Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-23T00:17:24.800Z Has data issue: false hasContentIssue false

Probability Kinematics and Representation of Belief Change

Published online by Cambridge University Press:  01 April 2022

Zoltan Domotor*
Affiliation:
University of Pennsylvania

Abstract

Bayesian, Jeffrey and Field conditionals are compared and it is shown why the last two cannot be reduced to the first. Maximum relative entropy is used in two kinds of justification of the Field conditional and the dispensability of entropy principles in general is discussed.

Type
Research Article
Copyright
Copyright © 1980 by 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.)

Footnotes

This paper grew out of numerous discussions with Mario Zanotti since December 1978 and a talk I gave at the University of Western Ontario in the fall of 1979. I wish to thank Bill Harper, Roger Rosenkrantz and some anonymous referees for their extensive comments on earlier drafts of the manuscript.

References

Bourbaki, N. (1974), Algebra I. Paris: Hermann.Google Scholar
Domotor, Z., Zanotti, M. and Graves, H. (1979), “Probability Kinematics,” Forthcoming in Synthese.CrossRefGoogle Scholar
Field, H. (1978), “Note on Jeffrey Conditionalization,” Philosophy of Science 45: 361367.CrossRefGoogle Scholar
van Fraassen, B. (1979), “Rational Belief and Probability Kinematics,” Manuscript.Google Scholar
Jaynes, E. T. (1979), “Where do we Stand on Maximum Entropy,” In Maximum Entropy Formalism Conference: 15118. Edited by Levine, R. D. and Tribus, M. Cambridge: MIT Press.Google Scholar
Jeffrey, R. (1965), The Logic of Decision. New York: McGraw-Hill.Google Scholar
Martin-Löf, P. (1974), “Repetitive Structures and the Relation between Canonical and Microcanonical Distributions in Statistics and Statistical Mechanics,” Memoirs No. 1, Department of Theoretical Statistics, Aarhus University.Google Scholar
Preston, C. (1979), “Canonical and Microcanonical Gibbs States,” Zeitschrift für Wahrscheinlichkeitstheorie 46: 125158.CrossRefGoogle Scholar
Skyrms, B. (1979), “Higher Order Degrees of Belief,” Forthcoming in Prospects for Pragmatism—Essays in Honor of F. P. Ramsey. Edited by D. H. Mellor.Google Scholar
Williams, P. M. (1979), “Bayesian Conditionalization and the Principle of Minimum Information,” Mimeo, University of Sussex.Google Scholar