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Quantum Mechanics and Interpretations of Probability Theory

Neal Grossman

Open publisher page 6 citations

Abstract

Several philosophers of science have claimed that the conceptual difficulties of quantum mechanics can be resolved by appealing to a particular interpretation of probability theory. For example, Popper bases his treatment of quantum mechanics on the propensity interpretation of probability, and Margenau bases his treatment of quantum mechanics on the frequency interpretation of probability. The purpose of this paper is (i) to consider and reject such claims, and (ii) to discuss the question of whether the ψ-function refers to an individual system or to an ensemble of systems.

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What this paper is about

Several philosophers of science have claimed that the conceptual difficulties of quantum mechanics can be resolved by appealing to a particular interpretation of probability theory. For example, Popper bases his treatment of quantum mechanics on the propensity interpretation of probability, and Margenau bases his treatment of quantum mechanics on the frequency interpretation of probability. The purpose of this paper is (i) to consider and reject such claims, and (ii) to discuss the question of whether the ψ-function refers to an individual system or to an ensemble of systems.

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Available abstract

Several philosophers of science have claimed that the conceptual difficulties of quantum mechanics can be resolved by appealing to a particular interpretation of probability theory. For example, Popper bases his treatment of quantum mechanics on the propensity interpretation of probability, and Margenau bases his treatment of quantum mechanics on the frequency interpretation of probability. The purpose of this paper is (i) to consider and reject such claims, and (ii) to discuss the question of whether the ψ-function refers to an individual system or to an ensemble of systems.

Key concepts: Interpretations of quantum mechanics, Consistent histories, Minority interpretations of quantum mechanics, Quantum probability, Stochastic interpretation, Relational quantum mechanics, Probability amplitude, Interpretation (philosophy)

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