Fine’s Semantics for Relevance Logic and Its Relevance

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In Federico L. G. Faroldi & Frederik Van De Putte (eds.), Kit Fine on Truthmakers, Relevance, and Non-classical Logic. Springer Verlag. pp. 125-149 (2023)
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Abstract

The challenge of giving a semantics for relevance logic in terms of worlds or situations intrigued several logicians. As a solution, Fine gave a two-sorted semantics. We overview the semantics as well as some further work of Fine in the area of relevance logic. Then we show that beyond supplying technical results such as soundness, completeness and the finite model property (fmp) for many logics, the operational–relational semantics provides footing for an informal interpretation and it naturally leads to an interpretation in terms of relevance.

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10.1007/978-3-031-29415-0_7

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Author Profiles

Katalin Bimbo
University of Alberta
Jon Michael Dunn
PhD: University of Pittsburgh; Last affiliation: Indiana University, Bloomington

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