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
Jack Alan Reynolds
Learn more about PhilPapers
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.
|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
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.
Citations of this work BETA
No citations found.
Similar books and articles
Jan Von Plato (1982). Probability and Determinism. Philosophy of Science 49 (1):51-66.
Sheldon Goldstein & Roderich Tumulka, Long-Time Behavior of Macroscopic Quantum Systems: Commentary Accompanying the English Translation of John Von Neumann's 1929 Article on the Quantum Ergodic Theorem.
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.
Added to index2009-01-28
Total downloads22 ( #170,747 of 1,796,321 )
Recent downloads (6 months)8 ( #97,741 of 1,796,321 )
How can I increase my downloads?