S5 knowledge without partitions

Synthese 172 (1):145 - 155 (2010)


We study set algebras with an operator (SAO) that satisfy the axioms of S5 knowledge. A necessary and sufficient condition is given for such SAOs that the knowledge operator is defined by a partition of the state space. SAOs are constructed for which the condition fails to hold. We conclude that no logic singles out the partitional SAOs among all SAOs.

Download options


    Upload a copy of this work     Papers currently archived: 72,805

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library


Added to PP

125 (#96,196)

6 months
1 (#386,499)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

Similar books and articles

D Efeating the Dogma of Defeasibility.Ram Neta - 2009 - In Patrick Greenough, Duncan Pritchard & Timothy Williamson (eds.), Williamson on Knowledge. Oxford University Press. pp. 161--82.
Self-Knowledge and Rationality.Thomas Spitzley - 2009 - Erkenntnis 71 (1):73 - 88.
How Knowledge Works.John Hyman - 1999 - Philosophical Quarterly 49 (197):433-451.