Conditional Probability in the Light of Qualitative Belief Change

Journal of Philosophical Logic 40 (2):121 - 153 (2011)
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Abstract

We explore ways in which purely qualitative belief change in the AGM tradition throws light on options in the treatment of conditional probability. First, by helping see why it can be useful to go beyond the ratio rule defining conditional from one-place probability. Second, by clarifying what is at stake in different ways of doing that. Third, by suggesting novel forms of conditional probability corresponding to familiar variants of qualitative belief change, and conversely. Likewise, we explain how recent work on the qualitative part of probabilistic inference leads to a very broad class of 'proto-probability' functions

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David Makinson
London School of Economics

References found in this work

The logic of scientific discovery.Karl Raimund Popper - 1934 - New York: Routledge. Edited by Hutchinson Publishing Group.
Logical foundations of probability.Rudolf Carnap - 1950 - Chicago]: Chicago University of Chicago Press.
The continuum of inductive methods.Rudolf Carnap - 1952 - [Chicago]: University of Chicago Press.

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