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Uncovering the Methodology of the Principia (III): A Brief Chronology of Newton’s Methodological Itinerary

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Abstract

In the preceding chapters I have dealt with Newton’s methodology in a systematic rather than strictly chronological fashion. In this brief chapter, I wish to provide a general chronological overview of Newton’s methodological itinerary – thereby summoning together the material we have discussed previously. For this purpose, I shall divide the development of Newton’s methodology in four phases.

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Notes

  1. 1.

    See Sections 1.41.5 in Chapter 1.

  2. 2.

    Cohen, ed., Isaac Newton’s Papers and Letters on Natural Philosophy, p. 51 [italics added].

  3. 3.

    Shapiro, ed., The Optical Papers of Isaac Newton, I, p. 523 [italics added].

  4. 4.

    See Section 4.4 in Chapter 4.

  5. 5.

    However, as we have seen, in the Principia a different notion of causation was at play: counterfactual-nomological dependency.

  6. 6.

    Newton to Oldenburg, 11 June 1672, Newton, Correspondence, I, p. 174.

  7. 7.

    Newton to Oldenburg, 3 April 1673, ibid., I, p. 264. Cf. Newton’s second optical paper (ibid., I, pp. 373–374).

  8. 8.

    Newton to Oldenburg, 6 February 1671/2, ibid., I, pp. 96–97 [underscore added].

  9. 9.

    Newton to Oldenburg, 6 July 1672, ibid., I, p. 209.

  10. 10.

    Newton to Oldenburg, 11 June 1672, ibid., I, pp. 187–188 [underscore added].

  11. 11.

    Shapiro, ed., The Optical Papers of Isaac Newton, I, pp. 87/89.

  12. 12.

    Newton to Oldenburg for Pardies, 10 June, 1672, Newton, Correspondence, I, p. 164.

  13. 13.

    The distinctive features of Newton’s methodology have been outlined in Section 2.6 in Chapter 2 and in Section 3.6 in Chapter 3.

  14. 14.

    See Section 2.5.1 in Chapter 2.

  15. 15.

    Whiteside, ed., The Mathematical Papers of Isaac Newton, VI, pp. 34 ff.

  16. 16.

    Ibid., VI, pp. 122–127.

  17. 17.

    See Section 2.5.4 in Chapter 2.

  18. 18.

    See, respectively, ibid., Corollaries 2–3 to Proposition III, pp. 126–129 and pp. 180–187.

  19. 19.

    Proposition XLV in: ibid., VI, pp. 369–383.

  20. 20.

    See Section 2.5.2 in Chapter 2.

  21. 21.

    See Section 1.6 in Chapter 1.

  22. 22.

    See Section 4.10 in Chapter 4.

  23. 23.

    See Section 4.5 in Chapter 4.

  24. 24.

    PrE 1, p. 402.

  25. 25.

    Newton, The Principia, p. 794.

  26. 26.

    Ibid., p. 795.

  27. 27.

    Ibid., p. 796.

  28. 28.

    Cotes to Newton, 18 March 1712/13, Newton, Correspondence, V, pp. 391–394, p. 392.

  29. 29.

    Draft of Newton to Cotes, 28 March 1713, Newton, Correspondence, V, pp. 398–399.

  30. 30.

    Newton, The Opticks, p. 404; OE 2, p. 380.

  31. 31.

    CUL Add. Ms. 3965, f. 419v [additions and corrections to the second edition of the Principia].

  32. 32.

    Ibid.

References

  • Newton, I. 1671/2. New theory of about light and colors. Philosophical Transactions of the Royal Society of London 6(19 February; no 80):3075–3087.

    Google Scholar 

  • Newton, I. 1687. Principia mathematica philosophiae naturalis. London: Jussu Societatis Regiæ ac Typis Josephi Streater.

    Google Scholar 

  • Newton, I. 1717. The opticks, or, a treatise of the reflections, refractions, inflections and colours of light, the second edition, with additions. London: William and John Innys.

    Google Scholar 

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Correspondence to Steffen Ducheyne .

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Ducheyne, S. (2012). Uncovering the Methodology of the Principia (III): A Brief Chronology of Newton’s Methodological Itinerary. In: “The main Business of natural Philosophy”. Archimedes, vol 29. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2126-5_5

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