Confirmation as partial entailment: A representation theorem in inductive logic |
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Authors: | Vincenzo Crupi Katya Tentori |
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Affiliation: | 1. Department of Philosophy and Education, University of Turin, Italy;2. Munich Center for Mathematical Philosophy, Ludwig Maximilian University, Germany;3. Department of Cognitive Sciences and Education, University of Trento, Italy;4. Center for Mind/Brain Sciences, University of Trento, Italy |
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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. |
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Keywords: | Probability Confirmation Inductive logic |
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