Mura, Alberto Mario (2008) *Can logical probability be viewed as a measure of degrees of partial entailment?* Logic and Philosophy of Science, Vol. 6 (1), p. 25-33. eISSN 1826-1043. Article.

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## Abstract

A new account of *partial entailment* is developed. Two meanings of the term ‘partial entailment’ are distinguished, which generalise two distinct aspects of deductive entailment. By one
meaning, a set of propositions *A* entails a proposition *q* if, supposed that all the elements of *A* are true, *q* must necessarily be true as well. By the other meaning, *A* entails *q* inasmuch the informative content of *q* is encapsulated in the informative content of *A: q* repeats a part of what the elements of *A*, taken together, convey. It is shown that while the two ideas are coextensive with respect to deductive inferences, they have not a common proper *explicatum* with respect to the notion of partial entailment. It is argued that epistemic inductive probability is adequate as an *explicatum* of partial entailment with respect to the first meaning while it is at odds with the second one. A new *explicatum* of the latter is proposed and developed in detail. It is shown that it does not satisfy the axioms of probability.

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