The Geometry of Knowledge (2004) [1 citations — 1 self]
by
Johan Van
,
Johan Van Benthem
,
Darko Sarenac
In Aspects of universal logic, volume 17 of Travaux Log
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@INPROCEEDINGS{Van04thegeometry,
author = {Johan Van and Johan Van Benthem and Darko Sarenac},
title = {The Geometry of Knowledge},
booktitle = {In Aspects of universal logic, volume 17 of Travaux Log},
year = {2004},
pages = {1--31}
}
author = {Johan Van and Johan Van Benthem and Darko Sarenac},
title = {The Geometry of Knowledge},
booktitle = {In Aspects of universal logic, volume 17 of Travaux Log},
year = {2004},
pages = {1--31}
}
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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 a#ords greater powers of distinction in the study of common knowledge, defining new collective agents, and merging information for groups of agents.
