The Geometry of Knowledge

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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Common Knowledge and Limit Knowledge.Christian W. Bach & Jérémie Cabessa - 2012 - Theory and Decision 73 (3):423-440.

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