Spohn

Ranking Functions, AGM Style

Wolfgang Spohn

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Keywords: Ranking Functions, (iterated) Belief revision, (iterated and multiple) Belief contraction, (conditional) Dependence and independence

Abstract: First, ranking functions are argued to be superior to AGM belief revision theory in two crucial respects. Second, it is shown how ranking functions are uniquely reflected in iterated belief change. More precisely, conditions on threefold contractions are specified which suffice for representing contractions by a ranking function uniquely up to multiplication by a positive integer. Thus, an important advantage AGM theory seemed to have over ranking functions proves to be spurious.

Click here to obtain the paper in PDF format.

Wolfgang Spohn, wolfgang.spohn@uni-konstanz.de

http://www.uni-konstanz.de/FuF/Philo/Philosophie/Mitarbeiter/spohn.htm

Spinning Ideas, Electronic Essays
Dedicated to Peter Gärdenfors on His Fiftieth Birthday


	Ranking Functions, AGM Style
	Wolfgang Spohn
	[Back to paper list] [Start page] [alphabetical index]
	Keywords: Ranking Functions, (iterated) Belief revision, (iterated and multiple) Belief contraction, (conditional) Dependence and independence
	Abstract: First, ranking functions are argued to be superior to AGM belief revision theory in two crucial respects. Second, it is shown how ranking functions are uniquely reflected in iterated belief change. More precisely, conditions on threefold contractions are specified which suffice for representing contractions by a ranking function uniquely up to multiplication by a positive integer. Thus, an important advantage AGM theory seemed to have over ranking functions proves to be spurious.

	Click here to obtain the paper in PDF format.
	Wolfgang Spohn, wolfgang.spohn@uni-konstanz.de http://www.uni-konstanz.de/FuF/Philo/Philosophie/Mitarbeiter/spohn.htm

Spinning Ideas, Electronic Essays Dedicated to Peter Gärdenfors on His Fiftieth Birthday