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Erkenntnis

, Volume 31, Issue 2–3, pp 283–321 | Cite as

The rule of succession

  • Sandy L. Zabell
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References

  1. Baker, Keith Michael: 1975,Condorcet: From Natural Philosophy to Social Mathematics, University of Chicago Press, Chicago.Google Scholar
  2. Bayer, Thomas: 1764, ‘An Essay Towards Solving a Problem in the Doctrine of Chances’,Philosophical Transactions of the Royal Society of London 53, 370–418. reprinted in E. S. Pearson and M. G. Kendall (eds.),Studies in the History of Statistics and Probability, Vol. 1, Charles Griffin, London, 1970, pp. 134–53, page references are to this edition.Google Scholar
  3. Bernoulli, Jakob: 1713,Ars conjectandi, Thurnisiorum, Basel, reprinted inDie Werke von Jakob Bernoulli, Vol. 3, Birkhauser, Basel. 1975, pp. 107–286.Google Scholar
  4. Bertrand, J.: 1907,Calcul des probilités, Gauthier-Villars, Paris, (1st ed., 1889).Google Scholar
  5. Bolzano, Bernard: 1837,Wissenschaftslehre, translated 1972 under the titleTheory of Science, R. George (ed. and trans.), University of California Press, Berkeley.Google Scholar
  6. Boole, George: 1854,An Investigation of the Laws of Thought, Macmillan, London, reprinted 1958, Dover, New York.Google Scholar
  7. Broad, C. D.: 1918, ‘The Relation Between Induction and Probability’,Mind 27, 389–404;29, 11–45.Google Scholar
  8. Broad, C.D.: 1922, ‘Critical Notice on J. M. Keynes’,A Treatise on Probability, Mind 31, 72–85.Google Scholar
  9. Broad, C. D.: 1924, ‘Mr. Johnson on the Logical Foundations of Science’,Mind 33, 242–61, and 369–84.Google Scholar
  10. Broad, C. D.: 1927, ‘The Principles of Problematic Induction’,Proceedings of the Aristotelian Society 28, 1–46.Google Scholar
  11. Carnap, Rudolph: 1950,Logical Foundations of Probability, 2nd ed. 1962, The University of Chicago Press, Chicago.Google Scholar
  12. Carnap, Rudolph: 1952,The Continuum of Inductive Methods, The University of Chicago Press, Chicago.Google Scholar
  13. Condorcet, Le, Marquis de: 1785,Essai sur l'application de l'analyse à la probilité dés décisions rendues à la pluralité des voix, Imprimerie Royale, Paris.Google Scholar
  14. Cournot, Antoine Augustin: 1843,Exposition de la théorie des chances et des probabilités, Libraire de L. Hachette, Paris.Google Scholar
  15. Dale, A. I.: 1986, ‘A Newly-Discovered Result of Thomas Bayes’,Archive for History of Exact Sciences 35, 101–13.Google Scholar
  16. De Finetti, Bruno: 1937, ‘La prevision: ses lois logiques, ses sources subjectives’,Annales de l'Institut Henri Poincaré 7, 1–68, translated in H. E. Kyburg, Jr. and H. E. Smokler, (eds.),Studies in Subjective Probability, Wiley, New York, 1964, pp. 93–158, page references are to this edition.Google Scholar
  17. De Morgan, Augustus: 1838,An Essay on Probabilities, and their Application to Life Contingencies and Insurance Offices, Longman, Orme, Brown, Green, and Longmans, London.Google Scholar
  18. De Morgan, Augustus: 1845, ‘Theory of Probabilities’,Encyclopedia Metropolitana, Vol. 2: Pure Mathematics, pp. 393–490, B. Fellowes et al., London.Google Scholar
  19. De Morgan, Augustus: 1847,Formal Logic: Or the Calculus of Inference Necessary and Probable, Taylor and Watton, London.Google Scholar
  20. Diaconis, Persi: 1977, ‘Finite Forms of de Finetti's Theorem on Exchangeability’,Synthese 36, 271–81.Google Scholar
  21. Edgeworth, Francis Ysidro: 1884, ‘APriori Probabilities’,Philosophical Magazine (Series 5)18, 205–10.Google Scholar
  22. Edgeworth, Francis Ysidro: 1922, ‘The Philosophy of Chance’,Mind 31, 257–83.Google Scholar
  23. Edwards, A. W. F.: 1978, ‘Commentary on the Arguments of Thomas Bayes’,Scandinavian Journal of Statistics 5, 116–18.Google Scholar
  24. Edwards, A. W. F.: 1987,Pascal's Arithmetic Triangle, Oxford University Press, New York.Google Scholar
  25. Feller, William: 1968,An Introduction to Probability Theory and its Applications, Vol. 1, 3rd ed., Wiley, New York.Google Scholar
  26. Fisher, Ronald A.: 1973,Statistical Methods and Scientific Inference, 3rd ed., (1st ed., 1956; 2nd ed., 1959), Hafner Press, New York.Google Scholar
  27. Good, Irving John: 1950,Probability and the Weighing of Evidence, Hafner Press, New York.Google Scholar
  28. Good, Irving John: 1965,The Estimation of Probabilities: An Essay on Modern Bayesian Methods, MIT Press, Cambridge, Massachusetts.Google Scholar
  29. Goodman, Nelson: 1979,Fact, Fiction, and Forecast, 3rd ed., Hackett, Indianapolis.Google Scholar
  30. Gould, H. W. and J. Kaucky: 1966, ‘Evaluation of a Class of Binomial Coefficient Summations’,Journal of Combinatorial Theory 1, 233–47.Google Scholar
  31. Hacking, Ian: 1975,The Emergence of Probability, Cambridge University Press, New York.Google Scholar
  32. Hartley, David: 1749,Observations on Man, his Frame, his Duty, and his Expectations, S. Richardson, London.Google Scholar
  33. Heath, P. L.: 1967, ‘Jevons, William Stanley’, in P. Edwards (ed.),The Encyclopedia of Philosophy, Vol. 4, Macmillan, New York, pp. 260–61.Google Scholar
  34. Hume, David: 1739,A Treatise of Human Nature, London. Page references are to the 2nd edition of the L. A. Selbe-Bigge text, revised by P. H. Nidditch, Clarendon Press, Oxford, 1978.Google Scholar
  35. Jeffreys, Harold: 1939,The Theory of Probability, Clarendon Press, Oxford, (2nd ed. 1958; 3rd ed. 1961).Google Scholar
  36. Jeffreys, Harold: 1973,Scientific Inference, 3rd ed., Cambridge University Press, New York.Google Scholar
  37. Jeffreys, Harold and Dorothy, Wrinch: 1919, ‘On Certain Aspects of the Theory of Probability’,Philophical Magazine 38, 715–31.Google Scholar
  38. Jevons, William Stanley: 1874,The Principles of Science: A Treatise on Logic and Scientific Method, 2 vols., Macmillan, London, (2nd ed., 1877), reprinted 1958, Dover, New York.Google Scholar
  39. Johnson, William Ernest: 1924,Logic, Part III: The Logical Foundations of Science, Cambridge University Press, Cambridge.Google Scholar
  40. Johnson, William Ernest: 1932, ‘Probability: The Deductive and Inductive Problems’,Mind 49, 409–23.Google Scholar
  41. Kamlah, Andreas: 1983, ‘Probability as a Quasi-Theoretical Concept: J. v. Kries' Sophisticated Account After a Century’,Erkenntnis 19, 239–51.Google Scholar
  42. Kamlah, Andreas: 1987, ‘The Decline of the Laplacian Theory of Probability: A Study of Stumpf, von Kries, and Meinong’, in L. Kruger, L. J. Daston, and M. Heidelberger (eds.),The Probabilistic Revolution, Volume 1: Ideas in History, MIT Press, Cambridge, Massachusetts, pp. 91–110.Google Scholar
  43. Keynes, John Maynard: 1921,A Treatise on Probability, Macmillan, London.Google Scholar
  44. Kneale, William: 1949,Probability and Induction, The Clarendon Press, Oxford.Google Scholar
  45. Knopp, Konrad: 1947,Theory and Application of Infinite Series, Hafner Press, New York.Google Scholar
  46. Kries, Johann von: 1886,Die Principien der Wahrscheinlichkeitsrechnung, Mohr, Tübingen, (2nd ed., 1927).Google Scholar
  47. Krüger, Lorenz: 1987, ‘The Slow Rise of Probabilism’, in L. Krüger, L. J. Daston, and M. Heidelberger (eds.),The Probabilistic Revolution, Volume 1: Ideas in History, MIT Press, Cambridge, Massachusetts, pp. 59–89.Google Scholar
  48. Laplace, Pierre Simon Marquis de: 1774, ‘Mémoire sur la probabilité des causes par les évenements’,Mémoires de l'Académie royale des sciences presentés par divers savans 6, 621–56, reprinted inOeuvres complètes de Laplace (1878–1912), Vol. 8, pp. 27–65, Gauthier-Villars, Paris, translated in Stigler (1986).Google Scholar
  49. Laplace, Pierre Simon Marquis de: 1812,Théorie analytique des probabilités, Courcier, Paris, 2nd ed., 1814; 3rd ed., 1820, page references are toOeuvres complètes de Laplace, Vol. 7, Gauthier-Villars, Paris, 1886.Google Scholar
  50. Laplace, Pierre Simon Marquis de: 1814,Essai philosophique sur les probabilités, Courcier, Paris, page references are toOeuvres complètes de Laplace, vol. 7, Gauthier-Villars, Paris, 1886.Google Scholar
  51. Laudan, L.: 1973, ‘Induction and Probability in the Nineteenth Century’, in P. Suppes et al. (eds.),Logic, Methodology and Philosophy of Science IV, North-Holland, Amsterdam, pp. 429–38.Google Scholar
  52. Madden, Edward H.: 1960, ‘W. S. Jevons on Induction and Probability’, in E. H. Madden (ed.),Theories of Scientific Method: The Renaissance Through the Nineteenth Century, University of Washington Press, Seattle, pp. 233–47.Google Scholar
  53. Maistrov, L. E.: 1974,Probability Theory: A Historical Sketch, Academic Press, New York.Google Scholar
  54. Mill, John Stuart: 1843,A System of Logic, 2 Vols., John W. Parker, London.Google Scholar
  55. Ostrogradskii, M. V.: 1848, ‘On a Problem Concerning Probabilities’,St. Petersburg Academic of Sciences 6, 321–46, reprinted in M. V. Ostrogradskii,Polnoe sobranie trudov, Vol. 3, Academy of Sciences URRSSR, Kiev, 1961.Google Scholar
  56. Pearson, Karl: 1978,The History of Statistics in the 17th and 18th Centuries, E. S. Pearson (ed.), Macmillan, New York.Google Scholar
  57. Poincaré, Henri: 1902,La science et l'hypothèse, Paris, translated 1905 asScience and Hypothesis, J. W. Greenstreet (trans.), Walter Scott, London; translation reprinted 1952, Dover, New York.Google Scholar
  58. Prevost, Pierre and S. A. L'Huilier: 1799, ‘Sur les probabilités’,Mémoires de l'Academie Royale de Berlin 1796, pp. 117–42.Google Scholar
  59. Prevost, Pierre and S. A. L'Huilier: 1799a, ‘Mémoire sur l'art d'estimer la probabilité des causes par les effets’,Mémoires de l'Academic Royale de Berlin 1796, pp. 3–24.Google Scholar
  60. Price, Richard: 1758,A Review of the Principal Questions in Morals, London (2nd ed., 1769; 3rd ed., 1787), reprinted 1974, D. D. Raphael (ed.), Clarendon Press, Oxford, page references are to the 1974 edition.Google Scholar
  61. Ramsey, Frank Plumpton: 1926, ‘Truth and Probability’, in R. B. Braithwaite (ed.),The Foundations of Mathematics and other Logical Essays, Routledge and Kegan, Paul, London, 1931, pp. 156–98.Google Scholar
  62. Stigler, Stephen M.: 1982, ‘Thomas Bayes's Bayesian Inference’,Journal of the Royal Statistical Society Series A 145, 250–58.Google Scholar
  63. Stigler, Stephen M.: 1983, ‘Who Discovered Bayes's Theorem?’,American Statistician 37, 290–96.Google Scholar
  64. Stigler, Stephen M.: 1986, ‘Laplace's 1774 Memoir on Inverse Probability’,Statistical Science 1, 359–78.Google Scholar
  65. Stove, D. C.: 1973,Probability and Hume's Inductive Scepticism, Clarendon Press, Oxford.Google Scholar
  66. Strong, John V.: 1976, ‘The Infinite Ballot Box of Nature: De Morgan, Boole, and Jevons on Probability and the Logic of Induction’,PSA 1976: Proceedings of the Philosophy of Science Association 1, 197–211.Google Scholar
  67. Strong, John V.: 1978, ‘John Stuart Mill, John Herschel, and the ‘Probability of Causes’,PSA 1978: Proceedings of the Philosophy of Science Association 1, 31–41.Google Scholar
  68. Terrot, Bishop Charles: 1853, ‘Summation of a Compound Series, and its Application to a Problem in Probabilities’,Transactions of the Edinburgh Philosophical Society 20, 541–45.Google Scholar
  69. Todhunter, Isaac: 1865, AHistory of the Mathematical Theory of Probability from the Time of Pascal to that of Laplace, Macmillan, London, reprinted 1965, Chelsea, New York.Google Scholar
  70. Venn, John: 1866,The Logic of Chance, Macmillan, London, (2nd ed., 1876; 3rd ed., 1888), reprinted 1962, Chelsea, New York.Google Scholar
  71. von Wright, Georg Henrik: 1957,The Logical Problem of Induction, 2nd revised edition, Macmillan, New York.Google Scholar
  72. Waring, E.: 1794,An Essay on the Principles of Human Knowledge, Deighton Bell, Cambridge.Google Scholar
  73. Whitworth, William Allen: 1901,Choice and Chance, 5th ed., Deighton Bell, Cambridge.Google Scholar
  74. Zabell, Sandy L.: 1982, ‘W. E. Johnson's “Sufficientness” Postulate’,Annals of Statistics 10, 1091–99.Google Scholar
  75. Zabell, Sandy L.: 1988, ‘Symmetry and its Discontents’, in Harper, W. and Skyrms, B. (eds.),Probability, Chance, and Causation, Vol. I, Kluwer, Dordrecht, pp. 155–190.Google Scholar
  76. Zabell, Sandy L.: 1988a, ‘Buffon, Price, and Laplace: Scientific Attribution in the 18th Century’,Archive for History of Exact Sciences 39, 173–181.Google Scholar
  77. Zabell, Sandy L.: 1989, ‘R. A. Fisher on the History of Inverse Probability’,Statistical Science, to appear.Google Scholar

Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • Sandy L. Zabell
    • 1
  1. 1.Departments of Mathematics and StatisticsNorthwestern UniversityEvanstonUSA

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