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Theory and Decision

, Volume 71, Issue 4, pp 593–614 | Cite as

Syntactic foundations for unawareness of theorems

  • Spyros GalanisEmail author
Article

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.

Keywords

Unawareness Uncertainty Knowledge Interactive epistemology Modal logic Bounded perception 

JEL Classification

C70 C72 D80 D82 

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Copyright information

© Springer Science+Business Media, LLC. 2010

Authors and Affiliations

  1. 1.Economics Division, School of Social SciencesUniversity of SouthamptonSouthamptonUK

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