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Reductive relations in interpretations of probability

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Bibliography

  • Feller, W.,An Introduction to Probability Theory and Its Applications, vol. II, 2nd ed., Wiley, New York 1971.

    Google Scholar 

  • Fenstad, J.E., ‘The structure of logical probabilities’,Synthese 18 (1968), pp. 1–23.

    Google Scholar 

  • de Finetti, B., ‘La Prévision: ses lois logiques, ses sources subjectives’,Ann. Inst. H. Poincaré, vol. 7 (1937), pp. 1–68. English translation in Kyburg and Smokler (eds.)Studies in Subjective Probability, Wiley, New York 1964.

    Google Scholar 

  • de Finetti, B.,Theory of Probability, vols. 1, 2, Wiley, New York 1974, 1975.

    Google Scholar 

  • de Finetti, B., ‘Einstein: Originality and Intuition’,Scientia 73, vol 113 (1978), pp. 123–128.

    Google Scholar 

  • Freedman, D., ‘Mixtures of Markov processes’,Ann. Math. Stat. 33 (1962), pp. 114–118.

    Google Scholar 

  • Freedman, D., ‘Invariants under mixing which generalize de Finetti's theorem’,Ann. Math. Stat. 33 (1962), pp. 916–923.

    Google Scholar 

  • Good, I.J., ‘Discussion of Bruno de Finetti's papers’,Synthese 20 (1969), pp. 17–24.

    Google Scholar 

  • Hewitt, E. and L.J. Savage, ‘Symmetric measures on Cartesian products’,Trans. Amer. Math. Soc. 80 (1955), pp. 470–501.

    Google Scholar 

  • Jammer, M.,The Philosophy of Quantum Mechanics, Wiley, New York 1974.

    Google Scholar 

  • Jauch, J. M.,Foundations of Quantum Mechanics, Reading, Mass. 1968.

  • Los, J., ‘Remarks on foundations of probability’, inProc. Intern. Congr. Mathematicians, Stockholm 1962, pp. 225–229.

  • Los, J., ‘Semantic representation of the probability of formulas in formalized theories’,Studia Logica 14 (1963), pp. 183–196. Reprinted in Hooker (ed.)The Logico-Algebraic Approach to Quantum Mechanics, vol. 1, D. Reidel, Dordrecht 1975.

    Google Scholar 

  • Margenau, H. and J.L. Park, ‘Objectivity in quantum mechanics’, in Bunge (ed.)Delaware Seminar on the Foundations of Physics, Springer-Verlag, Berlin 1967.

    Google Scholar 

  • Messiah, A.,Quantum Mechanics, vol. 1, North-Holland, Amsterdam 1961.

    Google Scholar 

  • von Plato, J., ‘Probability and determinism’ (to appear).

  • Schrödinger, E., ‘Über das Verhältnis der Heisenberg-Born-Jordanschen Quantenmechanik zu der meinen’,Ann. d. Phys. 79 (1926), pp. 734–756.

    Google Scholar 

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The material of this article was presented as a contributed paper to the 6th International Congress of Logic, Methodology and Philosophy of Science in Hanover, August 1979. I am indebted to Bruno de Finetti and Isaac Levi for comments concerning the congress paper. This extended version has benefitted from comments by Jens Erik Fenstad, Ilkka Niiniluoto and Ingmar Pörn.

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von Plato, J. Reductive relations in interpretations of probability. Synthese 48, 61–75 (1981). https://doi.org/10.1007/BF01064628

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