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Rational Belief and Probability Kinematics

Published online by Cambridge University Press:  01 April 2022

Bas C. van Fraassen
Bas C. van Fraassen*
Affiliation:
University of Toronto and University of Southern California
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Abstract

A general form is proposed for epistemological theories, the relevant factors being: the family of epistemic judgments, the epistemic state, the epistemic commitment (governing change of state), and the family of possible epistemic inputs (deliverances of experience). First a simple theory is examined in which the states are probability functions, and the subject of probability kinematics introduced by Richard Jeffrey is explored. Then a second theory is examined in which the state has as constituents a body of information (rational corpus) and a recipe that determines the accepted epistemic judgments on the basis of this corpus. Through an examination of several approaches to the statistical syllogism, a relation is again established with Jeffrey's generalized conditionalization.

Type
Research Article
Information
Philosophy of Science , Volume 47 , Issue 2 , June 1980 , pp. 165 - 187
Copyright
Copyright © Philosophy of Science Association 1980

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Footnotes

†

Research for this paper was supported by NSF grant SOC78-08464. I also acknowledge gratefully correspondence and discussions with Dorling, Giere, Harper, Jeffrey, Kyburg, Levi, Lewis, Salmon, Seidenfeld, Williams, and Zanotti, and the helpful comments made by Domotor on the penultimate draft. Since the correct representation of the views of some authors turned out to be a delicate matter, I emphasize that even when I associate ideas with their names, the connection was suggestive, and I am solely responsible for the shortcomings.

References

Domotor, Z., Zanotti, M. and Graves, H. (1979), “Probability Kinematics,” (forthcoming) Philosophy of Science 47.CrossRefGoogle Scholar
Field, H. (1978), “A Note on Jeffrey Conditionalization,” Philosophy of Science 45: 361–367.CrossRefGoogle Scholar
Giere, R. (1975), “The Epistemological Roots of Scientific Knowledge,” in Minnesota Studies in the Philosophy of Science VI.Google Scholar
Hacking, I. (1967), “Slightly More Realistic Personal Probability,” Philosophy of Science 34: 311–325.CrossRefGoogle Scholar
Harman, G. (1965), “The Inference to the Best Explanation,” Philosophical Review 74: 88–95.CrossRefGoogle Scholar
Harper, W. (1977), “Rational Conceptual Change,” in F. Suppe and P. Asquith (eds.) PSA 1976, volume II.CrossRefGoogle Scholar
Hobson, A. (1971), Concepts in Statistical Mechanics. New York: Gordon and Breach.Google Scholar
Jamison, B. (1974), “A Martin Boundary Interpretation of the Maximum Entropy Argument” Z. Wahrscheinlichkeitstheorie verw. Gebiete 30: 265–272.CrossRefGoogle Scholar
Jeffrey, R. (1965), The Logic of Decision. New York: McGraw Hill.Google Scholar
Kyburg, H. (1974), The Logical Foundations of Statistical Inference. Dordrecht: Reidel.CrossRefGoogle Scholar
Kyburg, H. (1977), “Randomness and the Right Reference Class,” Journal of Philosophy 74: 501–521.CrossRefGoogle Scholar
Levi, I. (1967), “Probability Kinematics,” British Journal for Philosophy of Science 18: 197–209.CrossRefGoogle Scholar
Levi, I. (1974), “On Indeterminate Probabilities,” Journal of Philosophy 71: 391–418.CrossRefGoogle Scholar
Levi, I. (1977), “Direct Inference,” Journal of Philosophy 74: 5–29.CrossRefGoogle Scholar
Lewis, D. (1978), “A Subjectivist's Guide to Objective Chance,” circulated ms.Google Scholar
May, S. and Harper, W. (1976), “Toward an Optimization Procedure for applying Minimum Change Principles in Probability Kinematics,” in W. L. Harper and C. A. Hooker (eds.) Foundations of Probability Theory, Statistical Inference and Statistical Theories of Science, Volume I. Dordrecht: Reidel.Google Scholar
Salmon, W. (1977), “Objectively Homogeneous Reference Classes” Synthese 36: 339–414. (A revision to be found in a forthcoming book.)CrossRefGoogle Scholar
van Fraassen, B. (1979), “Foundations of Probability Theory: A Modal Frequency Interpretation,” in G. Toraldo di Francia (ed.) Problems in the Foundations of Physics. Amsterdam: North-Holland.Google Scholar
van Fraassen, B. (1980), “A Temporal Framework for Conditionals and Chance,” Philosophical Review 89: 91–108.CrossRefGoogle Scholar
Williams, P. M. (1978), “Bayesian Conditionalization and the Principle of Minimum Information,” presented British Society for Philosophy of Science', forthcoming.Google Scholar