Syntactic foundations for unawareness of theorems

Theory and Decision 71 (4):593-614 (2011)
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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

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Citations of this work

The value of information and the value of awareness.John Quiggin - 2016 - Theory and Decision 80 (2):167-185.
Rationalizing epistemic bounded rationality.Konrad Grabiszewski - 2015 - Theory and Decision 78 (4):629-637.

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References found in this work

Modal Logic: An Introduction.Brian F. Chellas - 1980 - New York: Cambridge University Press.
Belief, awareness, and limited reasoning.Ronald Fagin & Joseph Y. Halpern - 1987 - Artificial Intelligence 34 (1):39-76.
Modal Logic. An Introduction.Zia Movahed - 2002 - Tehran: Hermes Publishers.

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