An Analysis of the Grounding Relation By
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View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Illinois Digital Environment for Access to Learning and Scholarship Repository AN ANALYSIS OF THE GROUNDING RELATION BY CHRISTOPHER ERIK HENDRICKSEN DISSERTATION Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Philosophy in the Graduate College of the University of Illinois at Urbana-Champaign, 2014 Urbana, Illinois Doctoral Committee: Associate Professor Daniel Z. Korman, Chair Professor Timothy McCarthy Assistant Professor Jonathan Livengood Associate Professor Andrew Arana ABSTRACT This dissertation is an analysis of the grounding relation and its use in contemporary metaphysics. In the first three chapters, I consider the relation itself and its formal features. In the first chapter, I argue that there is such a grounding relation and that it is distinct from other relations. Having defended the grounding relation from skeptics, I turn to a discussion of the various features of the relation, starting with its candidate relata. In the second chapter, I analyze the nature and formal features of the grounding relation. In the third, I argue that there is a fundamental level consisting of entities which are ungrounded, and I discuss various proposals about what exists at that fundamental level. The last two chapters focus on the role that grounding can play in contemporary metaphysics. In the fourth chapter, I consider claims that certain relations, including the grounding relation, can yield an ontological free lunch. I examine what it might mean to get such a free lunch, and argue that there is no such thing. Finally, in the fifth chapter, I consider the grounding problem from material object metaphysics. The use of the grounding relation in this debate illustrates how the grounding relation can be used in metaphysics generally, and in the later part of the fifth chapter, I examine that role that the grounding relation can play. ii For Laura iii ACKNOWLEDGEMENTS This dissertation would not have been possible without support from many people – too many to list them all individually here. First, many thanks to my advisor, Daniel Korman, for his incredibly timely and insightful comments, for pushing when I needed pushing, and for being flexible when I needed flexibility. Also thanks to my committee members, Timothy McCarthy, Andrew Arana, and Jonathan Livengood for their comments and support. I also thank the many graduate students who read and commented on various drafts of this dissertation in seminars and colloquia. And finally, a special thanks to my friends, coworkers, and family who have supported me along the way, and especially my wife who is always there for me. iv TABLE OF CONTENTS PREFACE ...................................................................................................................................... vi CHAPTER 1: THE FUNDAMENTALS OF GROUNDING ........................................................ 1 CHAPTER 2: THE NATURE OF GROUNDING ....................................................................... 25 CHAPTER 3: THE FUNDAMENTALS ...................................................................................... 55 CHAPTER 4: THERE ARE NO ONTOLOGICAL FREE LUNCHES ....................................... 79 CHAPTER 5: THE GROUNDING PROBLEM ........................................................................ 102 BIBLIOGRAPHY ....................................................................................................................... 127 v PREFACE There are two broad categories into which discussions of the grounding relation can be grouped. First there are discussions concerning the grounding relation itself. Second, there are discussions concerning the role of the grounding relation in metaphysics or philosophy as a whole. This dissertation will generally follow this categorization. The first three chapters will be concerned with the grounding relation itself. The last two will focus on the role the grounding relation can play in larger philosophical debates. The first issue that must be discussed is whether there is a genuine, distinct relation here, or whether what I have called the grounding relation is some other, more familiar relation, such as counter-factual dependence. Skeptics have taken the latter position, claiming that every case of purported grounding reduces to one of those other, more familiar relations. In Chapter 1, I argue against these skeptics and show that there are clear cases of the grounding relation which do not reduce to any of these other relations. Once I have shown that there is such a relation, the next question is “What does it relate?” The answer to that question makes up the remainder of Chapter 1. Most philosophers who discuss the grounding relation take it to be a relation between facts. I investigate various ways someone might hold this view, which I call factive grounding, and I argue against them. I defend the claim that, instead of factive grounding, we should hold that any entity should be a candidate relatum of the grounding relation. I call this view unrestricted grounding. vi Having argued that there is a grounding relation and having discussed what it relates, I turn in Chapter 2 to a discussion of the nature of the grounding relation. Most philosophers working in this area take grounding to be a kind of explanation, specifically metaphysical explanation. This view falls naturally out of the factive grounding that I described above, but as I argued against that, I also argue against treating the grounding relation as a kind of explanation. It is instead a kind of causation, specifically metaphysical causation. I do not deny, however, that there is also a metaphysical explanation. I claim that metaphysical causation informs metaphysical explanation in much the same way that ordinary causation often informs ordinary explanation. This discussion leads to an analysis of the formal features of the grounding relation. Grounding is often assumed to be transitive, irreflexive and asymmetric. However, the claims of both the transitivity and the irreflexivity of the grounding relation have been challenged recently in the literature. I defend both the irreflexivity and the transitivity of grounding, and that, along with its asymmetry, shows that grounding is a strict partial ordering relation. Finally, having analyzed the formal features of the grounding relation, I critique two attempts to offer a formal logic of the grounding relation. Chapter 3 is the last of the chapters that focuses on the grounding relation itself. This chapter centers on discussions of the fundamental level. The first question is whether or not there is a fundamental level. In the previous chapter I showed that the grounding relation is ordered, but I have not yet shown that it is well founded. Bradley’s regress, once adapted for grounding, calls into question the assumption that there is a fundamental level at which entities ground but are themselves not grounded. Instead there may be an infinite descending chain of grounded entities which is never firmly anchored on a fundamental level. In this chapter I show that my vii account of grounding can avoid Bradley’s regress. I then argue that there is a fundamental level and that it is composed of quantum fields. This view is contrasted with Schaffer’s priority monism view which is the view that there is only one fundamental entity: the cosmos. The first three chapters were facing inwards, focusing on the nature of the grounding relation itself. In the last two chapters, I examine what role the grounding relation can play in metaphysics or in philosophy more generally. Schaffer has suggested that consideration of the grounding relation can give us a better approach to metaphysical questions. He argues that too many debates in contemporary metaphysics focus on what does or does not exist. To Schaffer, these questions are easy – he argues we should be radically permissive with respect to existence questions. The more interesting question is which things are fundamental and which are not. A key component in Schaffer’s argument is that dependent entities are a “free lunch,” which purportedly means they are no addition to being. Schaffer is neither the first nor the last to appeal to this notion of a free lunch. Armstrong used the doctrine of an ontological free lunch to justify unrestricted composition. Cameron appeals to a similar doctrine when he discusses another recent puzzle in metaphysics. In Chapter 4 I take on this doctrine of the ontological free lunch. I analyze what such a thing as a “free lunch” with respect to ontology may be, and I argue that there can be no such thing. Finally, in Chapter 5, I examine how the grounding relation can play a role in other ongoing debates in contemporary metaphysics, and I consider future roles the relation may take on. First I consider a debate of contemporary material object metaphysics concerning the apparent colocation of a statue and the clay that composes it. I also consider the grounding relation when seen as the successor of the makes true relation found in Truthmaker theory. viii Armstrong intended Truthmaker to be a methodology for doing metaphysics, and I contend that grounding can play a similar role. ix CHAPTER 1 THE FUNDAMENTALS OF GROUNDING There is a structure to the world, and one of the aims of metaphysics is to find and elucidate that structure. The search is for the notions that are best at, as Sider puts it, “carving