The Finite Values Property

Howarth, E. and Paris, J.B. (2017) The Finite Values Property. [MIMS Preprint]

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We argue that the simplicity condition on a probability function on sentences of a predicate language $L$ that it takes only finitely many values on the sentences of any finite sublanguage of $L$ can be viewed as rational. We then go on to investigate consequences of this condition, linking it to the model theoretic notion of quantifier elimination.

Item Type: MIMS Preprint
Uncontrolled Keywords: Finite Values Property, Quantifier Elimination, 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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