Mathematics – Logic
Scientific paper
2009-01-11
Dialogues, Logics and Other Strange Things. Essays in Honour of Shahid Rahman, C. Degr\'emont, L. Keiff & H. R\"uckert (Ed.) (
Mathematics
Logic
Scientific paper
One of the highlights of recent informal epistemology is its growing theoretical emphasis upon various notions of context. The present paper addresses the connections between knowledge and context within a formal approach. To this end, a "contextual epistemic logic", CEL, is proposed, which consists of an extension of standard S5 epistemic modal logic with appropriate reduction axioms to deal with an extra contextual operator. We describe the axiomatics and supply both a Kripkean and a dialogical semantics for CEL. An illustration of how it may fruitfully be applied to informal epistemological matters is provided.
Lihoreau Franck
Rebuschi Manuel
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