David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
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.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Wilhelm Ochs (1981). Some Comments on the Concept of State in Quantum Mechanics. Erkenntnis 16 (3):339 - 356.
Miklós Rédei (1985). Note on an Argument of W. Ochs Against the Ignorance Interpretation of State in Quantum Mechanics. Erkenntnis 23 (2):143 - 148.
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.
Similar books and articles
Jan-Willem Romeijn (2005). Theory Change and Bayesian Statistical Inference. Philosophy of Science 72 (5):1174-1186.
Fei Xu & Joshua B. Tenenbaum (2001). Rational Statistical Inference: A Critical Component for Word Learning. Behavioral and Brain Sciences 24 (6):1123-1124.
M. Colombo & P. Series (2012). Bayes in the Brain--On Bayesian Modelling in Neuroscience. British Journal for the Philosophy of Science 63 (3):697-723.
Frederick Eberhardt & David Danks (2011). Confirmation in the Cognitive Sciences: The Problematic Case of Bayesian Models. [REVIEW] Minds and Machines 21 (3):389-410.
David L. Dowe (2008). Minimum Message Length and Statistically Consistent Invariant (Objective?) Bayesian Probabilistic Inference—From (Medical) “Evidence”. Social Epistemology 22 (4):433 – 460.
David Papineau (1994). The Virtues of Randomization. British Journal for the Philosophy of Science 45 (2):437-450.
Mikl (1992). When Can Non-Commutative Statistical Inference Be Bayesian? International Studies in the Philosophy of Science 6 (2):129 – 132.
Miklós Rédei (1992). When Can Non‐Commutative Statistical Inference Be Bayesian? International Studies in the Philosophy of Science 6 (2):129-132.
Added to index2010-05-07
Total downloads7 ( #203,584 of 1,413,175 )
Recent downloads (6 months)1 ( #153,719 of 1,413,175 )
How can I increase my downloads?