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Probability logic

Published online by Cambridge University Press:  12 March 2014

John P. Burgess
John P. Burgess*
Affiliation:
Princeton University
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Extract

In this paper we introduce a system S5U, formed by adding to the modal system S5 a new connective U, Up being read “probably”. A few theorems are derived in S5U, and the system is provided with a decision procedure. Several decidable extensions of S5U are discussed, and probability logic is related to plurality quantification.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 34 , Issue 2 , 25 July 1969 , pp. 264 - 274
Copyright
Copyright © Association for Symbolic Logic 1969

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References

[1] Feys, R., Modal logics, E. Nauwelaerts, Louvain, 1965.Google Scholar
[2] Hamblin, C. L., The modal “probably”, Mind, vol. 68 (1959), pp. 234–240.Google Scholar
[3] Prior, A. N., Formal logic, Oxford University Press, London, 1955.Google Scholar
[4] Quine, W. V., Methods of logic, Holt, New York, 1964.Google Scholar
[5] Rescher, N., Plurality quantification, this Journal , vol. 27 (1962), pp. 373–374.Google Scholar