A Note on Irrelevance in Inductive Logic |
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Authors: | Jeff B Paris Alena Vencovská |
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Institution: | 1.School of Mathematics, Alan Turing Building,The University of Manchester,Manchester,UK |
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Abstract: | We consider two formalizations of the notion of irrelevance as a rationality principle within the framework of (Carnapian)
Inductive Logic: Johnson’s Sufficientness Principle, JSP, which is classically important because it leads to Carnap’s influential
Continuum of Inductive Methods and the recently proposed Weak Irrelevance Principle, WIP. We give a complete characterization
of the language invariant probability functions satisfying WIP which generalizes the Nix–Paris Continuum. We argue that the
derivation of two very disparate families of inductive methods from alternative perceptions of ‘irrelevance’ is an indication
that this notion is imperfectly understood at present. |
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