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What is Wrong with Strict Bayesianism?

Published online by Cambridge University Press:  31 January 2023

Patrick Maher*
Affiliation:
University of Illinois at Urbana-Champaign
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Bayesian decision theory in its classical formulation supposes that for any rational agent and for any possible state x of the world, there is a number P(x). which represents the agent’s judgment of the probability of x. Similarly, the theory assumes that for any possible outcome y of the agent’s actions, there is a number u(y) which represents the utility or value of y to the agent. Given these assumptions, the theory is able to define the expected value for the agent of any act. Bayesian decision theory then recommends that the agent should choose, from amongst the available acts, one which has maximal expected utility.

The assumption that an agent has a determinate personal probability function has often been attacked.

Type
Part VII. Probability And Causality
Copyright
Copyright © Philosophy of Science Association 1986

References

Achinstein, P. and Hannaway, O. (eds.). (1985). Observation, Experiment, and Hypothesis in Modern Physical Science. Cambridge, MA: MIT Press.Google Scholar
Churchland, P.M. and Hooker, C.A (eds.). (1985). Images of Science. Chicago: University of Chicago Press.Google Scholar
Good, I.J. (1952). “Rational Decisions.” Journal of the Royal Statistical Society B 14: 107114. (As reprinted in Good (1983). Pages 3-14.)Google Scholar
Good, I.J. (1962). “Subjective probability as the measure of a nonmeasurable set.” In Logic, Methodology, and Philosophy of Science. Edited by E. Nagel et al. Stanford: Stanford University Press. Pages 319-329. (As reprinted in Good (1983). Pages 73-82.)Google Scholar
Good, I.J. (1976). “The Bayesian influence , or how to sweep subjectivism under the carpet.” In Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science , Volume 2. Edited by C.A. Hooker and W. Harper. Dordrecht: Reidel. Pages 125174. (As reprinted in Good (1983). Pages 25-55.)CrossRefGoogle Scholar
Good, I.J. (1983). Good Thinking. Minneapolis: University of Minnesota Press.Google Scholar
Harman, G. (1980). “Reasoning and Explanatory Coherence.” American Philosophical Quarterly 17: 151157.Google Scholar
Jeffrey, R.C. (1985). “Probability and the Art of Judgment.” In Achinstein and Hannaway (1985). Pages 95-126.Google Scholar
Levi, I. (1974). “On Indeterminate Probabilities“. Journal of Philosophy 71: 391418.CrossRefGoogle Scholar
Levi, I. (1980). The Enterprise of Knowledge. Cambridge, MA: MIT Press.Google Scholar
Skyrms, B. (1984). Pragmatics and Empiricism. New Haven: Yale University Press.Google Scholar
van Fraassen, B.C. (1985). “Empiricism in the Philosophy of Science.” In Churchland and Hooker (1985). Pages 245308.Google Scholar