The significance of the ergodic decomposition of stationary measures for the interpretation of probability
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
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Synthese 53 (3):419-432 (1982)
De Finetti's representation theorem is a special case of the ergodic decomposition of stationary probability measures. The problems of the interpretation of probabilities centred around de Finetti's theorem are extended to this more general situation. The ergodic decomposition theorem has a physical background in the ergodic theory of dynamical systems. Thereby the interpretations of probabilities in the cases of de Finetti's theorem and its generalization and in ergodic theory are systematically connected to each other.
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References found in this work BETA
David B. Malament & Sandy L. Zabell (1980). Why Gibbs Phase Averages Work--The Role of Ergodic Theory. Philosophy of Science 47 (3):339-349.
Jan von Plato (1981). Reductive Relations in Interpretations of Probability. Synthese 48 (1):61 - 75.
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