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It All Adds Up: The Dynamic Coherence of Radical Probabilism

Published online by Cambridge University Press:  01 January 2022

S. L. Zabell*
Affiliation:
Northwestern University
*
Send requests for reprints to the author, Departments of Mathematics and Statistics, 2033 Sheridan Rd., Northwestern University, Evanston, IL 60208; [email protected].

Abstract

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Type
Research Article
Copyright
Copyright © The Philosophy of Science Association

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References

Billingsley, Patrick (1995), Probability and Measure, 3rd ed. New York: John Wiley and Sons.Google Scholar
de Finetti, Bruno (1930), “Sulla proprietà coglomerativa delle probabilità subordinate,” Rend. R. Inst. Lombardo Milano 63:414418.Google Scholar
de Finetti, Bruno (1972), Probability, Induction, and Statistics. New York: John Wiley and Sons.Google Scholar
Dubins, Lester E. (1975), “Finitely Additive Conditional Probablities, Conglomerability and Disintegrations,” The Annals of Probability 3:8999.CrossRefGoogle Scholar
Dubins, Lester E., and Savage, Leonard J. (1965), How to Gamble If You Must: Inequalities for Stochastic Processes. New York: McGraw-Hill. (Second edition, Dover Press, New York, 1976.)Google Scholar
Durrett, Richard (1996), Probability: Theory and Examples, 2nd ed. Belmont, Calif.: Duxbury Press.Google Scholar
Freedman, David A., and Purves, Roger A. (1969), “Bayes' Method for Bookies,” The Annals of Mathematical Statistics 40:11771186.CrossRefGoogle Scholar
Heath, David C., and Sudderth, William D. (1972), “On a Theorem of de Finetti, Oddsmaking, and Game Theory,” The Annals of Mathematical Statistics 43:20722077.CrossRefGoogle Scholar
Heath, David C., and Sudderth, William D. (1978), “On Finitely Additive Priors, Coherence, and Extended Admissibility,” The Annals of Statistics 6:333345.CrossRefGoogle Scholar
Kadane, Joseph B., Schervish, Mark J., and Seidenfeld, Teddy (1996), “Reasoning to a Foregone Conclusion,” Journal of the American Statistical Association 91:12281236. (Paper reprinted in Kadane, Schervish, and Seidenfeld 1999, Section 3.7.)CrossRefGoogle Scholar
Kadane, Joseph B., Schervish, Mark J., and Seidenfeld, Teddy (1999), Rethinking the Foundations of Statistics. Cambridge University Press.CrossRefGoogle Scholar
Lane, David A., and Sudderth, William D. (1984), “Coherent Predictive Inference,” Sankhyā 46, Series A: 166185.Google Scholar
Lane, David A., and Sudderth, William D. (1985), “Coherent Predictions Are Strategic,” The Annals of Statistics 13:12441248.CrossRefGoogle Scholar
Purves, Roger A., and Sudderth, William D. (1976), “Some Finitely Additive Probability,” The Annals of Probability 4:259276.CrossRefGoogle Scholar
Purves, Roger A., and Sudderth, William D. (1983), “Finitely Additive Zero-one Laws,” Sankhyā 45, Series A: 3237.Google Scholar
Schervish, Mark J., Teddy, Seidenfeld, and Kadane, Joseph B. (1984), “The Extent of Nonconglomerability of Finitely Additive Measures,” Zeitschrift fur Wahrscheinlichkeitstheorie und verwandte Gebiete 66:205226.CrossRefGoogle Scholar
Skyrms, Brian (1984), Pragmatics and Empiricism. Yale University Press.Google Scholar
Skyrms, Brian (1987), “Dynamic Coherence and Probability Kinematics,” Philosophy of Science 54:120.CrossRefGoogle Scholar
Skyrms, Brian (1990), The Dynamics of Rational Deliberation. Harvard University Press.Google Scholar
Skyrms, Brian (1993), “Discussion: A Mistake in Dynamic Coherence Arguments,” Philosophy of Science 60:320328.CrossRefGoogle Scholar
Skyrms, Brian (1997), “The Structure of Radical Probabilism,” Erkenntnis 45:285297.Google Scholar
Sudderth, William D. (1994), “Coherent Inference and Prediction in Statistics,” in D. Prawitz, B. Skryms, and D. Westerst;arahl (eds.), Logic, Methodology and Philosophy of Science IX Elsevier. The Annals of Probability 4:259276.Google Scholar