Mathematical and metaphysical explanation : New Perspectives
Workshop co-organisé par l’IHPST
The last decade has witnessed an increasing interest in two related notions, the notion of metaphysical explanation, or grounding, and the notion of mathematical explanation. Grounding is often described as a relation in which explanans and explanandum are connected, not through some sort of causal mechanism, but through some constitutive form of determination. Mathematical explanations, on the other hand, are seen as mathematical proofs that not only prove that something is true, but also why something is true. Although strictly connected, the studies of these two notions have proceeded separately and, as far as we know, have never been intersected. This workshop aims at taking a first step towards reparing this situation; the goal is to start constructing a natural bridge between metaphysical and mathematical explanations; this bridge could give rise to an interesting and fruitful research.