Probabilistic Entailment and a Non-Probabilistic Logic

Logic Journal of the IGPL 11 (3):353-365 (2003)
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Abstract

In this paper we present a probabilistic notion of entailment for finite sets of premises, which has classical entailment as a special case, and show that it is well defined; i.e., that the problem of whether a sentence is entailed by a set of premises is computable. Further we present a natural deductive system and prove that it is the strongest deductive system possible without referring to probabilities

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