David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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International Studies in the Philosophy of Science 6 (2):129 – 132 (1992)
Based on recalling two characteristic features of Bayesian statistical inference in commutative probability theory, a stability property of the inference is pointed out, and it is argued that that stability of the Bayesian statistical inference is an essential property which must be preserved under generalization of Bayesian inference to the non-commutative case. Mathematical no-go theorems are recalled then which show that, in general, the stability can not be preserved in non-commutative context. Two possible interpretations of the impossibility of generalization of Bayesian statistical inference to the non-commutative case are offered, none of which seems to be completely satisfying.
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References found in this work BETA
Miklós Rédei (1985). Note on an Argument of W. Ochs Against the Ignorance Interpretation of State in Quantum Mechanics. Erkenntnis 23 (2):143 - 148.
Wilhelm Ochs (1981). Some Comments on the Concept of State in Quantum Mechanics. Erkenntnis 16 (3):339 - 356.
Citations of this work BETA
Giovanni Valente (2007). Is There a Stability Problem for Bayesian Noncommutative Probabilities? Studies in History and Philosophy of Science Part B 38 (4):832-843.
Giovanni Valente (2007). Is There a Stability Problem for Bayesian Noncommutative Probabilities? Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (4):832-843.
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Miklós Rédei (1992). When Can Non‐Commutative Statistical Inference Be Bayesian? International Studies in the Philosophy of Science 6 (2):129-132.
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