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Discussion: On Harold Jeffreys' Axioms

Published online by Cambridge University Press:  01 April 2022

S. Noorbaloochi
S. Noorbaloochi*
Affiliation:
Statistics Department Ahwaz University Iran
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Abstract

It is argued that models of H. Jeffreys' axioms of probability (Jeffreys [1939] 1967) are not monotone even with I. J. Good's proposed modification (Good 1950). Hence the additivity axiom seems essential to a theory of probability as it is with Kolmogorov's system (Kolmogorov 1950).

Type
Discussion
Information
Philosophy of Science , Volume 55 , Issue 3 , September 1988 , pp. 448 - 452
Copyright
Copyright © 1988 by the Philosophy of Science Association

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References

REFERENCES

Good, I. J. (1950), Probability and the Weighing of Evidence. London: Charles Griffin and Company.Google Scholar
Jeffreys, H. ([1939] 1967), The Theory of Probability. Oxford: Clarendon Press.Google Scholar
Kempthorne, O. (1976), “Statistics and the Philosophers”, in W. L. Harper and C. A. Hooker (eds.), Foundations of Probability Theory, volume 2. Dordrecht: D. Reidel, pp. 273–309.Google Scholar
Kolmogorov, A. N. (1950), Foundations of the Theory of Probability. New York: Chelsea.Google Scholar
Nagel, E. (1940), “Jeffreys' Theory of Probability”, Journal of Philosophy 37, pp. 525–528.10.2307/2017943CrossRefGoogle Scholar
Popper, K. (1968), The Logic of Scientific Discovery. New York: Basic Books.Google Scholar
Savage, L. J. (1972), The Foundations of Statistics. New York: Dover.Google Scholar