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Title: Explanatory (or Grounding) Proofs: Philosophical Framework, Core Ideas, Results Abstract: When it comes to the question of what proofs serve for, since the antiquity two possible answers have been identified: on the one hand, a proof can serve to show that something is true, on the other hand, a proof can also serve to explain why something is…

Title: Sets as fusions of materially-equivalent rigid embodiments Abstract: Albeit having some initial plausibility, most philosophers today would reject the thesis that members of sets are parts of sets, instead following Lewis (1991, 1993) in taking sets and classes more generally to have only their subclasses as parts, with singletons being mereologically atomic. Against this…

Flatworldism: A (Reluctant) Defense Flatworldism is a view on the nature of reality according to which reality lacks a certain kind of – hierarchical – structure. Prima facie what this means is that reality’s inhabitants are not sub-dividable into the more and less fundamental such that what is more fundamental (at least sometimes) makes what…