Objective Bayesianism, Bayesian conditionalisation and voluntarism
Objective Bayesianism has been criticised on the grounds that objective Bayesian updating, which on a finite outcome space appeals to the maximum entropy principle, differs from Bayesian conditionalisation. The main task of this paper is to show that this objection backfires: the difference between the two forms of updating reflects negatively on Bayesian conditionalisation rather than on objective Bayesian updating. The paper also reviews some existing criticisms and justifications of conditionalisation, arguing in particular that the diachronic Dutch book justification fails because diachronic Dutch book arguments are subject to a reductio: in certain circumstances one can Dutch book an agent however she changes her degrees of belief. One may also criticise objective Bayesianism on the grounds that its norms are not compulsory but voluntary, the result of a stance. It is argued that this second objection also misses the mark, since objective Bayesian norms are tied up in the very notion of degrees of belief.
KeywordsObjective Bayesianism Bayesian epistemology Formal epistemology Maximum entropy Maxent Conditionalisation
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- Bernoulli, J. (1713). Ars Conjectandi (E. D. Sylla, Trans., 2006). Baltimore: The Johns Hopkins University Press.Google Scholar
- Earman J. (1992) Bayes or bust?. MIT Press, Cambridge MAGoogle Scholar
- Foley R. (1993) Working without a net. Oxford University Press, New YorkGoogle Scholar
- Gillies D. (2000) Philosophical theories of probability. London and New York, RoutledgeGoogle Scholar
- Grove, A. J., & Halpern, J. Y. (1997). Probability update: Conditioning vs. cross-entropy. In Proceedings of the 13th annual conference on uncertainty in artificial intelligence (pp. 208–214). San Francisco, CA: Morgan Kaufmann.Google Scholar
- Howson C. (1997) Bayesian rules of updating. Erkenntnis 45: 195–208Google Scholar
- Howson C. (2000) Hume’s problem: Induction and the justification of belief. Clarendon Press, OxfordGoogle Scholar
- Keynes J.M. (1921/1948). A treatise on probability. London, MacmillanGoogle Scholar
- Ramsey, F. P. (1926). Truth and probability. In H. E. Kyburg & H. E. Smokler (Eds.), Studies in subjective probability (2nd ed., 1980, pp. 23–52). Huntington, New York: Robert E. Krieger Publishing Company.Google Scholar
- Rosenkrantz R.D. (1977) Inference, method and decision: Towards a Bayesian philosophy of science. Reidel, DordrechtGoogle Scholar
- Rowbottom, D. P., & Bueno, O. (2009). How to change it: modes of engagement, rationality, and stance voluntarism. Synthese. doi:10.1007/s11229-009-9521-0.
- Skyrms B. (1987) Coherence. In: Rescher N. (eds) Scientific inquiry in philosophical perspective. University Press of America, Lanham, Maryland, pp 225–242Google Scholar
- van Fraassen B.C. (1987) Symmetries of personal probability kinematics. In: Rescher N. (eds) Scientific inquiry in philosophical perspective. University Press of America, Lanham, Maryland, pp 183–223Google Scholar
- van Fraassen B.C. (2002) The empirical stance. Yale University Press, New HavenGoogle Scholar
- van Fraassen B., Hughes R., Harman G. (1986) A problem for relative information minimisers, continued. British Journal for the Philosophy of Science 37: 453–475Google Scholar
- Williamson J. (2005) Bayesian nets and causality: philosophical and computational foundations. Oxford University Press, OxfordGoogle Scholar
- Williamson J. (2007b) Motivating objective Bayesianism: From empirical constraints to objective probabilities. In: Harper W.L. (eds) Probability and inference: Essays in honour of Henry E. Kyburg Jr.. College Publications, London, pp 151–179Google Scholar
- Williamson J. (2008a) Objective Bayesian probabilistic logic. Journal of Algorithms in Cognition, Informatics and Logic 63: 167–183Google Scholar
- Williamson, J. (2008c). Philosophies of probability. In A. Irvine (Ed.), Handbook of the philosophy of mathematics. Handbook of the philosophy of science (Vol. 4). Amsterdam: Elsevier.Google Scholar