David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1982:137 - 144 (1982)
de Finetti's representation theorem of exchangeable probabilities as unique mixtures of Bernoullian probabilities is a special case of a result known as the ergodic decomposition theorem. It says that stationary probability measures are unique mixtures of ergodic measures. Stationarity implies convergence of relative frequencies, and ergodicity the uniqueness of limits. Ergodicity therefore captures exactly the idea of objective probability as a limit of relative frequency (up to a set of measure zero), without the unnecessary restriction to probabilistically independent events as in de Finetti's theorem. The ergodic decomposition has in some applications to dynamical systems a physical content, and de Finetti's reductionist interpretation of his result is not adequate in these cases.
|Keywords||No keywords specified (fix it)|
No categories specified
(categorize this paper)
|Through your library||Configure|
Similar books and articles
Jan von Plato (1982). The Significance of the Ergodic Decomposition of Stationary Measures for the Interpretation of Probability. Synthese 53 (3):419 - 432.
Jan Plato (1982). The Significance of the Ergodic Decomposition of Stationary Measures for the Interpretation of Probability. Synthese 53 (3):419-432.
Peter Milne (2004). Algebras of Intervals and a Logic of Conditional Assertions. Journal of Philosophical Logic 33 (5):497-548.
Jaakko Hintikka (1970). Unknown Probabilities, Bayesianism, and de Finetti's Representation Theorem. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1970:325 - 341.
Robert F. Nau (2001). De Finetti Was Right: Probability Does Not Exist. Theory and Decision 51 (2/4):89-124.
Jan von Plato (1989). De Finetti's Earliest Works on the Foundations of Probability. Erkenntnis 31 (2-3):263 - 282.
Persi Diaconis (1977). Finite Forms of de Finetti's Theorem on Exchangeability. Synthese 36 (2):271 - 281.
Paul Bartha (2004). Countable Additivity and the de Finetti Lottery. British Journal for the Philosophy of Science 55 (2):301-321.
Richard Bradley (1998). A Representation Theorem for a Decision Theory with Conditionals. Synthese 116 (2):187-229.
Patryk Dziurosz-Serafinowicz (2009). Subjective Probability and the Problem of Countable Additivity. Filozofia Nauki 1.
Richard Swinburne (2008). Bayes's Theorem. Gogoa 8 (1):138.
Richard Jeffrey (1996). Unknown Probabilities. Erkenntnis 45 (2-3):327 - 335.
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.
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.
Added to index2011-05-29
Total downloads5 ( #175,930 of 1,004,679 )
Recent downloads (6 months)1 ( #64,743 of 1,004,679 )
How can I increase my downloads?