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  1. Relevant entailment and logical ground.Pierre Saint-Germier, Peter Verdée & Pilar Terrés Villalonga - forthcoming - Philosophical Studies:1-43.
    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 (...)
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  • Grounding rules for (relevant) implication.Francesca Poggiolesi - 2020 - Journal of Applied Non-Classical Logics 31 (1):26-55.
    In Poggiolesi [. Grounding principles for implication. Synthese, 1–28], a definition of the notion of grounding in the background of a relevant framework has been introduced; this...
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  • Conceptual (and Hence Mathematical) Explanation, Conceptual Grounding and Proof.Francesca Poggiolesi & Francesco Genco - 2021 - Erkenntnis:1-27.
    This paper studies the notions of conceptual grounding and conceptual explanation (which includes the notion of mathematical explanation), with an aim of clarifying the links between them. On the one hand, it analyses complex examples of these two notions that bring to the fore features that are easily overlooked otherwise. On the other hand, it provides a formal framework for modeling both conceptual grounding and conceptual explanation, based on the concept of proof. Inspiration and analogies are drawn with the recent (...)
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