Abstract
The classical concept of probability can be applied to quantum mechanical properties only if these properties are not objectivized. The objectivation of all, including incommensurable, properties leads to a contradiction with the theory of probability. However, it is shown in this paper that there is still another possibility to interpret quantum theory. The quantum mechanical properties can be objectivized if one takes into account this objectivity already in the foundation of logic and probability. The result is a restricted logical calculus and a generalized probability concept, which is consistent with the quantum mechanical formalism, even if it is interpreted as a theory of objective properties.
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© 1976 D. Reidel Publishing Company, Dordrecht-Holland
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Mittelstaedt, P. (1976). On the Applicability of the Probability Concept to Quantum Theory. In: Harper, W.L., Hooker, C.A. (eds) Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science. The University of Western Ontario Series in Philosophy of Science, vol 6c. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1438-0_10
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DOI: https://doi.org/10.1007/978-94-010-1438-0_10
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