Probability logic

Journal of Symbolic Logic 34 (2):264-274 (1969)
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Abstract

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.

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10.2307/2271103

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John Burgess
Princeton University

Citations of this work

The logic of qualitative probability.James P. Delgrande, Bryan Renne & Joshua Sack - 2019 - Artificial Intelligence 275 (C):457-486.
Logic and Probability.Lorenz Demey, Barteld Kooi & Joshua Sack - 2012 - In Ed Zalta, Stanford Encyclopedia of Philosophy. Stanford, CA: Stanford Encyclopedia of Philosophy.
Comparing strengths of beliefs explicitly.S. Ghosh & D. de Jongh - 2013 - Logic Journal of the IGPL 21 (3):488-514.

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References found in this work

Formal Logic.A. N. Prior - 1964 - Studia Logica 15:298-301.
Methods of Logic.R. M. Martin - 1951 - Philosophy and Phenomenological Research 11 (4):599-600.
Modal Logics.Robert Feys - 1965 - Studia Logica 22:170-173.
The modal "probably".C. L. Hamblin - 1959 - Mind 68 (270):234-240.

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