Miklós Rédei
London School of Economics
Abstract 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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DOI 10.1080/02698599208573421
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Entropy - A Guide for the Perplexed.Roman Frigg & Charlotte Werndl - 2011 - In Claus Beisbart & Stephan Hartmann (eds.), Probabilities in Physics. Oxford University Press. pp. 115-142.
Is There a Stability Problem for Bayesian Noncommutative Probabilities?Giovanni Valente - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (4):832-843.
On Quantum Conditional Probability.Isabel Guerra Bobo - 2013 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 28 (1):115-137.

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