Objective Bayesianism defended?
- Darrell P. Rowbottom
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Objective Bayesianism is the view that an agent’s degrees of belief should satisfy three constraints in order to be rational. First, they should satisfy the probability calculus. Second, they should be sensitive to the agent’s evidence (e.g., of physical chances, frequencies or correlations). Third, and finally, they should otherwise be maximally non-committal (or ‘equivocate between basic outcomes’ (iii)). Williamson calls these the probability, calibration and equivocation norms.
To illustrate, imagine that an agent knows (or believes) of a die only that it is a regular tetrahedron, with sides labelled ‘i’, ‘ii’, ‘iii’ and ‘iv’.
Such ‘knows only’ (or ‘believes only’) scenarios, common in the literature on decision theory, are more troublesome than they first appear. It is difficult to specify what precisely we are to assume that the agent knows (or believes) in any given case. (Here, for example, I want you to assume that the agent isn’t familiar with rolls of similar objects, e.g., ot
- Bertrand, J. 1889. Calcul des probabilités. New York: Chelsea (3rd edn., c.1960).
- Eriksson, L., and A. Hájek. 2007. What are degrees of belief? Studia Logica 86: 183–213. CrossRef
- Hájek, A. 2005. Scotching Dutch books. Philosophical Perspectives 19: 139–151. CrossRef
- Jaynes, E.T. 1957. Information theory and statistical mechanics. Physical Review 106: 620–630. CrossRef
- Jaynes, E.T. 1973. The well posed problem. Foundations of Physics 4: 477–492. CrossRef
- Keynes, J.M. 1921. A treatise on probability. London: Macmillan.
- Rowbottom, D.P. 2007a. The insufficiency of the Dutch book argument. Studia Logica 87: 65–71. CrossRef
- Rowbottom, D.P. 2007b. In-between believing and degrees of belief. Teorema 26: 131–137.
- Rowbottom, D.P. 2008. On the proximity of the logical and ‘objective Bayesian’ interpretations of probability. Erkenntnis 69: 335–349. CrossRef
- Schervish, M.J., T. Seidenfeld, and J.B. Kadane. 2009. Proper scoring rules, dominated forecasts, and coherence. Decision Analysis 6: 202–221. CrossRef
- Schwitzgebel, E. 2001. In-between believing. Philosophical Quarterly 51: 76–82. CrossRef
- Seidenfeld, T., Schervish, M. J., and Kadane, J. B. 1990. When fair betting odds are not degrees of belief, PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association, pp. 517–524.
- Shackel, N. 2007. Bertrand’s paradox and the principle of indifference. Philosophy of Science 74: 150–175. CrossRef
- Williamson, J.O.D. 2005. Bayesian nets and causality: Philosophical and computational foundations. Oxford: Oxford University Press.
- Objective Bayesianism defended?
Volume 21, Issue 1 , pp 193-196
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- 1. Faculty of Philosophy, University of Oxford, 10 Merton Street, Oxford, OX1 4JJ, UK