Abstract

Metaphysics is largely an a priori business, albeit a business that is sensitive to the findings of the physical sciences. This chapter has two aims. The first is to defend a particular conception of the methodology of a priori metaphysics by, in part, exemplifying that methodology and revealing its results. The second is to present a new account of holes. These two aims dovetail nicely. The chapter provides a better analysis of the concept ′hole′ that yields a more plausible metaphysical story about holes. The authors defend a new, functionalist, analysis of holes, which, unlike its rivals, neither misidentifies nor renders them implausibly eliminativist about holes under various different metaphysical suppositions about the nature of space. In the process, the authors set out the complex relations between the intension of "hole," and its extension at various worlds under different suppositions about the nature of space.