David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Erkenntnis 31 (2-3):365--86 (1989)
De Finetti was a strong proponent of allowing 0 credal probabilities to be assigned to serious possibilities. I have sought to show that (pace Shimony) strict coherence can be obeyed provided that its scope of applicability is restricted to partitions into states generated by finitely many ultimate payoffs. When countable additivity is obeyed, a restricted version of ISC can be applied to partitions generated by countably many ultimate payoffs. Once this is appreciated, perhaps the compelling character of the Shimony argument will be less overwhelming and the attractiveness of de Finetti's more permissive attitude will become more apparent.I want to push the permissive tendency in de Finetti still further. It seems doubtful that RUIWC should be required as de Finetti apparently suggested. It is also excessively dogmatic and restrictive to require that the credal states of ideally situated rational agents be numerically definite (Levi 1974, 1980). And de Finetti's rejection of objectivism in statistics overreached itself when he dismissed objective probabilities as meaningless metaphysical artefacts (Levi 1986). In this respect, the philosophically most important lessons de Finetti has to teach us are to be found not in his celebrated representation theorem but in his discussions of the relations between 0-probability and possibility, conditional probability and countable additivity. Perhaps, the technical issues involved are remote and pedantic. But the attitude de Finetti sought to inculcate is of profound importance
|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
Richard Jeffrey (1983). The Logic of Decision. University of Chicago Press.
Hartry Field (1977). Logic, Meaning, and Conceptual Role. Journal of Philosophy 74 (July):379-409.
Isaac Levi (1974). On Indeterminate Probabilities. Journal of Philosophy 71 (13):391-418.
Robert C. Stalnaker (1970). Probability and Conditionals. Philosophy of Science 37 (1):64-80.
Abner Shimony (1955). Coherence and the Axioms of Confirmation. Journal of Symbolic Logic 20 (1):1-28.
Citations of this work BETA
Joseph Berkovitz (forthcoming). The Propensity Interpretation of Probability: A Re-Evaluation. Erkenntnis:1-83.
Arthur Paul Pedersen (2014). Comparative Expectations. Studia Logica 102 (4):811-848.
Similar books and articles
Mark T. Nelson (2002). What Justification Could Not Be. International Journal of Philosophical Studies 10 (3):265 – 281.
John Meixner (1987). Frequencies and Possibility. Philosophy Research Archives 13:73-77.
Alan Hájek (2001). Probability, Logic, and Probability Logic. In Lou Goble (ed.), The Blackwell Guide to Philosophical Logic. Blackwell Publishers 362--384.
Jan Von Plato (1982). Probability and Determinism. Philosophy of Science 49 (1):51-66.
Richard Otte (1987). A Theistic Conception of Probability. Faith and Philosophy 4 (4):427-447.
Isaac Levi (1981). Direct Inference and Confirmational Conditionalization. Philosophy of Science 48 (4):532-552.
Stephen Yablo (2002). Coulda, Woulda, Shoulda. In Tamar S. Gendler & John Hawthorne (eds.), Conceivability and Possibility. Oxford University Press 441-492.
Wolfgang Spohn (2006). Isaac Levi's Potentially Surprising Epistemological Picture. In Erik J. Olsson (ed.), Knowledge and Inquiry: Essays on the Pragmatism of Isaac Levi. Cambridge University Press
Richard Jeffrey (1987). Indefinite Probability Judgment: A Reply to Levi. Philosophy of Science 54 (4):586-591.
Added to index2009-01-28
Total downloads23 ( #128,632 of 1,726,249 )
Recent downloads (6 months)6 ( #118,705 of 1,726,249 )
How can I increase my downloads?