Open Access. Powered by Scholars. Published by Universities.^{®}

Articles **1** - **2** of ** 2**

## Full-Text Articles in Philosophy

Physical Geometry, James P. Binkoski

#### Physical Geometry, James P. Binkoski

*Doctoral Dissertations*

All physical theories, from classical Newtonian mechanics to relativistic quantum field theory, entail propositions concerning the geometric structure of spacetime. To give an example, the general theory of relativity entails that spacetime is curved, smooth, and four-dimensional. In this dissertation, I take the structural commitments of our theories seriously and ask: how is such structure instantiated in the physical world? Mathematically, a property like 'being curved' is perfectly well-defined insofar as we know what it means for a mathematical space to be curved. But what could it mean to say that the physical world is curved? Call this the *problem ...*

The Path To Supersubstantivalism, Joshua D. Moulton

#### The Path To Supersubstantivalism, Joshua D. Moulton

*Doctoral Dissertations*

This dissertation is divided into two parts. In the first part I defend substantivalism. I do this by offering, in chapter 1, a counterpart-theoretic defense of substantivalism from Leibnizâ€™ shift arguments. Then, in chapter 2, I defend substantivalism from the hole argument and argue, against the consensus, that the question of haecceitism is irrelevant to substantivalism in the context of general relativity.

In the second part of the dissertation I defend supersubstantivalism. I do this by offering, in chapter 3, an argument against dualistic substantivalism. The argument appeals to plausible principles of modal plenitude to show that the dualist is ...