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Download Belief Revision by Peter Gärdenfors PDF

By Peter Gärdenfors

Trust revision is a subject of a lot curiosity in theoretical computing device technological know-how and common sense, and it kinds a primary challenge in examine into man made intelligence. only: how do you replace a database of data within the mild of recent info? What if the recent details is in clash with anything that used to be formerly held to be actual? An clever process can be in a position to accommodate all such instances. This publication features a number of examine articles on trust revision which are thoroughly brand new and an introductory bankruptcy that provides a survey of present study within the quarter and the basics of the speculation. hence this quantity should be helpful as a textbook on trust revision.

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A background assumption is that the revision function is defined for all belief sets. 11 Note that in Lf, sentences containing the conditional connective '>' will be treated on a par with sentences without this operator. The Ramsey test (RT) is, of course, dependent on this assumption. A consequence of (RT) that is crucial is the following monotonicity criterion: (K+M) For all belief sets K and KT and all <|), if K C. K, then K+<|) C. K+<|). The conditions on the revision function that will be needed for the proof are (K+2) and the following very weak criterion, which is one half of (K+5): (K+5w) If K * K_L and K+rj) = K_L, then h -$.

But the result of this contraction depends on how entrenched different beliefs are, and Gardenfors shows that whether h is retained in K — r depends on whether r V -*h is more entrenched than r\/h. If rain is the only reason for Oscar to wear his hat, then r V -~*h will be more entrenched than r Vfo,and we will have h <£ K — r. If Oscar wears his hat even if it does not rain, then r V h will be the more entrenched, and we will have h £ K — r. Gardenfors generalizes from this example to suggest that it may be possible to give a general definition of reasons in terms of epistemic entrenchment.

If Oscar wears his hat even if it does not rain, then r V h will be the more entrenched, and we will have h £ K — r. Gardenfors generalizes from this example to suggest that it may be possible to give a general definition of reasons in terms of epistemic entrenchment. He discusses one possibility for such a definition due to Spohn (1983). Reformulated in the AGM framework, this definition just says that a is a reason for /3 in K if a,/3 G K and a V /3 < a\ that is, if /3 is also removed whenever a is.

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