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Some Remarks on Coherence and Subjective Probability

Published online by Cambridge University Press:  14 March 2022

John M. Vickers*
Affiliation:
Brandeis University

Abstract

The interpretation of the calculus of probability as a logic of partial belief has at least two advantages: it makes the assignment of probabilities plausible in cases where classical frequentist interpretations must find such assignments meaningless, and it gives a clear meaning to partial belief and to consistency of partial belief.

Type
Research Article
Copyright
Copyright © Philosophy of Science Association 1965

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References

[1] De Finetti, Bruno, “La Prévision: ses lois logiques, ses sources subjectives,” Annales de l'Institut Henri Poincaré, 7, (1937) 168.Google Scholar
[2] Edwards, Ward, with Lindman, Harold and Savage, Leonard J., “Bayesian Statistical Inference for Psychological Research” to appear in Psychological Review.Google Scholar
[3] Kemeny, John G., “Fair Bets and Inductive Probabilities,” Journal of Symbolic Logic, 20 (1955), 263273.10.2307/2268222CrossRefGoogle Scholar
[4] Kolomogorov, A. N., Foundations of the Theory of Probability, Chelsea Publishing Company, New York, 1950.Google Scholar
[5] Kyburg, Henry E. Jr., Translation of De Finetti in Studies in Subjective Probability, Kyburg and H. Smokier, Editors, New York, 1963. (I have made use of this translation, page references are to the original.)Google Scholar
[6] Ramsey, Frank Plumpton, “Truth and Probability,” found in Foundations of Mathematics and Other Essays, Routledge and Kegan-Paul, London, 1931.Google Scholar
[7] Savage, Leonard, Foundations of Probability, John Wiley and Sons, 1954.Google Scholar
[8] Scott, Dana, and Suppes, Patrick, “Foundational Aspects of Theories of Measurement,” Journal of Symbolic Logic, 23, (1958), 113128.CrossRefGoogle Scholar
[9] Shimony, Abner, “Coherence and the Axioms of Confirmation,” Journal of Symbolic Logic, 20, (1958), 128.CrossRefGoogle Scholar
[10] Suppes, Patrick, and Winet, Muriel, “An Axiomatization of Utility Based on the Notion of Utility Differences,” Management Science, 1, 3, and 4, 259-270.Google Scholar