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The Non-Reducibility of Koopman's Theorems of Probability in Carnap's System for Mc

Published online by Cambridge University Press:  14 March 2022

Robert M. Jones*
Affiliation:
***

Abstract

Carnap gives a definition for a comparative concept of confirmation. For it he uses the notation “MC(h, e, h′, e′).” His defined notation is intended to be an explicatum for the explicandum: “the hypothesis h is confirmed by the evidence e equally strongly or more strongly than h′ by e′” ([1], p. 428).

Type
Discussion
Copyright
Copyright © 1965 by The Philosophy of Science Association

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References

[1] Carnap, Rudolf, Logical Fundations of Probability, University of Chicago Press, 1st ed. 1950, 2nd ed. 1962.Google Scholar
[2] Carnap, Rudolf, “On the Comparative Concept of Confirmation,” The British Journal for the Philosophy of Science, 111, 1953, pp. 311318.10.1093/bjps/III.12.311CrossRefGoogle Scholar
[3] Koopman, B. O., “The Axioms and Algebra of Intuitive Probability,” Annals of Mathematics, V. 41, No. 2, pp. 269292.10.2307/1969003CrossRefGoogle Scholar