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The Nature of Predication THE NATURE OF PREDICATION A Dissertation Presented to the Faculty of the Graduate School of Cornell University in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy by David Liebesman August 2009 c 2009 David Liebesman ALL RIGHTS RESERVED THE NATURE OF PREDICATION David Liebesman, Ph.D. Cornell University 2009 I articulate and defend a necessary and sufficient condition for an occurrence of a term to function semantically as a predicate. The condition is that the term occurrence stands in the relation of ascription to its denotation, ascription being a fundamental semantic relation that differs from reference. This view on pred- ication has dramatically different semantic consequences from its alternatives. After outlining the alternatives, I draw out these consequences and show how they favor the ascription view. I then develop the ascription view and elicit a number of its virtues. BIOGRAPHICAL SKETCH David Liebesman received his B.A. in philosophy from Brandeis University in 2002, and his M.A. from University of Colorado in 2005. His primary areas of philosophical interest are philosophy of language and metaphysics. He begins his assistant professorship at Boston University in the fall of 2009. iii To my parents. iv ACKNOWLEDGEMENTS The work in this dissertation has benefited from conversations I’ve had with Karen Bennett, Richard Boyd, Brendan Jackson, Theo Korzukhin, Christian Lee, Tom McKay, Colin McLear, Andrew McGonigal, Nathan Salmon, and Robbie Williams. My dissertation committee has been absolutely wonderful. Sally McConnell-Ginet, Harold Hodes, and Brian Weatherson provided con- stant feedback and support. My greatest debt is to my dissertation advisor, Matti Eklund. Matti’s insight permeates every page of this dissertation. He has been an outstanding advisor, colleage, and friend. My parents, Larry and Carol Liebesman, and my partner Karen Bourrier have provided me with love and support. Without them, this dissertation wouldn’t be actual. v TABLE OF CONTENTS Biographical Sketch . iii Dedication . iv Acknowledgements . .v Table of Contents . vi 1 Introduction 1 1.1 Preliminaries . .1 1.2 Reference, Ascription, Mapping, and Skepticism . .7 1.2.1 The Entity View . .8 1.2.2 The Ascription View . 11 1.2.3 The Mapping View . 12 1.2.4 The Skeptical View . 15 1.3 The Plan . 17 2 Skepticism 19 2.1 The Sources of Skepticism . 19 2.2 The Skeptic’s Semantics . 20 2.3 Motivation for Skepticism . 23 2.3.1 The Argument from Sameness of Proposition . 24 2.3.2 The Argument from The Incomprehensible Trinity . 27 2.3.3 The Argument from Intimate Connections . 30 2.4 Motivation for Optimism . 33 2.4.1 Negation . 33 2.4.2 Concatenation . 41 2.4.3 Interpretability . 44 2.5 The State of Play . 47 3 Nominalism and Quantification 48 3.1 Nominalism . 48 3.2 Two Arguments for Nominalism . 49 3.2.1 Van Cleve’s argument from Intrinsicality . 50 3.2.2 Regress Arguments . 55 3.3 Quantification . 62 3.3.1 The First Strategy . 64 3.3.2 The Second Strategy . 69 3.3.3 Looking Forward . 73 4 Expressibility Problems 75 4.1 Frege and Beyond . 75 4.2 The Concept Horse in Frege . 77 4.2.1 A Breach of Custom . 77 4.2.2 Expressibility Problems . 82 vi 4.2.3 Misdiagnosis . 86 4.2.4 Diagnosis . 90 4.3 Relevance . 94 4.3.1 Montague-style Type Theory . 95 4.3.2 General Motivation . 97 4.4 Depth . 99 4.4.1 Ineffability . 100 4.4.2 Methods for Rejecting GS . 102 4.4.3 Proxy Objects . 104 4.4.4 Descriptions as Predicates . 106 4.4.5 “What” Phrases as Predicates . 108 4.4.6 A Move to the Formal . 112 4.4.7 The Unsolvable Problem . 114 4.5 Implications . 116 5 Natural Language Motivations for the Ascription View 118 5.1 Natural Language . 118 5.1.1 Nominalization . 119 5.1.2 Dual Occurrences . 122 5.1.3 Predicate Anaphora . 125 5.2 Attempted Solutions for the Entity Theorist . 128 5.3 Attempted Solutions for the Mapping Theorist . 135 5.4 The Ascription View and Relation Swapping . 137 6 The Ascription View 139 6.1 Combating Obscurity . 139 6.1.1 Direction . 140 6.1.2 Incompleteness . 145 6.1.3 Predicates and Predicative Occurrences . 146 6.1.4 Relata . 147 6.1.5 Nominalization . 149 6.1.6 Truth . 150 6.1.7 Unity . 152 6.2 Paradox . 155 6.2.1 The Entity and Mapping Views . 157 6.2.2 Ascription-Compatible Approaches . 158 Bibliography 160 vii CHAPTER 1 INTRODUCTION 1.1 Preliminaries Our simplest sentences come in two parts. One part, the subject, picks out the sentence’s topic. The other part, the predicate, characterizes that topic. For example, in “Homer drinks”, “Homer” is the subject and “drinks” is the pred- icate. Dividing simple sentences into these parts is easy, but complexity brings complications. The sentence “Dave cooked dinner and Karen ate it” contains more than two significant parts, and which is picked as the subject could have as much to do with the reader’s hunger as the sentence’s structure. We can still pick out predicates, though: “cooked dinner” is a predicate of “Dave” and “ate it” is a predicate of “Karen”. As quantifiers, adjuncts, relative clauses and other sorts of complexity are introduced, decomposing a sentence into its significant parts becomes steadily harder. We will still likely find predicates, though, as well as an intuitive contrast with their arguments. My aim in this dissertation is to advance a theory of what the meanings of all predicates have in common. This aim is ambitious, though it is not without precedent. On my view, what predicates have in common is a way of denoting. Just as proper names denote by referring:“Dave” refers to Dave, predicates de- note by ascribing: “cooked dinner” ascribes the property of cooking dinner to Dave. This view is certainly not the only possible one: I will soon sketch three others. It also has not been frequently defended, despite some recent notable adherents: Wright (1998) and Burge (2007). 1 More precisely, my aim is to give a necessary and sufficient condition for a term or an occurrence of a term to function semantically as a predicate. This aim should be distinguished from distinct, though related, issues involving predica- tion, e.g. the problem of the unity of the proposition, Bradley’s regress, the con- cept horse problem, and the third man argument. In the Chapters to follow, I will consider several of these issues, sometimes in great detail. For now, though, I’ll stick to considering the conditions that give rise to predication. Since this partic- ular topic is not one with an extensive literature nor one that many contempo- rary philosophers, even philosophers of language, have seriously considered, preliminaries are needed. When I write about predicates I have in mind a category of terms and their occurrences that is familiar to just about every competent speaker. For instance, in sentence (1), “Frege” is the subject while “wise” is the predicate.1 (1) Frege is wise. At least when it comes to simple sentences such as (1), ordinary speakers are competent at distinguishing predicates from non-predicates. There are cer- tainly harder cases, but the uncontroversial examples are plentiful enough to fix a topic. That the category of predicates is familiar does not entail that it is semantically interesting. A skeptic may maintain that there is nothing that semantically distinguishes predicates. I will argue against such skepticism in 1Throughout this dissertation I’ll assume that the copula “is” is semantically vacuous. This assumption is common, though I do not see that it is essential to my discussion. If the predicate in (1) is “is wise” rather than “wise” then most of what I say could easily be adjusted to apply to “is wise” rather than “wise”. Salmon (2005) and Wiggins (1984) give views on which the copula is a predicate-forming operator that takes a referential term, e.g. “wise”, and produces a predicate, e.g. “is wise”. I reject this view for a number of reasons, not the least of which is the fact that general terms such as “wise” have predicative occurrences in the absence of the copula, e.g. “I consider Frege wise”. Nonetheless, the view is consistent with all of the substantial claims in this dissertation. 2 Chapter 2. In (1) “Frege” is distinguished from “wise” in a number of ways. Syntac- tically, the former constitutes a noun phrase while the later is part of a verb phrase. Pragmatically, the former picks out the topic of the sentence while the latter characterizes the topic. Model-theoretically, “Frege” is usually assigned a single entity while “wise” is assigned a function from entities to truth-values. My aim is largely independent of what syntactic, pragmatic, and model- theoretic features we attribute to predicates.2 I will not be concerned with syntax by, for instance, correlating predicates with syntactic categories or fea- tures.3 I will not be concerned with pragmatics by, for instance, explaining the role of predication in communicative intentions and discourse structure.4 I will not be concerned with model theory by, for instance, by providing set-theoretic structures that allow us to make cross-linguistic and compositional predictions.5 Rather, I will be concerned with the semantic properties of predicates. Predi- cates, I claim, form a natural semantic class in virtue of the contribution they make to the semantic structure of sentences. Examples of predicates, especially in atomic sentences such as (1), are easy to come by. According to some se- 2I say “largely independent” because, though I will not be concerned with syntax, pragmat- ics, and model theory, we may expect that satisfaction of my aim will have implications in all three areas.
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