The significance of the ergodic decomposition of stationary measures for the interpretation of probability
Synthese 53 (3):419-432 (1982)
| Abstract | 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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Jan Von Plato (1982). Probability and Determinism. Philosophy of Science 49 (1):51-66.
Karl Petersen (1996). Ergodic Theorems and the Basis of Science. Synthese 108 (2):171 - 183.
Peter B. M. Vranas (1998). Epsilon-Ergodicity and the Success of Equilibrium Statistical Mechanics. Philosophy of Science 65 (4):688-708.
Bas Spitters (2006). A Constructive View on Ergodic Theorems. Journal of Symbolic Logic 71 (2):611 - 623.
Janneke van Lith (2001). Ergodic Theory, Interpretations of Probability and the Foundations of Statistical Mechanics. Studies in History and Philosophy of Science Part B 32 (4):581-594.
Janneke van Lith (2001). Ergodic Theory, Interpretations of Probability and the Foundations of Statistical Mechanics. Studies in History and Philosophy of Modern Physics 32 (4):581--94.
Jan von Plato (1982). The Generalization of de Finetti's Representation Theorem to Stationary Probabilities. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1982:137 - 144.
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