In Modal Matters: Essays in Metaphysics. Oxford: Oxford University Press. pp. 3-39 (2020)

Authors
Phillip Bricker
University of Massachusetts, Amherst
Abstract
In this introductory chapter to my collection of papers, Modal Matters, I present my tripartite account of reality. First, I endorse a plenitudinous Platonism: for every consistent mathematical theory, there is in reality a mathematical system in which the theory is true. Second, for any way of distributing fundamental qualitative properties over mathematical structures, there is a portion of reality that has that structure with fundamental properties distributed in that way; some of these portions of reality, when isolated, are the possible worlds. Third, there is a fundamental ontological distinction between those portions of reality that are absolutely actual, and those that are merely possible. In the course of developing this account of reality, I sketch my views on logic, mathematics, modality, qualitative character, and actuality. An austere Humeanism that rejects all primitive modality motivates and constrains my views.
Keywords reality  logic  mathematical structuralism  modality  absolute actuality
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