Proposition-valued random variables as information

Bradley, RichardORCID logo (2010) Proposition-valued random variables as information Synthese, 175 (Supp1). pp. 17-38. ISSN 0039-7857
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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.

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