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Routledge History of Philosophy Volume IV

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124 SCIENCE AND MATHEMATICS UP TO DESCARTES<br />

20 Copernicus [3.33], sig. i.v.<br />

21 This is the date <strong>of</strong> his matriculation; he did not actually move to Tubingen until<br />

1589. See the article on him by Owen Gingerich in the Dictionary <strong>of</strong> Scientific<br />

Biography.<br />

22 Kepler [3.46], vol. 8, p. 9; Kepler [3.47], 38–9.<br />

23 Kepler [3.46], vol. 3, p. 178.<br />

24 Kepler [3.46], vol. 3, p. 366.<br />

25 Astronomia Nova , seu Physica Coelestis, tradita<br />

commentaniis De Motibus Stellae Martis, Ex Observationibus G.V.Tychonis Brahe.<br />

26 The Correspondence <strong>of</strong> Isaac Newton, ed. H.W.Turnbull et al. (Cambridge,<br />

Cambridge University Press, 1959–77), vol. 2, p. 436.<br />

27 Galileo [3.43], 50–1.<br />

28 Galileo [3.43], 57.<br />

29 Galileo [3.43], 93–4.<br />

30 Galileo [3.43], 186.<br />

31 Finocchiaro [3.65], 67–8.<br />

32 Finocchiaro [3.65], 146.<br />

33 Galileo [3.44], 416–17.<br />

34 Galileo [3.44], 464.<br />

35 Descartes [3.36], vol. 6, p. 60.<br />

36 Isaac Newton, Philosophiae Naturalis Principia Mathematica…. Perpetuis<br />

Commentariis illustrata, communi studio pp. Thomae Le Seur & Francisci<br />

Jacquier Ex Gallicana Minimorum Familia, Matheseos Pr<strong>of</strong>essorum (Geneva,<br />

Barrillot, 1739–42), vol. 3.<br />

37 Galileo [3.40], vol. 8, p. 202. In producing my own translations from the Discorsi,<br />

I have made use <strong>of</strong> those by Stillman Drake in Galileo [3.45], whose volume<br />

includes the page numbers from the Edizione Nazionale.<br />

38 Galileo [3.40], vol. 8, p. 197.<br />

39 Galileo [3.40], vol. 8, p. 198.<br />

40 Galileo [3.40], vol. 8, p. 208.<br />

41 Galileo [3.40], vol. 8, p. 212.<br />

42 cf. A.R.Hall, Ballistics in the Seventeenth Century: A Study in the Relations <strong>of</strong><br />

Science and War with reference particularly to England (Cambridge, Cambridge<br />

University Press, 1952), and M.Segre, ‘Torricelli’s Correspondence on Ballistics’,<br />

Annals <strong>of</strong> Science 40 (1983) 489–99.<br />

43 Descartes [3.36], vol. 2, p. 380.<br />

44 Principia Philosophiae II. 11, in Descartes [3.36], vol. 8–1, p. 46.<br />

45 Principia Philosophiae III. 52, in Descartes [3.36], vol. 8–1, p. 105.<br />

46 The numbering is from the Principia Philosophiae (II. 37–40); it was different in<br />

Le Monde, where the laws are deduced rather more vividly from God’s creation <strong>of</strong><br />

an imaginary world.<br />

47 Sir Isaac Newton’s Mathematical Principles <strong>of</strong> Natural <strong>Philosophy</strong> and his System<br />

<strong>of</strong> the World, trans. Andrew Motte, revised by Florian Cajori (Berkeley, Calif.,<br />

University <strong>of</strong> California Press, 1934), p. 400.<br />

48 Descartes [3.36], vol. 6, pp. 64–5.

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