Authors
Johan Van Benthem
University of Amsterdam
Abstract
The most widely used attractive logical account of knowledge uses standard epistemic models, i.e., graphs whose edges are indistinguishability relations for agents. In this paper, we discuss more general topological models for a multi-agent epistemic language, whose main uses so far have been in reasoning about space. We show that this more geometrical perspective affords greater powers of distinction in the study of common knowledge, defining new collective agents, and merging information for groups of agents.
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References found in this work BETA

Convention: A Philosophical Study.David Kellogg Lewis - 1969 - Cambridge, MA, USA: Wiley-Blackwell.
Generalized Quantifiers and Natural Language.John Barwise & Robin Cooper - 1981 - Linguistics and Philosophy 4 (2):159--219.
Convention: A Philosophical Study.David K. Lewis - 1971 - Philosophy and Rhetoric 4 (2):137-138.
Convention: A Philosophical Study.David K. Lewis - 1973 - Synthese 26 (1):153-157.

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Citations of this work BETA

Neighborhood Semantics for Modal Logic.Eric Pacuit - 2017 - Cham, Switzerland: Springer.
A Note on Logics of Ignorance and Borders.Christopher Steinsvold - 2008 - Notre Dame Journal of Formal Logic 49 (4):385-392.

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