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Comments on Popper’s Interpretations of Probability

  • M. Rédei
  • P. Szegedi
Part of the Fundamental Theories of Physics book series (FTPH, volume 24)

Abstract

The aim of this talk is to comment, mainly from the point of view of the two typical probabilistic physical theories, classical statistical mechanics /CSM/ and quantum mechanics /QM/, on Popper’s interpretations of probability. Based on recalling some recent developments both in CSM and in QM we will try to support our main these which is the following: Neither the frequency nor the propensity interpretation of probability alone seem to be able to reflect satisfactorily the various contents of probabilities in CSM and QM. In particular arguments can be given against the adequacy either of the frequency or of the propensity interpretation in CSM, and elaboration of some probability interpretation which is able to describe the hierarchy of probabilities in QM seems to be necessary.

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References

  1. [Andrews 1975]
    : F.C. Andrews,Equilibrium Statistical Mechanics /John Wiley, New York,1975/Google Scholar
  2. [Bohigas 1986]
    : O. Bohigas, MJ. Giannoni, C. Schmit, ’Spectral fluctuations of classicaly chaotic quantum systems’, in:Lecture Notes in Physics No.263 /1986/Google Scholar
  3. [Casati 1985]
    : G. Casati, ’Limitation of chaotic motion in quantum mechanics’, in:Lecture Notes in Mathematics No.1136 /1985/Google Scholar
  4. [Klymontovich 1986]
    : Yu. L. Klimontovich, Statistical Physics /Harwood Academic Publishers, New York,1986/Google Scholar
  5. [Krylov 1979]
    : N.S. Krvlov, Works on Foundations of Statistical Physics /Princeton University Press, Princeton,1979/Google Scholar
  6. [Kubo 1965]
    : R. Kubo, Statistical Mechanics, an Advanced Course with Problems and Solutions /Interscience, New York,1965/zbMATHGoogle Scholar
  7. [Landau 1958]
    : L.D. Landau, E.M. Lifschitz, Statistical Physics /Pergamon Press, London,1958/zbMATHGoogle Scholar
  8. [Lasota and Mackey 1985]
    : A. Lasota, M.C. Mackev, Probabilistic Properties of Deterministic systems /Cambridge University Press, Cambridge,1985/zbMATHGoogle Scholar
  9. [Milne 1985]
    :P.Milne, ’Note on Popper, Propensities and the Two-Slit Experiment’ British J.Phil.Sci. 36 Google Scholar
  10. [Popper 1957a]
    : K. Popper, ’Philosophy of Science. A personal report’/British Philosophy in the mid century, ed. by C.A. Mace /London,1957/Google Scholar
  11. [Popper 1957b]
    : K. Popper, ’The Propensity Interpretation of the Calculus of Probability and the Quantum Theory’.In:Observation and Interpretation ed. by S. Krner /Butterworth, London,1957/Google Scholar
  12. [Popper 1959a]
    : K. Popper, The Logic of Scientific Discovery /Hutchinson, London,1959/zbMATHGoogle Scholar
  13. [Popper 1959b]
    : K. Popper, ’The Propensity interpretation of Probability’, British J.Phil.Sci. 10 Google Scholar
  14. [Popper 19821]
    : K. Popper, Postscript to the logic of Scientific Discovery, Vol.I Realism and the Aim of Science /Hutchinson, London,1982/Google Scholar
  15. [Popper 1982 II]
    : K. Popper, Postscript to the Logic of Scientific Discovery, Vol.II The Open Universe /Hutchinson, London,1982/Google Scholar
  16. [Popper 1982 III]
    : K. Popper, Postscript to the Logic of Scientific Discovery, Vol.III. Quantum Theory and the Schisms in Physics /Hutchinson, London,1982/Google Scholar
  17. [Wightman 1985]
    : A.S. Wightman, ’Regular and chaotic motions in dynamic systems’, in:Regular and chaotic motion in dynamic systems ed. by G. Velo and A.S. Wightman /Plenum Press, New York,1985/Google Scholar

Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • M. Rédei
    • 1
  • P. Szegedi
    • 1
  1. 1.Loránd Eötvös UniversityBudapestHungary

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