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Partial Logic and the Dynamics of Epistemic
States
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Francois Lepage
Serge Lapierre
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Keywords: Epistemic states,
Partial logic, Saturated sets.
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Abstract: In this paper, we put forward what we call the
Principle of Cautiousness for revised belief states : If an
agent believes that A implies B on the sole basis that he
believes B (i. e. he does not believe not A), then if he
ceases to believe B, he ceases to believe that A implies B.
We then introduce a system of partial propositional logic
and show that if we represent epistemic states as
deductively closed disjunctively saturated sets of
propositions, then the principle is satisfied. Comparison is
made with AGM system.
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Click here
to obtain the paper in PDF format.
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Francois Lepage, lepagef@ERE.UMontreal.CA
University of Montreal
Serge Lapierre
College de Bois-de-Boulogne
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Spinning Ideas, Electronic Essays
Dedicated to Peter Gärdenfors on His Fiftieth
Birthday
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