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Archive for History of Exact Sciences

, Volume 16, Issue 2, pp 119–136 | Cite as

Some remarks on the prehistory of the concept of statistical probability

  • J. van Brakel
Article

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Statistical Probability 
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Bibliography

  1. 1.
    Aristotle, Works, W.D. Ross (Ed.), Oxford University Press.Google Scholar
  2. 2.
    Barnwell, R.G. (1856), A Sketch of the Life and Times of John de Witt &c, New York: Pudney & Russell.Google Scholar
  3. 3.
    Bartlett, M.S. (1956), Essays on Probability and Statistics, London (1962), pp. 90–103.Google Scholar
  4. 4.
    Bosmans, H. (1924), Sur un point de l'histoire du calcul des probabilités (Pascal et Huygens), Ann. Société Scientifique, 43 (1924) 318–326.Google Scholar
  5. 5.
    Bouwstoffen (1897), Bouwstoffen voor de Geschiedenis van de Levensverzekeringen en Lijfrenten in Nederland, Directie Algemene Maatschappij van Levensverzekering en Lijfrenten (Ed.), Amsterdam. See also Mémoires (1898).Google Scholar
  6. 6.
    Braithwaite, R.N. (1953), Scientific Explanation, Cambridge University Press (1968).Google Scholar
  7. 7.
    Byrne, E.F. (1968), Probability and Opinion, The Hague: Nijhoff.Google Scholar
  8. 8.
    Cantor, M., Vorlesungen über Geschichte der Mathematik, Leipzig; 1 (1907) 561; 2 (1900) 327f, 501f, 520ff, 537, 754ff, 771, 907; 3 (1901) 41, 45ff, 91.Google Scholar
  9. 9.
    Cardano, G. (1563), Liber de Ludo Aleae. Year of writing unknown, first published 1663; translation: Ore (1953, pp. 183–241).Google Scholar
  10. 10.
    Carnap, R. (1950), Logical Foundations of Probability. University of Chicago Press.Google Scholar
  11. 11.
    Cicero, De Divinatione; De Fato. Translation: W.A. Falconer, London: Heinemann (1964).Google Scholar
  12. 12.
    Coumet, E. (1970), La théorie du hasard est-elle née par hasard? Ann. Econ. Soc. Civ. 25 (1970) 574–598.Google Scholar
  13. 13.
    David, F.N. (1955), Dicing and gaming, Biometrika 42 (1955) 1–17.Google Scholar
  14. 14.
    David, F.N. (1962), Games, Gods and Gambling, London: Griffin.Google Scholar
  15. 15.
    Drake, S. (1974), Galileo: Two New Sciences, University of Wisconsin Press.Google Scholar
  16. 16.
    Fruin-Japikse (1913), Brieven van Johan de Witt, N. Japikse (Ed.), Amsterdam: J. Müller, vol. IV: 1670–1672.Google Scholar
  17. 17.
    Fruin-Japikse (1922), Brieven aan Johan de Witt, N. Japikse (Ed.), Amsterdam: J. Müller, vol. I (1919), vol. II (1922).Google Scholar
  18. 18.
    Galilei, G. (1618), Sopra le Scoperte de i Dadi, Le Opere di Galileo Galilei, Firenze, 8 (1898) 591–594. Translation: E. H. Thone, in: David (1962, pp. 192–195).Google Scholar
  19. 19.
    Haaften, M. van (1920), Is de Witt's “Waerdye” zoek geweest?, Het Verzekeringsarchief, 1 (1920) 41–46.Google Scholar
  20. 20.
    Haaften, M. van (1923), Het Wiskundig Genootschap, Groningen: Noordhoff, pp. 121–128.Google Scholar
  21. 21.
    Haaften, M. van (1925), Johan de Witt en de levensverzekering, De Levensverzekering, 2 (1925) 171–185.Google Scholar
  22. 22.
    Haas, K. (1956), Die mathematischen Arbeiten von Johann Hudde, Centaurus, 4 (1956) 235–284.Google Scholar
  23. 23.
    Hacking, I. (1971), Jacques Bernoulli's art of conjecturing, Brit. J. Phil. Sci., 22 (1971) 209–229.Google Scholar
  24. 24.
    Hacking, I. (1975), The Emergence of Probability, Cambridge University Press.Google Scholar
  25. 25.
    Hasover, A.M. (1967), Random mechanisms in talmudic literature, Biometrika, 54 (1967) 316–321.Google Scholar
  26. 26.
    Hempel, C.C. (1965), Aspects of Scientific Explanation, New York: The Free Press.Google Scholar
  27. 27.
    Hendriks, F. (1851–3), Contributions to the History of Insurance and of the Theory of Life Contingencies, London: C. &. E. Layton (1851); also in: The Assurance Magazine, 2 (1852) 222–258, 3 (1853).Google Scholar
  28. 28.
    Houtzager, D. (1950), Hollands Lijf- en Losrenteleningen vóór 1672, Thesis, Rotterdam.Google Scholar
  29. 29.
    Hudde, J., Correspondence with Chr. Huygens in: Huygens Oeuvres, vol. VII; Correspondence with De Witt in: Fruin-Japikse (1913).Google Scholar
  30. 30.
    Huygens, Chr. (1957), Du Calcul dans les Jeux de Hasard (Van Rekeningh in Spelen van Geluck), Oeuvres Complètes de Christian Huygens, The Hague, 14 (1920) 61–179.Google Scholar
  31. 31.
    Huygens, L., Correspondence with Chr. Huygens, in: Huygens, Oeuvres, vol. VI.Google Scholar
  32. 32.
    Kendall, M.G. (1956), The beginnings of a probability calculus, Biometrika, 43 (1956) 1–8.Google Scholar
  33. 33.
    Kendall, M.G. (1960), Where shall the history of statistics begin?, Biometrika, 47 (1960) 447–449.Google Scholar
  34. 34.
    Keynes, J.M. (1921), A Treatise on Probability, London: MacMillan (1963).Google Scholar
  35. 35.
    Kneale, W. (1949), Probability and Induction, Oxford University Press (1966).Google Scholar
  36. 36.
    Laplace, P.S. de (1820), Théorie Analytique des Probabilités, Oeuvres, vol. VII, Paris (1847). First edition: 1812.Google Scholar
  37. 37.
    Margenau, H. (1950), The Nature of Physical Reality, New York.Google Scholar
  38. 38.
    Mémoires (1898), Mémoires pour servir à l'Histoire des Assurances sur la Vie et des Rentes viagères, enlarged edition of Bouwstoffen (1897), Amsterdam.Google Scholar
  39. 39.
    Mises, R. von (1928), Wahrscheinlichkeit, Statistik und Wahrheit, Vienna: Springer (1972).Google Scholar
  40. 40.
    Moivre, A. de (1756), The Doctrine of Chances and A Treatise of Annuities on Lives, 3rd ed., London. First edition: 1718.Google Scholar
  41. 41.
    Ore, O. (1953), Cardano: The Gambling Scholar, Princeton.Google Scholar
  42. 42.
    Paulys Real-Encyclopädie der Klassischen Altertumswissenschaft; 2. Band, G. Wissowa (Ed.), Stuttgart: Metzler (1896), art. Astragalomanteia;Google Scholar
  43. 43.
    Rabinovitch, N.L. (1975?), Probability and Statistical Inference in Ancient and Medieval Jewish Literature, in press (?). Cf. Biometrika, 56 (1969) 437–441; 57 (1970) 203–205.Google Scholar
  44. 44.
    Rooijen, J.P. van (1937), Le Rapport de Johan de Witt &c, Het Verzekeringsarchief, 18 (1937) 81–85. See also van Haaften (1920, 1923).Google Scholar
  45. 45.
    Sambursky, S. (1956), On the possible and the probable in ancient Greece, Osiris, 12 (1956) 35–48.Google Scholar
  46. 46.
    Sheynin, O.B. (1968), On the early history of the law of large numbers, Biometrika, 55 (1968) 459–467.Google Scholar
  47. 47.
    Sheynin, O.B. (1970), Daniel Bernoulli on the normal law, Biometrika, 57 (1970) 199–202.Google Scholar
  48. 48.
    Sheynin, O.B. (1973), Mathematical treatment of astronomical observations (a historical essay), Archive for History of Exact Sciences, 11 (1973) 97–126.Google Scholar
  49. 49.
    Sheynin, O.B. (1974), On the prehistory of the theory of probability, Archive for History of Exact Sciences, 12 (1974) 97–141.Google Scholar
  50. 50.
    Struyck, N. (1740), Les Oeuvres de Nicolas Struyck, Amsterdam: La Société Générale Néerlandaise d'Assurance &c (1912).Google Scholar
  51. 51.
    Studies (1970), Studies in the History of Statistics and Probability, E.S. Pearson & M.G. Kendall (Eds.), London: Griffin.Google Scholar
  52. 52.
    Taton, R. (1954), Review of Ore's translation of Cardano (1563), Revue d'Histoire des Sciences, 1 (1954) 288–289.Google Scholar
  53. 53.
    Thomas von Aquin, Summa Contra Gentiles. German translation: H. Fahsel, Zürich (1946).Google Scholar
  54. 54.
    Todhunter, I. (1865), A History of the Mathematical Theory of Probability, New York: Chelsea (1949).Google Scholar
  55. 55.
    Venn, J. (1888), The Logic of Chance, New York (1962). First edition: 1866.Google Scholar
  56. 56.
    Walker, H.M. (1931), Studies in the History of Statistical Method, Baltimore: Williams & Wilkins.Google Scholar
  57. 57.
    Westergaard, H. (1932), Contributions to the History of Statistics, London: P.S. King.Google Scholar
  58. 58.
    Witt, J. de (1671), Waerdye van Lyf-Renten naer proportie van los-renten. Dutch reprint: Feest-gave van het Wiskundig Genootschap te Amsterdam, D. Bierens de Haan (Ed.), Haarlem (1879). Translation in modern Dutch: J.P. van Rooijen, de Levensverzekering, 11 (1934) 117–142. English translation: Hendriks (1851, pp. 40–58), Hendriks (1852), and Barnwell (1856, pp. 81–108). French translation: P.J.L. de Chateleux, Het Verzekeringsarchief, 18 (1937) 41–71.Google Scholar

Copyright information

© Spring-Verlag 1976

Authors and Affiliations

  • J. van Brakel
    • 1
  1. 1.Physical Laboratory Foundations of PhysicsState University of UtrechtThe Netherlands

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