Probability logic in the twentieth century
History and Philosophy of Logic 12 (1):71-110 (1991)
| Abstract | 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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Herman Dishkant (1980). Three Prepositional Calculi of Probability. Studia Logica 39 (1):49 - 61.
Niki Pfeifer & G. D. Kleiter (2006). Inference in Conditional Probability Logic. Kybernetika 42 (2):391--404.
Adrian Rice (2003). 'Everybody Makes Errors': The Intersection of De Morgan's Logic and Probability, 1837 – 1847. History and Philosophy of Logic 24 (4):289-305.
Theodore Hailperin (1988). The Development of Probability Logic From Leibniz to Maccoll. History and Philosophy of Logic 9 (2):131-191.
Patrick Maher (2006). A Conception of Inductive Logic. Philosophy of Science 73 (5):513-523.
Theodore Hailperin (2000). Probability Semantics for Quantifier Logic. Journal of Philosophical Logic 29 (2):207-239.
Niki Pfeifer & G. D. Kleiter (2010). The Conditional in Mental Probability Logic. In M. Oaksford & N. Chater (eds.), Cognition and Conditionals: Probability and Logic in Human Thought. Oxford University Press.
John M. Vickers (1988). Chance and Structure: An Essay on the Logical Foundations of Probability. Oxford University Press.
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