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Belief spaces as sets of propositions
Authors:STUART C SHAPIRO
Affiliation:Department of Computer Science and Center for Cognitive Science , State University of New York at Buffalo , 226 Bell Hall, Buffalo, NY, 14260-2000, USA E-mail: email: shapiro@cs.buffalo.edu
Abstract:Abstract

It is common in the knowledge representation literature for a belief space to be considered to be a set of sentences. Some implications of this stance are examined, and an alternative view, that belief spaces are sets of propositions is developed, and found to be an improvement. This latter view requires that propositions be accepted as entities in the domain of discourse of languages of thought, which, it is argued, accords with commonsense usage. In exchange, the semantics of nested belief expressions is simplified, and certain problems caused by the sentential view are avoided.
Keywords:knowledge representation  beliefs  propositions  language of thought  semantics
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