Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-13T02:15:18.431Z Has data issue: false hasContentIssue false
  • English
  • Français

Postscript to Richard Jeffrey’s “Conditioning, Kinematics, and Exchangeability”

Published online by Cambridge University Press:  11 February 2022

Carl G. Wagner
Carl G. Wagner*
Affiliation:
Department of Mathematics, University of Tennessee, 1403 Circle Drive, Ayres Hall 227, Knoxville, TN, US
*
Email: cwagner@tennessee.edu
Get access Rights & Permissions [Opens in a new window]

Abstract

Richard Jeffrey’s “Conditioning, Kinematics, and Exchangeability” is one of the foundational documents of probability kinematics. However, the section entitled “Successive Updating” contains a subtle error regarding the applicability of updating by so-called relevance quotients in order to ensure the commutativity of successive probability kinematical revisions. Upon becoming aware of this error, Jeffrey formulated the appropriate remedy, but he never discussed the issue in print. To head off any confusion, it seems worthwhile to alert readers of Jeffrey’s “Conditioning, Kinematics, and Exchangeability” to the aforementioned error and to document his remedy, placing it in the context of both earlier and subsequent work on commuting probability kinematical revisions.1

Type
Discussion Note
Information
Philosophy of Science , Volume 89 , Issue 3 , July 2022 , pp. 631 - 643
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of the Philosophy of Science Association

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Diaconis, Persi, and Zabell, Sandy. 1982. “Updating Subjective Probability.” Journal of the American Statistical Association 77 (380):822–30.CrossRefGoogle Scholar
Field, Hartry. 1978. “A Note on Jeffrey Conditionalization.” Philosophy of Science 45 (3):361–67.CrossRefGoogle Scholar
Garber, Daniel. 1980. “Field and Jeffrey Conditionalization.” Philosophy of Science 47 (1):142–45.CrossRefGoogle Scholar
Good, Irving J. 1950. Probability and the Weighing of Evidence. London: Charles Griffin.Google Scholar
Good, Irving J. 1983. Good Thinking. Minneapolis: University of Minnesota Press.Google Scholar
Hawthorne, James. 2004. “Three Models of Sequential Belief Updating on Uncertain Evidence.” Journal of Philosophical Logic 33 (1):89–123.CrossRefGoogle Scholar
Jeffrey, Richard. 1975. “Carnap’s Empiricism.” In Minnesota Studies in the Philosophy of Science, vol. VI, edited by Maxwell, Grover and Robert, M. Jr, Anderson., 37–49. Minneapolis: University of Minnesota Press.Google Scholar
Jeffrey, Richard. 1983. The Logic of Decision. Chicago: University of Chicago Press.Google Scholar
Jeffrey, Richard. 1988. “Conditioning, Kinematics, and Exchangeability.” In Causation, Chance, and Credence, vol. 1, edited by Skyrms, B. and Harper, W., 221–55. Dordrecht: Reidel.CrossRefGoogle Scholar
Jeffrey, Richard. 1992. “Conditioning, Kinematics, and Exchangeability.” Probability and the Art of Judgment. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Jeffrey, Richard, and Hendrickson, Michael. 1988/1989. “Probabilizing Pathology.” Proceedings of the Aristotelian Society 89 (3):211–25.CrossRefGoogle Scholar
Lange, Marc. 2000. “Is Jeffrey Conditionalization Defective in Virtue of Being Non-Commutative? Remarks on the Sameness of Sensory Experience.” Synthese 123 (3):393–403.CrossRefGoogle Scholar
Wagner, Carl. 2002. “Probability Kinematics and Commutativity.” Philosophy of Science 69 (2):266–78.CrossRefGoogle Scholar