Relevant entailment and logical ground

Philosophical Studies 181 (9) (2024)
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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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Author Profiles

Pierre Saint-Germier
Centre National de la Recherche Scientifique
Peter Verdee
Université Catholique de Louvain
Pilar Terrés Villalonga
Universitat de Valencia

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References found in this work

A logic for 'because'.Benjamin Schnieder - 2011 - Review of Symbolic Logic 4 (3):445-465.
Logical grounds.Fabrice Correia - 2014 - Review of Symbolic Logic 7 (1):31-59.
Introduction to *Aboutness*.Stephen Yablo - 2014 - In Aboutness. Oxford: Princeton University Press. pp. 1-6.
Philosophical Logic.John P. Burgess - 2009 - Princeton, NJ, USA: Princeton University Press.
Difference-making grounds.Stephan Krämer & Stefan Peter Https://Orcidorg Roski - 2017 - Philosophical Studies 174 (5):1191-1215.

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