Syntactic foundations for unawareness of theorems

Galanis, Spyros (2011) Syntactic foundations for unawareness of theorems. Theory and Decision, 71, (4), 593-614. (doi:10.1007/s11238-010-9218-3).


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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 [2007] and compare it with other unawareness models in the literature.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1007/s11238-010-9218-3
ISSNs: 0040-5833 (print)
1573-7187 (electronic)
Keywords: unawareness, uncertainty, knowledge, interactive epistemology, modal logic, bounded perception
Subjects: H Social Sciences > HB Economic Theory
B Philosophy. Psychology. Religion > BF Psychology
H Social Sciences > HF Commerce
Divisions : University Structure - Pre August 2011 > School of Social Sciences > Economics
ePrint ID: 155605
Accepted Date and Publication Date:
October 2011Published
Date Deposited: 01 Jun 2010 13:02
Last Modified: 31 Mar 2016 13:25

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