Is there a stability problem for Bayesian noncommutative probabilities? |
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Authors: | Giovanni Valente |
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Institution: | aCommittee for Philosophy and the Sciences, Philosophy Department, University of Maryland, College Park, USA |
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Abstract: | A stability condition for Bayesian statistical inference, which Redei (1992). When can non-commutative statistical inference be Bayesian? International Studies in the Philosophy of Science, 6, 129–132; (1998). Quantum logic in algebraic approach. Dordrecht: Kluwer Academic Publishers] formulated as a rationality constraint holding in classical probability theory, is shown to fail in quantum mechanics. That allegedly challenges a Bayesian interpretation of quantum probabilities. In this paper we demonstrate that Redei's argument does not apply to quantum mechanics. Moreover, we provide a solution to the problem of Bayesian noncommutative statistical inference arising from the violation of stability condition in general probability spaces. |
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Keywords: | Bayesianism Stability Quantum von Neumann algebras |
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