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Crupi, Vincenzo; Tentori, Katya (2013): Confirmation as partial entailment: A representation theorem in inductive logic. In: Journal of Applied Logic, Vol. 11, Nr. 4: 364 - 372
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Abstract

The most prominent research program in inductive logic — here just labeled The Program, for simplicity — relies on probability theory as its main building block and aims at a proper generalization of deductive-logical relations by a theory of partial entailment. We prove a representation theorem by which a class of ordinally equivalent measures of inductive support or confirmation is singled out as providing a uniquely coherent way to work out these two major sources of inspiration of The Program.