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Problems of Probability Theory in the Light of Quantum Mechanics

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Modern Physics and its Philosophy

Part of the book series: Synthese Library ((SYLI,volume 43))

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Abstract

Through the work of modern [mathematical] physicists and logicians1 the clarification of the probability concept as used in empirical science has reached a high degree of perfection. Some questions, however, concerning the form of probability statements as well as their meaning are still under discussion2. Therefore it may be of some interest to investigate what contribution to the solution of these problems can be obtained by the logical analysis of a theory the fundamental laws of which are probability laws.

Revised reprint from Synthese, Unity of Science Forum 3 (1938) 35–40 (Part I); 4 (1939) No. 2, 49–54 (Part II); 4 (1939) No. 4 65–71 (Part III).

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Notes

  1. Cf. particularly H. Reichenbach, Wahrscheinlichkeitslehre, Leiden 1935.

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  2. R. v. Mises, Wahrscheinlichkeit, Statistik und Wahrheit, Wien 1936.

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  3. E. Nagel, Principles of the Theory of Probability, International Encyclopedia of Unified Science, Vol. I, No. 6, Chicago 1939.

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  4. Cf., e.g., K. Popper, Logik der Forschung, Wien 1935.

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  5. E. Nagel, ‘The Meaning of Probability’, Journal of the American Statistical Association 31 (1936).

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  6. C. G. Hempel, ‘On the Logical Form of Probability-Statements’, Synthese (Erkenntnis) 7 (1938) 154.

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  7. M. Strauss, ‘Mathematics as Logical Syntax - A Method to formalize the Language of a Physical Theory’, Erkenntnis 7 (1938) 147–53. [Revised reprint: Chapter VI of this volume.]

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  8. R. Carnap, Logical Syntax of Language, London-New York 1936.

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  9. H. Reichenbach, ‘On Probability and Induction’, Philosophy of Science 5 (1938) No. 1.

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© 1972 D. Reidel Publishing Company, Dordrecht, Holland

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Strauss, M. (1972). Problems of Probability Theory in the Light of Quantum Mechanics. In: Modern Physics and its Philosophy. Synthese Library, vol 43. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2893-6_8

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  • DOI: https://doi.org/10.1007/978-94-010-2893-6_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-2895-0

  • Online ISBN: 978-94-010-2893-6

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