Abstract
Rudolf Carnap (1962) distinguished between probability1, which concerns rational degrees of belief, and probability2, which concerns statistical regularities. Although he claimed that both notions of probability were crucial to scientific inference, he practically ignored probability2 in the development of his systems of inductive logic. By contrast, evidential probability, developed by Henry Kyburg (1961) and later by Kyburg and Choh Man Teng (2001), is a theory that gives primacy to probability2, and Kyburg’s philosophical program was an uncompromising approach to see how far he could go with relative frequencies.
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References
Andréka, H., van Benthem, J., and Németi, I. (1998). Modal languages and bounded fragments of predicate logic. Journal of Philosophical Logic, 27:217–274.
Arló-Costa, H. and Parikh, R. (2005). Conditional probability and defeasible inference. Journal of Philosophical Logic, 34:97–119.
Carnap, R. (1968). On rules of acceptance. In Lakatos, I., editor, The Problem of Inductive Logic, pages 146–150. North-Holland Co., Amsterdam, The Netherlands.
de Finetti, B. (1974). Theory of Probability: A Critical Introductory Treatment. Wiley, New York, NY.
Dubbins, L. E. (1975). Finitely additive conditional probability, conglomerability, and disintegrations. Annals of Probability, 3:89–99.
Dubois, D. and Prade, H. (1980). Fuzzy Sets and Systems: Theory and Applications. Kluwer, North Holland.
Harper, W. L. (1981). Kyburg on direct inference. In Bogdan, R., editor, Profile of Kyburg and Levi, pages 97–127. Dordrecht, Reidel.
Hawthorne, J. and Makinson, D. C. (2007). The quantitative/qualitative watershed for rules of uncertain inference. Studia Logica, 86:247–297.
Jeffrey, R. (1956). Valuation and acceptance of scientific hypotheses. Philosophy of Science, 23(3):237–246.
Kraus, S., Lehman, D., and Magidor, M. (1990a). Nonmonotonic reasoning, preferential models and cumulative logics. Artificial Intelligence, 44:167–207.
Kyburg, Jr., H. E. (1961). Probability and the Logic of Rational Belief. Wesleyan University Press, Middletown, CT.
Kyburg, Jr., H. E. (1974). The Logical Foundations of Statistical Inference. D. Reidel, Dordrecht.
Kyburg, Jr., H. E. (2003). Are there degrees of belief? Journal of Applied Logic, 1:139–149.
Kyburg, Jr., H. E. (2007). Bayesian inference with evidential probability. In Harper, W. and Wheeler, G., editors, Probability and Inference: Essays in Honor of Henry E. Kyburg, Jr., pages 281–296. College Publications, London.
Kyburg, Jr., H. E. and Teng, C. M. (2001). Uncertain Inference. Cambridge University Press, Cambridge, MA.
Kyburg, Jr., H. E., Teng, C. M., and Wheeler, G. (2007). Conditionals and consequences. Journal of Applied Logic, 5(4):638–650.
Levi, I. (1977). Direct inference. Journal of Philosophy, 74:5–29.
Levi, I. (2007). Probability logic and logical probability. In Harper, W. L. and Wheeler, G., editors, Probability and Inference: Essays In Honor of Henry E. Kyburg, Jr., pages 255–266. College Publications, London.
Marklund, S., Lijas, J., Rodriguez-Martinez, H., Rönnstrand, L., Funa, K., Moller, M., Lange, D., Edfors-Lilja, I., and Andersson, L. (1998). Molecular basis for the dominant white phenotype in the domestic pig. Genome Research, 8:826–833.
Paris, J. and Simmonds, R. (2009). O is not enough. The Review of Symbolic Logic, 2:298–309.
Pawlak, Z. (1991). Rough Sets: Theoretical Aspects of Reasoning about Data. Kluwer, Dordrecht.
Reichenbach, H. (1949). The Theory of Probability. University of California Press, Berkeley, CA.
Seidenfeld, T. (2007). Forbidden fruit: When Epistemic Probability may not take a bite of the Bayesian apple. In Harper, W. and Wheeler, G., editors, Probability and Inference: Essays in Honor of Henry E. Kyburg, Jr., pages 267–279. College Publications, London.
Teng, C. M. (2007). Conflict and consistency. In Harper, W. L. and Wheeler, G., editors, Probability and Inference: Essays in Honor of Henry E. Kyburg, Jr., pages 53–66. College Publications, London.
Walley, P. (1991). Statistical Reasoning with Imprecise Probabilities. Chapman and Hall, London.
Wheeler, G. (2007). Two puzzles concerning measures of uncertainty and the positive Boolean connectives. In Neves, J., Santos, M., and Machado, J., editors, The Proceedings of the 13th Portuguese Conference on Artificial Intelligence (EPIA 2007), LNAI, pages 170–180, Springer Berlin.
Wiseman, J. (1986). A History of the British Pig. Ebenezer Baylis & Sons, Worcester.
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Haenni, R., Romeijn, JW., Wheeler, G., Williamson, J. (2011). Evidential Probability. In: Probabilistic Logics and Probabilistic Networks. Synthese Library, vol 350. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0008-6_4
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