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Representation of symmetric probability models

Published online by Cambridge University Press:  12 March 2014

Peter H. Krauss
Peter H. Krauss*
Affiliation:
University of California, Berkeley Morehouse College
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Extract

This paper is a sequel to the joint publication of Scott and Krauss [8] in which the first aspects of a mathematical theory are developed which might be called “First Order Probability Logic”. No attempt will be made to present this additional material in a self-contained form. We will use the same notation and terminology as introduced and explained in Scott and Krauss [8], and we will frequently refer to the theorems stated and proved in the preceding paper.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 34 , Issue 2 , 25 July 1969 , pp. 183 - 193
Copyright
Copyright © Association for Symbolic Logic 1969

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Footnotes

1

This paper is a part of the author's doctoral dissertation submitted in September 1966 to the University of California at Berkeley. The author is indebted to Professor Dana Scott of Stanford University under whose auspices this work was done.

References

[1] Carnap, R., Logical foundations of probability, University of Chicago Press, Chicago, Ill., 1950.Google Scholar
[2] Carnap, R., An axiom system of Inductive logic (to appear).Google Scholar
[3] Dunford, N. and Schwartz, J. T., Linear operators. I, New York, 1958.Google Scholar
[4] De, B. Finetti, La prévision: ses lois logiques, ses sources subjectives, Annales de l'Institut Henri Poincaré, vol. 7 (1937), pp. 1–68.Google Scholar
[5] Gaifman, H. and Kemeny, L., The requirements of instantial relevance (to appear).Google Scholar
[6] Halmos, P. R., Lectures on Boolean algebras, Van Nostrana, Princeton, N.J., 1963.Google Scholar
[7] Hewitt, E. and Savage, L., Symmetric measures on Cartesian products, Transactions of the American Mathematical Society, vol. 80 (1955), pp. 470–501.Google Scholar
[8] Scott, D. and Krauss, P., Assigning probabilities to logical formulas, Aspects of inductive logic, edited by Hintikka, J. and Suppes, P., North Holland, Amsterdam, 1966, pp. 219–259.Google Scholar