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Calibration

  • Paul Weirich
Conference paper
Part of the The European Philosophy of Science Association Proceedings book series (EPSP, volume 1)

Abstract

Bayesians typically take probabilities as rational degrees of belief. Some Bayesians define degrees of belief to ensure conformity with standard axioms of probability. According to a common definition, degrees of belief are the values of a function P obeying the axioms of probability such that, if gambles have the same stakes, an agent prefers a gamble that p to a gamble that q if and only if P(p) > P(q). Other Bayesians take degrees of belief to express propositional attitudes not defined in terms of preferences. According to their account, definition does not make degrees of belief obey the probability axioms. These Bayesians undertake to show, using normative principles, that rational degrees of belief nonetheless meet those axioms.

Keywords

Objective Probability Logical Truth Ideal Agent Epistemic Justification Doxastic Attitude 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Carnap, Rudolf. [1950] 1962. Logical foundations of probability, 2nd ed. Chicago: University of Chicago Press.Google Scholar
  2. Carnap, Rudolf. [1955] 1970. Statistical and inductive probability. In Readings in the philosophy of science, ed. Baruch Brody, 440–450. Englewood Cliffs, NJ: Prentice-Hall.Google Scholar
  3. Debreu, Gérard. 1960. Topological methods in cardinal utility theory. In Mathematical methods in the social sciences, 1959, eds. Kenneth Arrow, Samuel Karlin, and Patrick Suppes, 16–26. Stanford, CA: Stanford University Press.Google Scholar
  4. Elga, Adam. 2010. Subjective probabilities should be sharp. Philosophers’ Imprints 10(5): 1–11. http://www.philosophersimprint.org/010005/
  5. Goodman, Nelson. [1955] 1965. Fact, fiction, and forecast, 2nd ed. Indianapolis: Bobbs-Merrill.Google Scholar
  6. Hawthorne, James. 2009. The Lockean thesis and the logic of belief. In Degrees of belief. Synthese library 342, eds. Franz Huber and Christophe Schmidt-Petri, 49–74. Dordrecht: Springer.Google Scholar
  7. Hempel, Carl. 1965. Aspects of scientific explanation. New York: Free Press.Google Scholar
  8. Hempel, Carl. 1966. Philosophy of natural science. Englewood Cliffs, NJ: Prentice-Hall.Google Scholar
  9. Joyce, James. 2009. Accuracy and coherence: Prospects for an alethic epistemology of partial belief. In Degrees of belief. Synthese library 342, eds. Franz Huber and Christophe Schmidt-Petri, 263–300. Dordrecht: Springer.Google Scholar
  10. Keynes, John Maynard. 1921. A treatise on probability. London: Macmillan.Google Scholar
  11. Krantz, David, R. Duncan Luce, Patrick Suppes, and Amos Tversky. 1971. Foundations of measurement, Vol. 1. Additive and Polynomial Representations. New York: Academic.Google Scholar
  12. Maher, Patrick. 2006. The concept of inductive probability. Erkenntnis 65: 185–206.CrossRefGoogle Scholar
  13. Shimony, Abner. 1988. An Adamite derivation of the calculus of probability. In Probability and causality, ed. James H. Fetzer, 79–89. Dordrecht: D. Reidel.CrossRefGoogle Scholar
  14. Shogenji, Tomoji. 2009. The degree of epistemic justification and the conjunction fallacy. Synthese. DOI: 10.1007/s11229-009-9699-1.Google Scholar
  15. Williamson, Jon. 2010. In defence of objective Bayesianism. New York: Oxford University Press.Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Department of PhilosophyUniversity of MissouriColumbiaUSA

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