Proposition-valued random variables as information
Synthese (forthcoming)
| 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. | |||||||||
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James F. Lynch (1997). Infinitary Logics and Very Sparse Random Graphs. Journal of Symbolic Logic 62 (2):609-623.
Arthur Fine (1982). Some Local Models for Correlation Experiments. Synthese 50 (2):279 - 294.
Arthur I. Fine (1968). Logic, Probability, and Quantum Theory. Philosophy of Science 35 (2):101-111.
Philip G. Calabrese (2003). Operating on Functions with Variable Domains. Journal of Philosophical Logic 32 (1):1-18.
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