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.**I. Hacking,*The emergence of probability*, Cambridge Univ, Press, London and New York, 1975. MR**467864****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. Dempster,*Upper and lower probabilities induced by a multivalued mapping*, Ann. Math. Statist. 38 (1967), 325-339. MR 34 #6817. MR**207001****4.**G. Shafer,*A theory of statistical evidence*, Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science (W. Harper and C. Hooker, Editors), Reidel, Dordrecht, Holland (to appear). MR**501226****5.**T. Fine,*Theories of probability*, Academic Press, New York, 1973, pp. 90-94. MR**433529****6.**A. Kolmogorov,*Foundations of the theory of probability*, 2nd ed., English transl., Chelsea, New York, 1956, p. 9. MR 18, 155. MR**79843****7.**R. Carnap,*Logical foundations of probability*, 2nd ed., Univ. of Chicago Press, Chicago, 1962. MR 32 #2310. MR**184839****8.**I. J. Good,*Probability and the weighing of evidence*, Griffin, London, Hafner, New York, 1950. MR 12, 837. MR**41366****9.**I. J. Good,*The probabilistic explication of information, evidence, surprise, causality, explanation, and utility*, Foundations of Statistical Inference (V. Godambe and D. Sprott, Editors), Holt, Rinehart, and Winston, Toronto, Canada, 1971, pp. 108-141. MR 51 #9280. MR**400318****10.**H. Kyburg, Jr.,*Logical foundations of statistical inference*, Reidel, Dordrecht, Holland, 1974. MR**533283**

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