Advertisement

Jakob Bernoulli

b. 6 January 1655 d. 16 August 1705
  • Ivo Schneider
Chapter

Abstract

Jakob Bernoulli, together with his brother Johann one of the pioneers of the Leibnizian form of the calculus, transformed Huygens’ calculus of expectations to make probability its main concept. He formulated and proved the weak law of large numbers, the cornerstone of modern probability and statistics.

Keywords

Classical Measure Ther Modynamics Modern Probability Marriage Contract Naturfo Rschende Gesellschaft 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. Hald, Anders (1990). A History of Probability and Statistics and Their Applications Before 1750. Wiley, New York, Chapters 15 and 16.MATHCrossRefGoogle Scholar
  2. Hacking, Ian (1975). The Emergence of Probability. Cambridge UP, Chapters 16 and 17 andGoogle Scholar
  3. Shafer, Glenn (1978). Non-additive probabilities in the work of Bernoulli and Lambert. Archive for History of Exact Sciences, 19, 309–370, especially pp. 323–341.MathSciNetMATHCrossRefGoogle Scholar
  4. Schneider, Ivo (1981). Why do we find the origin of a calculus of probabilities in the seventeenth century? In: Probabilistic Thinking, Thermodynamics, and the Interaction of the History and Philosophy of Science. (Eds. J. Hintikka, D. Gruender and E. Agazzi) Vol. II, Reidel, Dordrecht (= Synthese Library, Bd. 146), pp. 3–24.Google Scholar
  5. Schneider, Ivo (1981). Leibniz on the Probable. In: Mathematical Perspectives, Essays on Mathematics and its Historical Development. (Ed. Joseph W. Dauben), Academic Press, New York, pp. 201–219.Google Scholar
  6. Schneider, Ivo (1984). The role of Leibniz and of Jakob Bernoulli for the development of probability theory. LLULL, Boletin de la Sociedad Española de Historia de las Ciencias, 7, 68–89.Google Scholar
  7. Die Werke von Jakob Bernoulli, vol. III. (Ed. by the Naturforschende Gesellschaft in Basel), Birkhäuser Verlag, Basel 1975.MATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Ivo Schneider

There are no affiliations available

Personalised recommendations