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Syntactic foundations for unawareness of theorems

Galanis, S. ORCID: 0000-0003-4286-7449 (2011). Syntactic foundations for unawareness of theorems. Theory and Decision, 71(4), pp. 593-614. doi: 10.1007/s11238-010-9218-3

Abstract

We provide a syntactic model of unawareness. By introducing multiple knowledge modalities, one for each sub-language, we specifically model agents whose only mistake in reasoning (other than their unawareness) is to underestimate the knowledge of more aware agents. We show that the model is a complete and sound axiomatization of the set-theoretic model of Galanis (University of Southampton Discussion paper 709, 2007) and compare it with other unawareness models in the literature.

Publication Type: Article
Publisher Keywords: unawareness, uncertainty, knowledge, interactive epistemology, modal logic, bounded perception
Subjects: H Social Sciences > HB Economic Theory
Departments: School of Arts & Social Sciences > Economics
URI: http://openaccess.city.ac.uk/id/eprint/21339
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