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Discussion: Accardi on Quantum Theory and The “Fifth Axiom” of Probability

Published online by Cambridge University Press:  01 April 2022

Hans Van Den Berg ,
Dick Hoekzema  and
Hans Radder
Hans Van Den Berg
Affiliation:
Department of Mathematics Landbouwuniversiteit Wageningen
Dick Hoekzema
Affiliation:
Departments of Physics and Philosophy Rijksuniversiteit Utrecht
Hans Radder
Affiliation:
Department of Philosophy Vrije Universiteit Amsterdam
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Abstract

In this paper we investigate Accardi's claim that the “quantum paradoxes” have their roots in probability theory and that, in particular, they can be evaded by giving up Bayes' rule, concerning the relation between composite and conditional probabilities. We reach the conclusion that, although it may be possible to give up Bayes' rule and define conditional probabilities differently, this contributes nothing to solving the philosophical problems which surround quantum mechanics.

Information

Type
Discussion
Information
Philosophy of Science , Volume 57 , Issue 1 , March 1990 , pp. 149 - 157
Copyright
Copyright © 1990 by the Philosophy of Science Association

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References

REFERENCES

Accardi, L. (1981), “Topics in Quantum Probability”, Physics Reports 77: 169–172.10.1016/0370-1573(81)90070-3CrossRefGoogle Scholar
Accardi, L. (1984a), “The Probabilistic Roots of the Quantum Mechanical Paradoxes”, in Diner et al. (eds.), The Wave-Particle Dualism. Dordrecht: Reidel, pp. 297–330.10.1007/978-94-009-6286-6_16CrossRefGoogle Scholar
Accardi, L. (1984b), “Some Trends and Problems in Quantum Probability”, in Accardi et al., Quantum Probability and Applications to the Quantum Theory of Irreversible Processes. Springer Lecture Notes in Mathematics 1055. New York: Springer-Verlag.10.1007/BFb0071705CrossRefGoogle Scholar
Accardi, L. (1985), “The Role of Mathematics in Scientific Synthesis and the Interpretation of Quantum Theory”, Invited talk at the XIV-th International Conference on the Unity of Sciences, Houston (Preprint).Google Scholar
Einstein, A. (1916), “Grundlagen der allgemeinen Relativitätstheorie”, Annalen der Physik 49: 769–822.10.1002/andp.19163540702CrossRefGoogle Scholar
Gudder, S. P. (1985), Book review of Diner et al. The Wave-Particle Dualism in Philosophy of Science 52: 169–170.10.1086/289237CrossRefGoogle Scholar