren. 1668. A summary account of the general laws of motion by Dr. John Wallis, and Dr. Christopher Wren. Philosophical Transactions of the Royal Society of London 3:864–868.Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Vrije Universiteit Brussel, Centre for Logic and Philosophy of ScienceBrusselsBelgium

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