Nonclassical Probability and Convex Hulls

Erkenntnis 82 (1):87-101 (2017)
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Abstract

It is well known that the convex hull of the classical truth value functions contains all and only the probability functions. Work by Paris and Williams has shown that this also holds for various kinds of nonclassical logics too. This note summarises the formal details of this topic and extends the results slightly.

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10.1007/s10670-016-9807-9

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Seamus Bradley
London School of Economics (PhD)

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References found in this work

Modal Logic: Graph. Darst.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2001 - New York: Cambridge University Press. Edited by Maarten de Rijke & Yde Venema.
A Mathematical Theory of Evidence.Glenn Shafer - 1976 - Princeton University Press.
Modal Logic.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2001 - Studia Logica 76 (1):142-148.
Modal Logic.Marcus Kracht - 2002 - Bulletin of Symbolic Logic 8 (2):299-301.
Generalized probabilism: Dutch books and accuracy domi- nation.J. Robert G. Williams - 2012 - Journal of Philosophical Logic 41 (5):811-840.

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