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A representation theorem for a decision theory with conditionals

Bradley, Richard (1998) A representation theorem for a decision theory with conditionals. Synthese, 116 (2). pp. 187-229. ISSN 1573-0964

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Abstract

This paper investigates the role of conditionals in hypothetical reasoning and rational decision making. Its main result is a proof of a representation theorem for preferences defined on sets of sentences (and, in particular, conditional sentences), where an agent’s preference for one sentence over another is understood to be a preference for receiving the news conveyed by the former. The theorem shows that a rational preference ordering of conditional sentences determines probability and desirability representations of the agent’s degrees of belief and desire that satisfy, in the case of non-conditional sentences, the axioms of Jeffrey’s decision theory and, in the case of conditional sentences, Adams’ expression for the probabilities of conditionals. Furthermore, the probability representation is shown to be unique and the desirability representation unique up to positive linear transformation.

Item Type: Article
Official URL: http://www.springer.com/philosophy/philosophy+of+s...
Additional Information: © 1998 Kluwer Academic Publishers
Library of Congress subject classification: Q Science > Q Science (General)
B Philosophy. Psychology. Religion > BC Logic
Sets: Research centres and groups > Centre for Philosophy of Natural and Social Science (CPNSS)
Departments > Philosophy, Logic and Scientific Method
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 27 Jan 2009 12:40
URL: http://eprints.lse.ac.uk/22216/

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