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Professor Carnap and Probability

Published online by Cambridge University Press:  14 March 2022

William H. Hay*
Affiliation:
The University of Wisconsin

Extract

Most handbooks on statistics and the theory of probability leave the reader in a mysterious tangle of mathematical rules for computing apparently arbitrarily chosen numerical functions. At first sight, then, a treatise on the Logical Foundations of Probability raises hopes that it will be a guide to clarity in these matters. These hopes are strengthened if the reader remembers that the author, Professor Rudolph Carnap of the University of Chicago, is noted for his thesis that philosophy is the study of the logic of science. On the other hand, a first glance into this book may discourage a reader who, though familiar with statistics, is not familiar with modern logic and its notation. For this reason particularly I shall try to give an account of this book that will enable the interested student to form some opinion of its usefulness to him.

Type
Research Article
Copyright
Copyright © Philosophy of Science Association 1952

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References

1. Bergmann, G.The Logic of Probability”, American Journal of Physics, IX (1941), pp. 263–72.Google Scholar
2. Bergmann, G., “Frequencies, Probabilities, and Positivism,” Philosophy and Phenomenological Research, VI (1946), pp. 2644.Google Scholar
3. Bergmann, G., “Some Comments on Carnap's Logic of Induction”, Philosophy of Science, XIII (1946), pp. 7178.10.1086/286882CrossRefGoogle Scholar
4. Bergmann, G.Semantics,” in A History of Philosophical Systems, ed. V. Ferm., New York, 1950, pp. 8592.Google Scholar
5. Bergmann, G.Logical Atomism, Elementarism, and Analysis of Value,” Philosophical Studies, vol. II (1951).Google Scholar
6. Burks, A. W., Review of Carnap (12), Journal of Philosophy, 1951, pp. 524533.CrossRefGoogle Scholar
7. Carnap, R., Logical Syntax of Language, London, 1937.Google Scholar
8. Carnap, R., Foundations of Logic and Mathematics, Chicago, 1939.Google Scholar
9. Carnap, R., Introduction to Semantics, Cambridge, Mass. 1942.Google Scholar
10. Carnap, R., “On Inductive Logic,” Philosophy of Science, XII (1945), pp. 7297.CrossRefGoogle Scholar
11. Carnap, R.The Two Concepts of Probability”, Philosophy and Phenomenological Research, V, (1945), pp. 513–32.Google Scholar
12. Carnap, R., Logical Foundations of Probability, Chicago, 1950.Google Scholar
13. Churchman, C. W., “Carnap's ‘On Inductive Logic,‘Philosophy of Science, XIII (1946) pp. 339–42.Google Scholar
14. Mises, R. von, Probability, Statistics, and Truth, English Translation, London, 1939.Google Scholar
15. Nagel, E., Principles of the Theory of Probability, Chicago, 1939.Google Scholar
16. Wright, G. H. von, Review of Carnap (12) in Philosophical Review, July 1951.Google Scholar