A model for generalization based on confirmatory induction
Identifieur interne : 002816 ( Istex/Checkpoint ); précédent : 002815; suivant : 002817A model for generalization based on confirmatory induction
Auteurs : Nicolas Lachiche [France] ; Pierre Marquis [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: Confirmatory induction is based on the assumption that unknown individuals are similar to known ones, i.e. they satisfy the properties shared by known individuals. This assumption can be represented inside a non-monotonic logical framework. Accordingly, existing approaches to confirmatory induction take advantage of the machinery developed so far for non-monotonic inference. However, they are based on completion policies that are unnecessary strong for the induction purpose. The contribution of this paper is twofold: some basic requirements that any model for generalization based on confirmatory induction should satisfy are proposed. Then, a model for generalization based on Hempel's notion of confirmation is introduced. This model is rational in the sense that it satisfies the rationality postulates we exhibit; moreover, the completion principle on which this model is based captures exactly the similarity assumption, hence the model can be considered minimal as well.
Url:
DOI: 10.1007/3-540-62858-4_80
Affiliations:
- France
- Grand Est, Hauts-de-France, Lorraine (région), Nord-Pas-de-Calais
- Lens (Pas-de-Calais), Vandœzuvre-lès-Nancy
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<front><div type="abstract" xml:lang="en">Abstract: Confirmatory induction is based on the assumption that unknown individuals are similar to known ones, i.e. they satisfy the properties shared by known individuals. This assumption can be represented inside a non-monotonic logical framework. Accordingly, existing approaches to confirmatory induction take advantage of the machinery developed so far for non-monotonic inference. However, they are based on completion policies that are unnecessary strong for the induction purpose. The contribution of this paper is twofold: some basic requirements that any model for generalization based on confirmatory induction should satisfy are proposed. Then, a model for generalization based on Hempel's notion of confirmation is introduced. This model is rational in the sense that it satisfies the rationality postulates we exhibit; moreover, the completion principle on which this model is based captures exactly the similarity assumption, hence the model can be considered minimal as well.</div>
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