Bayesian Propositional Logic

Bulletin of the Section of Logic 46 (3/4) (2017)
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Abstract

We define and investigate from a logical point of view a family of consequence relations defined in probabilistic terms. We call them relations of supporting, and write: |≈w where w is a probability function on a Boolean language. A |≈w B iff the fact that A is the case does not decrease a probability of being B the case. Finally, we examine the intersection of |≈w, for all w, and give some formal properties of it.

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Mateusz Klonowski
Nicolaus Copernicus University

Citations of this work

The hypothetico-probabilistic (HP-) method as a concretization of the HD-method.T. Kuipers - 2007 - In Sami Pihlström, Panu Raatikainen & Matti Sintonen (eds.), Approaching Truth: Essays in Honour of Ilkka Niiniluoto. College Publications. pp. 179--207.
Logic of Simpson paradox.Jacek Malinowski - 2005 - Logic and Logical Philosophy 14 (2):203-210.

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