Combining Analogical Support in Pure Inductive Logic

Paris, J.B. and Vencovska, A. (2017) Combining Analogical Support in Pure Inductive Logic. [MIMS Preprint]

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We investigate the relative probabilistic support afforded by the combination of two analogies based on possibly different, structural similarity (as opposed to e.g. shared predicates) within the context of Pure Inductive Logic and under the assumption of Language Invariance. We show that whilst repeated analogies grounded on the same structural similarity only strengthen the probabilistic support this need not be the case when combining analogies based on different structural similarities. That is, two analogies may provide less support than each would individually.

Item Type: MIMS Preprint
Uncontrolled Keywords: The Counterpart Principle, Structural Similarity, Analogy, Inductive Logic, Logical Probability, Rationality, Uncertain Reasoning.
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations
Depositing User: Professor Jeff Paris
Date Deposited: 14 Feb 2017
Last Modified: 20 Oct 2017 14:13

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