Relevant entailment and logical ground - Sciences et technologies de la musique et du son
Journal Articles Philosophical Studies Year : 2024

Relevant entailment and logical ground

Abstract

According to an intuitive picture of relevant entailment, an entailment is relevant if all the formulas it contains contribute to its validity. In this paper, we provide a ground-theoretic analysis of this notion of contribution, and as a result of relevant entailment. We build a system of bilateral logical grounding within which we can derive classical entailment and analyze the contribution of premises and conclusions, in terms of a certain type of connection between their respective logical grounds. The resulting framework is shown to have a strong unifying and explanatory power by bringing together the notions of grounding and relevance and explaining the commonalities and differences between alternative contribution-based accounts of relevance.
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Tuesday, March 4, 2025
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Dates and versions

hal-04632266 , version 1 (02-07-2024)

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Pierre Saint-Germier, Peter Verdée, Pilar Terrés Villalonga. Relevant entailment and logical ground. Philosophical Studies, 2024, ⟨10.1007/s11098-024-02101-1⟩. ⟨hal-04632266⟩
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