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  1. Decision Theory Without “Independence” or Without “Ordering”.Teddy Seidenfeld - 1988 - Economics and Philosophy 4 (2):267.
    It is a familiar argument that advocates accommodating the so-called paradoxes of decision theory by abandoning the “independence” postulate. After all, if we grant that choice reveals preference, the anomalous choice patterns of the Allais and Ellsberg problems violate postulate P2 of Savage's system. The strategy of making room for new preference patterns by relaxing independence is adopted in each of the following works: Samuelson, Kahneman and Tversky's “Prospect Theory”, Allais and Hagen, Fishburn, Chew and MacCrimmon, McClennen, and in closely (...)
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  • Varieties of modal (classificatory) and comparative probability.Peter Walley & Terrence L. Fine - 1979 - Synthese 41 (3):321 - 374.
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  • Measures of uncertainty in expert systems.Peter Walley - 1996 - Artificial Intelligence 83 (1):1-58.
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  • Probability: A new logico-semantical approach. [REVIEW]Christina Schneider - 1994 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 25 (1):107 - 124.
    This approach does not define a probability measure by syntactical structures. It reveals a link between modal logic and mathematical probability theory. This is shown (1) by adding an operator (and two further connectives and constants) to a system of lower predicate calculus and (2) regarding the models of that extended system. These models are models of the modal system S₅ (without the Barcan formula), where a usual probability measure is defined on their set of possible worlds. Mathematical probability models (...)
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  • A logical formalization of the OCC theory of emotions.C. Adam, A. Herzig & D. Longin - 2009 - Synthese 168 (2):201-248.
    In this paper, we provide a logical formalization of the emotion triggering process and of its relationship with mental attitudes, as described in Ortony, Clore, and Collins’s theory. We argue that modal logics are particularly adapted to represent agents’ mental attitudes and to reason about them, and use a specific modal logic that we call Logic of Emotions in order to provide logical definitions of all but two of their 22 emotions. While these definitions may be subject to debate, we (...)
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  • Update, Probability, Knowledge and Belief.Jan van Eijck & Bryan Renne - 2016 - In Lev Beklemishev, Stéphane Demri & András Máté (eds.), Advances in Modal Logic, Volume 11. CSLI Publications. pp. 551-570.
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