Synthese

, Volume 175, Supplement 1, pp 17–38

Proposition-valued random variables as information

Authors

    • Department of Philosophy, Logic and Scientific MethodLondon School of Economics
Article

DOI: 10.1007/s11229-010-9741-3

Cite this article as:
Bradley, R. Synthese (2010) 175: 17. doi:10.1007/s11229-010-9741-3
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Abstract

The notion of a proposition as a set of possible worlds or states occupies central stage in probability theory, semantics and epistemology, where it serves as the fundamental unit both of information and meaning. But this fact should not blind us to the existence of prospects with a different structure. In the paper I examine the use of random variables—in particular, proposition-valued random variables—in these fields and argue that we need a general account of rational attitude formation with respect to them.

Keywords

PropositionsRandom variablesUpdatingProbabilityUtility

Copyright information

© Springer Science+Business Media B.V. 2010