David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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History and Philosophy of Logic 12 (1):71-110 (1991)
This essay describes a variety of contributions which relate to the connection of probability with logic. Some are grand attempts at providing a logical foundation for probability and inductive inference. Others are concerned with probabilistic inference or, more generally, with the transmittance of probability through the structure (logical syntax) of language. In this latter context probability is considered as a semantic notion playing the same role as does truth value in conventional logic. At the conclusion of the essay two fully elaborated semantically based constructions of probability logic are presented
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References found in this work BETA
Ernest W. Adams & Howard P. Levine (1975). On the Uncertainties Transmitted From Premises to Conclusions in Deductive Inferences. Synthese 30 (3-4):429 - 460.
George Boole (1952/2004). Studies in Logic and Probability. Dover Publications.
R. Carnap & R. Jeffrey (eds.) (1971). Studies in Inductive Logic and Probability. University of California Press.
Rudolf Carnap (1962). Logical Foundations of Probability. Chicago]University of Chicago Press.
Theodore Hailperin (1984). Probability Logic. Notre Dame Journal of Formal Logic 25 (3):198-212.
Citations of this work BETA
David Makinson (2011). Conditional Probability in the Light of Qualitative Belief Change. Journal of Philosophical Logic 40 (2):121 - 153.
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