Book Review

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Book Information:

Author: Glenn Shafer

Title: A mathematical theory of evidence

Additional book information: Princeton Univ. Press, Princeton, New Jersey, 1976, xiii + 297 pp., $17.50 (cloth) and $8.95 (paper).

**1.**Ian Hacking,*The emergence of probability*, Cambridge University Press, London-New York, 1975. A philosophical study of early ideas about probability, induction and statistical inference. MR**0467864****2.**J. Bernoulli,*Ars conjectandi, Pars quarta*(1713); English transl, by Bing Sung, Tech. Report 12, February 1966, Dept. of Statistics, Harvard Univ., Cambridge, Mass.**3.**A. P. Dempster,*Upper and lower probabilities induced by a multivalued mapping*, Ann. Math. Statist.**38**(1967), 325–339. MR**0207001**, https://doi.org/10.1214/aoms/1177698950**4.**Glenn Shafer,*A theory of statistical evidence*, Foundations of probability theory, statistical inference, and statistical theories of science (Proc. Internat. Res. Colloq., Univ. Western Ontario, London, Ont., 1973) Reidel, Dordrecht, 1976, pp. 365–436. Univ. Western Ontario Ser. Philos. Sci., Vol. 6. With a discussion by the author, I. J. Good and D. V. Lindley. MR**0501226****5.**Terrence L. Fine,*Theories of probability: an examination of foundations*, Academic Press, New York-London, 1973. MR**0433529****6.**A. N. Kolmogorov,*Foundations of the theory of probability*, Chelsea Publishing Co., New York, 1956. Translation edited by Nathan Morrison, with an added bibliography by A. T. Bharucha-Reid. MR**0079843****7.**Rudolf Carnap,*Logical foundations of probability*, Second edition, The University of Chicago Press, Chicago, Ill., 1962. MR**0184839****8.**I. J. Good,*Probability and the Weighing of Evidence*, Charles Griffin & Co., Ltd., London; Hafner Publishing Co., New York, N. Y., 1950. MR**0041366****9.**I. J. Good,*The probabilistic explication of information, evidence, surprise, causality, explanation, and utility*, Foundations of statistical inference (Proc. Sympos., Univ. Waterloo, Waterloo, Ont., 1970) Holt, Rinehart and Winston of Canada, Toronto, Ont., 1971, pp. 108–141. With comments by G. A. Barnard, I. D. J. Bross, V. P. Godambe and H. E. Kyburg and a reply by the author. MR**0400318****10.**Henry E. Kyburg Jr.,*The logical foundations of statistical inference*, D. Reidel Publishing Co., Dordrecht-Boston, Mass., 1974. Synthese Library, Vol. 65. MR**0533283**

Review Information:

Reviewer: Terrence L. Fine

Journal: Bull. Amer. Math. Soc.

**83**(1977), 667-672

DOI: https://doi.org/10.1090/S0002-9904-1977-14338-3