Relevant entailment and logical ground
(2024) Philosophical Studies : an international journal for philosophy in the analytic tradition — p. 51 (2024)
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- Authors
Saint-Germier, Pierre 
- 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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Citations
Saint-Germier, P., Verdée, P., & Villalonga, P. T. (2024). Relevant entailment and logical ground. Philosophical Studies : an international journal for philosophy in the analytic tradition, 51. https://doi.org/10.1007/s11098-024-02101-1 (Original work published 2024)