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The Uses of Antiquity pp 123–144Cite as

The Ancient Legal Sources of Seventeenth-Century Probability

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Part of the book series: Australasian Studies in History and Philosophy of Science ((AUST,volume 10))

Abstract

The Scientific Revolution of the seventeenth century might almost equally well be called the Mathematical Revolution. Experimentation was important, but even there one of the advances was the systemic extension of measurement, to such quantities as time, speed, pressure and probability. The initial reduction of data to numerical form enabled the discovery of patterns in them like the laws of motion, and the creation of mathematical theories of continuity (the calculus) and of probability.

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Notes

  1. Toti Rigatelli, L., ‹II ‹problema delle parti› in manoscritti del XIV e XV secolo›, in M. Folkerts and U. Lindgren (eds), Mathemata: Festschrift für Helmuth Gericke, Stuttgart (1985), pp. 229–236

    Google Scholar 

  2. David, F. N., Games, Gods and Gambling, London (1962), chs. 4, 6

    Google Scholar 

  3. Coumet, E., ‘Le problème des partis avant Pascal’, Archives internationales d’histoire des sciences 17, 244–272 (1965).

    Google Scholar 

  4. Daston, L., Classical Probability in the Enlightenment, Princeton (1988), ch. 1.

    Google Scholar 

  5. Corpus Iuris Civilis, Digest 35.2.68.

    Google Scholar 

  6. Greenwood, M., ‘A statistical mare’s nest?’ Journal of the Royal Statistical Society 103, pp. 246–8 (1940).

    Article  Google Scholar 

  7. Corpus Iuris Civilis, Dig. 18.1.8; cf. 18.4.7; see Guitton, H., ‘Le droit romain en face de l’aléa’, Revue Française de Recherche Operationelle 7, pp. 194–5 (1963).

    Google Scholar 

  8. Livy, History, 23.49; 25.3; Suetonius, Claudius, 18; Theodosian Code, 13.9.1–2.

    Google Scholar 

  9. Dig. 18.1.35.7; 18.6.1; 19.2.13.5; Code 4.48.2.

    Google Scholar 

  10. Corpus Iuris Civilis, Institutes 3.23.3.

    Google Scholar 

  11. Corpus Iuris Civilis, Code 4.33.2; Dig. 22.2.4.

    Google Scholar 

  12. Corpus Iuris Civilis, Dig. 22.2.5; cf. Huvelin, P., Etudes d’histoire du droit commercial romain, Paris (1929), pp. 98–110.

    Google Scholar 

  13. Jack, A. F., An Introduction to the History of Life Assurance, London (1912), p. 172.

    Google Scholar 

  14. Baum, H.-P., ‘Annuities in later medieval Hanse towns’, Business History Review 59, 24–48, at 28–9 (1985).

    Article  Google Scholar 

  15. P. 30.

    Google Scholar 

  16. Jack, A. F., An Introduction to the History of Life Assurance, London (1912), p. 175.

    Google Scholar 

  17. Jack, A. F. The Cambridge Economic History of Europe (ed.) M. M. Postan, Vol. 3, Cambridge (1963), pp. 531–2.

    Google Scholar 

  18. Baldus, Consilia, Vol. 2, cons. 154, Venice (1575), Vol. 2, p. 81.

    Google Scholar 

  19. Vol. 3, cons. 210 (Vol. 3, p. 121).

    Google Scholar 

  20. Vol. 5, cons. 292 (Vol 5, p. 145).

    Google Scholar 

  21. Du Moulin, C, Tractatus commerciorum …, Paris (1546) (Goldsmiths’-Kress Library of Economic Literature, item 38.1), pp. 209–11.

    Google Scholar 

  22. Santerna, P., De assecurationibus et sponsionibus mercatorum, Venice (1552), Cologne (1599); see Maffei, D., Il giureconsulto portoghese Pedro de Santarem autore del primo trattato sulle assicurazioni (1488) (Separata do numéro especial do Boletim da Faculdade de Direito de Coimbra, Braga (1983), pp. 703–728).

    Google Scholar 

  23. Soto, D., De lustitia et lure bk. VI q. 7, Lyons (1569), p. 207 (Goldsmiths’-Kress, item 145.5); cf. B. Straccha, De Assecurationibus, Venice (1569) Praefatio and sections 13, 46, 79–80 (Goldsmiths’-Kress, item 145.4); de Roover, R., ‘The scholastics, usury and foreign exchange’, Business History Review 41, 257–271, at 269 (1967).

    Google Scholar 

  24. Oeuvres Complètes de Huygens, The Hague (1893 etc), Vol. 7, pp. 95–8; see also Houtzager, D., Hollands lijf- en losrenteleningen voor 1672, Schiedam (1950).

    Google Scholar 

  25. Lessius, De lustitia et lure, bk IV, Louvain (1605), p. 310, quoted in Coumet, E., ‘La théorie du hasard est-elle née par hasard?’, Annales 25, pp. 574–598, at 592 (1970).

    Google Scholar 

  26. Bauny, P., Somme des péchez qui se commettent en tous estats, de leurs conditions et qualitez, Paris (1653), p. 227, quoted in Coumet, p. 592 n. 1; cf. p. 591.

    Google Scholar 

  27. J. de Lugo, De lustitia et Iure disp. XXXI sect, vii, Lyons (1652), Vol. II, p. 447).

    Google Scholar 

  28. Fermat-Pascal correspondence, in Tannery, P., and Henry, C, (eds.), Oeuvres de Fermat, Vol. 2, Paris (1894), pp. 288–314, trans, in D. E. Smith, (ed.), A Source Book in Mathematics, New York (1959), Vol. 2, pp. 546–565, at pp. 546–7.

    Google Scholar 

  29. Oeuvres Complètes de Huygens, vol. 14, pp. 52–95; partial English trans, in Fredudenthal, H., ‘Huygens’ foundations of probability’, Historia Mathematica 7, pp. 113–7(1980).

    Google Scholar 

  30. Oeuvres, 60–1; cf. Hacking, I., The Emergence of Probability, Cambridge (1975), ch. 11.

    Google Scholar 

  31. Easton, J. B., ‹Jan de Witt›, Dictionary of Scientific Biography, New York (1976), Vol. XIV, pp. 465–7.

    Google Scholar 

  32. Leibniz, New Essays bk. 4 ch. 2 in P. P. Weiner (ed.), Leibniz, Selections, New York (1951), pp. 82–3; see Schneider, I., ‘Leibniz on the probable’, in J. W. Dauben (ed.), Mathematical Perspectives, New York (1981), pp. 201–219.

    Google Scholar 

  33. Corpus Iuris Civilis, Digest 30.96.

    Google Scholar 

  34. Corpus Iuris Civilis, Dig 35.1.36.1; cf. 32.64 and 50.5.56.

    Google Scholar 

  35. Corpus Iuris Civilis, Dig. 50.10.1.1.

    Google Scholar 

  36. Corpus Iuris Civilis, Dig 12.4.6.

    Google Scholar 

  37. Corpus Iuris Civilis, Dig. 23.4.26.

    Google Scholar 

  38. Corpus Iuris Civilis, Dig 37.10 and 43.4.3.

    Google Scholar 

  39. Corpus Iuris Civilis, Dig 42.23.

    Google Scholar 

  40. Corpus Iuris Civilis, Dig. 41.3.44.4.

    Google Scholar 

  41. Deuteronomy 17:6; 19:5; Numbers 35:30; Matthew 18:16; Corpus Iuris Civilis, Code 4.20.8.

    Google Scholar 

  42. Azo, Lectura super Codicem bk 4 tit 1, Paris (1577), repr. Turin (1966), p. 254; cf. Ioannes Fasolus De Summariis Cognitionibus ed. L. Wahrmund, Aalen (1962), p. 21; Ioannes Andreae, Novella Commentaria in secundum Decretalium tit. xix rubric, Venice (1581), repr. Turin (1963), p. 109A.

    Google Scholar 

  43. Decretals of Gregory IX, bk. V tit. xxxix cap. 44 (in A. Friedberg, (ed.), Corpus Iuris Canonici, Leipzig (1879), Vol. II, col. 908).

    Google Scholar 

  44. Corpus Iuris Civilis, Digest 48.18.1.

    Google Scholar 

  45. Johannes de Lignano, Super Clementina ‘Saepe’ (ed.) L. Wahrmund, Aalen (1962), p. 9.

    Google Scholar 

  46. Thomas Aquinas, In IVSententiarum, dist. 9 q. 1 art. v solutio II.

    Google Scholar 

  47. Thomas Aquinas, Summa Theologiae, II–II q. 69 art. 2.

    Google Scholar 

  48. Lottin, O., ‘Le tutiorisme du treizième siècle’, Recherches de Théologie Ancienne et Médiévale 5, pp. 292–301 (1933).

    Google Scholar 

  49. T. Deman, ‘Probabilisme’, Dictionnaire de Théologie Catholique Vol. 13, part 1, Paris (1936), cols 417–619

    Google Scholar 

  50. J. de Blic, ‘Barthélémy de Medina at les origines du probabilisme’, Ephemerides Theologicae Lovanienses 1, pp. 46–83 (1930).

    Google Scholar 

  51. J. de Blic, ‘Barthélémy de Medina at les origines du probabilisme’, Ephemerides Theologicae Lovanienses 1, pp. 264–291 (1930).

    Google Scholar 

  52. Constitutio Criminalis Carolina, sections 18, 22, 24–30, trans, in J. H. Langbein, Prosecuting Crime in the Renaissance, Cambridge, Mass (1974), pp. 261–308, at pp. 272–5.

    Google Scholar 

  53. Menochio, G., De praesumptionibus, conjecturis, signis et indicijs commentaria, Venice (1587–90).

    Google Scholar 

  54. Alciati, A., Tractatus de praesumptionibus, Lyons (1561)

    Google Scholar 

  55. Alciati, A., Tractatus de praesumptionibus,Cologne (1580).

    Google Scholar 

  56. Mascardi, G., Conclusiones probationum, or De probationibus, Venice (1584–88)

    Google Scholar 

  57. Mascardi, G., Conclusiones probationum, or De probationibus,Venice (1593)

    Google Scholar 

  58. Mascardi, G., Conclusiones probationum, or De probationibus,Frankfurt (1593) etc.

    Google Scholar 

  59. Coke, E., The First Part of the Institutes, 6b; cf. English Reports, Vol. 77, 534; Vol. 145, 73; Shapiro, B., Probability and Certainty in Seventeenth Century England, Princeton (1983), pp. 177–8.

    Google Scholar 

  60. Meulenbroek, B. L., Briefwisseling van Hugo Grotius Vol. 5, The Hague (1966), p. 194.

    Google Scholar 

  61. Haggenmacher, P., Grotius et la Guerre Juste, Paris (1983) p. 495.

    Google Scholar 

  62. Grotius, Law of War and Peace bk. 2, ch. xxvi (Rights of War and Peace, London (1682), p. 430); see Johnson, J. T., Ideology, Reason and the Limitation of War, Princeton (1975), p. 220.

    Google Scholar 

  63. Haggenmacher, P., Grotius et la Guerre Juste, Paris (1983) p. 196.

    Google Scholar 

  64. Grotius, De lure Praedae Commentarius, (trans. G. L. Williams, Oxford (1950), pp. xiii–xv); see Haggenmacher, P., Grotius et la Guerre Juste, Paris (1983) pp. 200–203.

    Google Scholar 

  65. De lure Praedae, trans. Williams, pp. 80–82.

    Google Scholar 

  66. Chillingworth, W., The Religion of Protestants a Safe Way to Salvation, ch. iv, par. 57 (in The Works of William Chillingworth, Philadelphia (1940), p. 296); but see also Bellhouse, D. R., ‘Probability in the sixteenth and seventeenth centuries: an analysis of Puritan casuistry’, International Statistical Review 56, pp. 63–74 (1988).

    Google Scholar 

  67. Chillingworth, W., The Religion of Protestants a Safe Way to Salvation, ch. iv, par. 57 (in The Works of William Chillingworth, Philadelphia (1940), pp. 430–1.

    Google Scholar 

  68. Hacking, I., The Emergence of Probability, Cambridge (1975), ch. 8.

    Google Scholar 

  69. E.g., Azo, Lectura super Codicem (Paris, 1577, repr. Turin, 1966), p. 283.

    Google Scholar 

  70. Hacking, I., The Emergence of Probability, Cambridge (1975), pp. 77–8.

    Google Scholar 

  71. Schneider, I., ‹Leibniz on the probable›, in J. W. Dauben (ed.), Mathematical Perspectives, New York (1981), pp. 202.

    Google Scholar 

  72. Schneider, I., ‹Leibniz on the probable›, in J. W. Dauben (ed.), Mathematical Perspectives, New York (1981), pp. 204

    Google Scholar 

  73. Hacking, I., The Emergence of Probability, Cambridge (1975), ch. 10.

    Google Scholar 

  74. Leibniz N, Philosophischen Schriften, ed. C. I. Gerhardt, Berlin (1875–90), Vol. VII, p. 167; see Hacking, I., The Emergence of Probability, Cambridge (1975), p. 86.

    Google Scholar 

  75. Philosophischen Schriften, Vol. Ill, p. 194.

    Google Scholar 

  76. Biermann, K.-R., and Faak, M., ‘G. W. Leibniz, ‘De incerti aestimatione’, Forschungen und Fortschritte 31, pp. 45–50 (1957); see Schneider, I., ‘Leibniz on the probable’, in J. W. Dauben (ed.), Mathematical Perspectives, New York (1981), pp. 207.

    Google Scholar 

  77. Leibniz, Letter to Wagner of 1698; Schneider, I., ‹Leibniz on the probable›, in J. W. Dauben (ed.), Mathematical Perspectives, New York (1981), pp. 203

    Google Scholar 

  78. Schneider, I., ‘Leibniz on the probable’, in J. W. Dauben (ed.), Mathematical Perspectives, New York (1981), pp. 210.

    Google Scholar 

  79. See, for example, Eggleston, R., Evidence, Proof and Probability, 2nd ed., London (1983).

    Google Scholar 

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Authors
  1. James Franklin
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  1. Department of Traditional and Modern Philosophy, University of Sydney, Australia

    Stephen Gaukroger

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Franklin, J. (1991). The Ancient Legal Sources of Seventeenth-Century Probability. In: Gaukroger, S. (eds) The Uses of Antiquity. Australasian Studies in History and Philosophy of Science, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3412-5_6

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  • DOI: https://doi.org/10.1007/978-94-011-3412-5_6

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