'Chains of Being' argues that there can be infinite chains of dependence or grounding. Cameron also defends the view that there can be circular relations of ontological dependence or grounding, and uses these claims to explore issues in logic and ontology.

The connection between understanding and explanation has recently been of interest to philosophers. Inglis and Mejía-Ramos (Synthese, 2019) propose that within mathematics, we should accept a functional account of explanation that characterizes explanations as those things that produce understanding. In this paper, I start with the assumption that this view of mathematical explanation is correct and consider what we can consequently learn about mathematical explanation. I argue that this view of explanation suggests that we should shift the question of explanation (...) away from why-questions and towards a “what’s going on here” question. Additionally, I argue that when we recognize the connection between understanding and explanation we naturally see how more than just proof can be explanatory. I expand this point by detailing how definitions and diagrams can be explanatory. In all, we see that when we take seriously the connection between understanding and explanation, we get a better sense of how explanation arises within mathematics. (shrink)

Supervenience is necessary co-variation between two sets of entities. In the good old days, supervenience was considered a useful philosophical tool with a wide range of applications in the philosophy of mind, metaethics, epistemology, and elsewhere. In recent years, however, supervenience has fallen out of favor, giving place to grounding, realization, and other, more metaphysically “meaty”, notions. The emerging consensus is that there are principled reasons for which explanatory theses cannot be captured in terms of supervenience, or as the slogan (...) goes: “Supervenience Is Nonexplanatory”. While SIN is widely endorsed, it is far from clear what it amounts to and why we should believe it. In this paper, I will distinguish various theses that could be meant by it, and will argue that none of them is both interesting and plausible: on some interpretations of ‘explanatory’, we have no reason to believe that supervenience is unexplanatory, while on other interpretations, supervenience is indeed unexplanatory, but widely accepted textbook cases of explanatory relations come out as unexplanatory, too. This result raises doubts as to whether there is any interesting sense in which SIN is true, and suggests that the contemporary consensus about supervenience is mistaken. (shrink)

We argue that the robustness analysis of idealized models can have confirmational power. This responds to concerns recently raised in the literature, according to which the robustness analysis of models whose idealizations are not discharged is unable to confirm the causal mechanisms underlying these models, and the robustness analysis of models whose idealizations are discharged is unnecessary. In response, we make clear that, where idealizations sweep out, in a specific way, the space of possibilities— which is sometimes, though not always, (...) the case—they can be holistically discharged. In turn, this can be used to show that the robustness analysis of idealized models can have confirmational force after all. (shrink)