Vagueness provides the first comprehensive examination of a topic of increasing importance in metaphysics and the philosophy of logic and language. Timothy Williamson traces the history of this philosophical problem from discussions of the heap paradox in classical Greece to modern formal approaches such as fuzzy logic. He illustrates the problems with views which have taken the position that standard logic and formal semantics do not apply to vague language, and defends the controversial realistic view that vagueness is a kind (...) of ignorance--that there really is a grain of sand whose removal turns a heap into a non-heap, but we cannot know which one it is. (shrink)

According to the principle of bivalence, truth and falsity are jointly exhaustive and mutually exclusive options for a statement. It is either true or false, and not both, even in a borderline case. That highly controversial claim is central to the epistemic theory of vagueness, which holds that borderline cases are distinguished by a special kind of obstacle to knowing the truth-value of the statement. But this paper is not a defence of the epistemic theory. If bivalence holds, it presumably (...) does so as a consequence of what truth and falsity separately are. One may therefore expect bivalence to be derivable from a combination of some principles characterizing truth and other principles characterizing falsity. Indeed, such derivations are easily found. Their form will of course depend on the initial characterizations of truth and falsity, and not all such characterizations will permit bivalence to be derived. In this paper we focus on the relation between its derivability and some principles about truth and falsity. We will use borderline cases for vague expressions as primary examples of an urgent.. (shrink)

Consider an object or property a and the predicate F. Then a is vague if there are questions of the form: Is a F? that have no yes-or-no answers. In brief, vague properties and kinds have borderline instances and composite objects have borderline constituents. I'll use the expression "borderline cases" as a covering term for both. ;Having borderline cases is compatible with precision so long as every case is either borderline F, determinately F or determinately not F. Thus, in addition (...) to borderline cases, vagueness requires "fuzzy borders". A has fuzzy borders if there is no sharp line between a's borderline cases, a's determinate cases and a's determinate non-cases. To illustrate, loudness is vague because in a continuum of gradually increasing volume, there is no fact about where the last definite loud noise is and where the first borderline noise is. ;Actual borderline cases are not required for vagueness. Suppose actual noises are either ear-shatteringly loud or silent. Even so, loudness is vague since it could have borderline instances. Just so for objects. Suppose a table is cleanly bounded such that there is a sharp break between the table and its surroundings. Still, that table is vague since there are worlds at which it is indeterminate whether some wood molecule a is, or is not, part of that table. ;There are three views about which things can be vague. On the linguistic view, vagueness is solely a feature of expressions. On the nihilistic view, nothing is vague because vagueness is incoherent. Pitted against these views is the ontological conception of vagueness according to which borderline instances and constituents arise due to genuine indeterminacy in nature. ;My dissertation defends the ontological conception. I argue against the adequacy of the theory's rivals, disarm a damaging objection and demonstrate the causal superiority of vague events. Anyone familiar with the literature on vagueness will notice that only a subset of issues are discussed. What I offer is preliminary--I hope only to make the theory of ontological vagueness attractive enough to merit future work. (shrink)

Todd’s quip absurdly implies he knew that 30 carats is the threshold for vulgarity. But most philosophers think stopping here misses the root of the joke. They think there is a more fundamental absurdity; that it is even possible for a single carat to make the difference between a vulgar ring and a non-vulgar ring. We epistemicists defend the possibility.

Cappelen and Lepore argue against the principle P: A semantic theory ought to assign p to S if uttering S is saying p. An upshot of P’s falsity, they allege, is that some objections to Davidson’s programme (such as Foster’s) turn out to be without force. This essay formulates and defends a qualified version of P against Cappelen and Lepore’s objections. It distinguishes P from the more fundamental Q: A semantic theory ought to assign p to S iff literal utterance (...) of S literally says p. Without some objection to Q—which Cappelen and Lepore do not supply—Foster’s objection to Davidson’s programme stands. (shrink)

According to the dominant position among philosophers of language today, we can legitimately ascribe determinate contents to natural language sentences, independently of what the speaker actually means. This view contrasts with that held by ordinary language philosophers fifty years ago: according to them, speech acts, not sentences, are the primary bearers of content. François Recanati argues for the relevance of this controversy to the current debate about semantics and pragmatics. Is 'what is said' determined by linguistic conventions, or is it (...) an aspect of 'speaker's meaning'? Do we need pragmatics to fix truth-conditions? What is 'literal meaning'? To what extent is semantic composition a creative process? How pervasive is context-sensitivity? Recanati provides an original and insightful defence of 'contextualism', and offers an informed survey of the spectrum of positions held by linguists and philosophers working at the semantics/pragmatics interface. (shrink)

Donnellan famously argued that while one can fix the reference of a name with a definite description, one cannot thereby have a de re belief about the named object. All that is generated is meta-linguistic knowledge that the sentence “If there is a unique F, then N is F” is true. Donnellan’s argument and the sceptical position are extremely influential. This article aims to show that Donnellan’s argument is unsound, and that the Millian who embraces Donnellan’s scepticism that the reference-fixer (...) cannot secure the relevant de re belief faces a serious problem: Millianism about names plus scepticism about the reference-fixer’s de re belief conflicts with what seems to be an analytical thesis about the relationship between semantic content and understanding. The upshot is that the Millian has good reason to seek an alternative to scepticism. (shrink)

This paper deals with the truth-Conditions and the logic for vague languages. The use of supervaluations and of classical logic is defended; and other approaches are criticized. The truth-Conditions are extended to a language that contains a definitely-Operator and that is subject to higher order vagueness.

A semantic theory T for a language L should assign content to utterances of sentences of L. One common assumption is that T will assign p to some S of L just in case in uttering S a speaker A says that p. We will argue that this assumption is mistaken.

Are all instances of the T-schema assertable? I argue that they are not. The reason is the presence of conventional implicature in a language. Conventional implicature is meant to be a component of the rule-based content that a sentence can have, but it makes no contribution to the sentence's truth-conditions. One might think that a conventional implicature is like a force operator. But it is not, since it can enter into the scope of logical operators. It follows that the semantic (...) content of a sentence is not given simply by its truth-conditional content. So not all instances of the T-schema are assertable in the relevant sense. Consequently, there is a strong case to be made against truth-conditional semantics of the disquotational variety and deflationism about truth. (shrink)

This paper defends a purely semantic notionof what is said against various recent objections. Theobjections each cite some sort of linguistic,psychological, or epistemological fact that issupposed to show that on any viable notion of what aspeaker says in uttering a sentence, there ispragmatic intrusion into what is said. Relying on amodified version of Grice's notion, on which what issaid must be a projection of the syntax of the utteredsentence, I argue that a purely semantic notion isneeded to account for the (...) linguistically determinedinput to the hearer's inference to what, if anything,the speaker intends to be conveying in uttering thesentence. (shrink)

Grice’s distinction between what is said and what is implicated has greatly clarified our understanding of the boundary between semantics and pragmatics. Although border disputes still arise and there are certain difficulties with the distinction itself (see the end of §1), it is generally understood that what is said falls on the semantic side and what is implicated on the pragmatic side. But this applies only to what is..

Confusion in terms inspires confusion in concepts. When a relevant distinction is not clearly marked or not marked at all, it is apt to be blurred or even missed altogether in our thinking. This is true in any area of inquiry, pragmatics in particular. No one disputes that there are various ways in which what is communicated in an utterance can go beyond sentence meaning. The problem is to catalog the ways. It is generally recognized that linguistic meaning underdetermines speaker (...) meaning because of the need for disambiguation and reference assignment and because people can speak figuratively or indirectly. But philosophers and linguists are coming to recognize that these are not the only ways. The situation may be described in Gricean terms: the distinction between what is said and what is implicated is not exhaustive. Charting the middle ground between the two will require attending to specific examples, noting their distinctive features, and articulating the relevant concepts. That is what I aim to do here. The basic idea will be to distinguish not only the implied from the explicit but the implicit from the implied. (shrink)

Two-dimensional semantics is a framework that helps us better understand some of the most fundamental issues in philosophy: those having to do with the relationship between the meaning of words, the way the world is, and our knowledge of the meaning of words. This selection of new essays by some of the world's leading authorities in this field sheds fresh light both on foundational issues regarding two-dimensional semantics and on its specific applications. Contributors: Richard Breheny, Alex Byrne, David Chalmers, Martin (...) Davies, Gareth Evans, Manuel Garcia-Carpintero, Josep Maci`, Martine Nida-Rumelin, Christopher Peacocke, James Pryor, Francois Recanati, Scott Soames, Cara Spencer, Robert Stalnaker, Kai-Yee Wong, Stephen Yablo. (shrink)

Most expressions in natural language are vague. But what is the best semantic treatment of terms like 'heap', 'red' and 'child'? And what is the logic of arguments involving this kind of vague expression? These questions are receiving increasing philosophical attention, and in this book, first published in 2000, Rosanna Keefe explores the questions of what we should want from an account of vagueness and how we should assess rival theories. Her discussion ranges widely and comprehensively over the main theories (...) of vagueness and their supporting arguments, and she offers a powerful and original defence of a form of supervaluationism, a theory that requires almost no deviation from standard logic yet can accommodate the lack of sharp boundaries to vague predicates and deal with the paradoxes of vagueness in a methodologically satisfying way. Her study will be of particular interest to readers in philosophy of language and of mind, philosophical logic, epistemology and metaphysics. (shrink)

The paper defends a version of Direct Reference for indexicals on which reference-fixing material (token-reflexive conditions) plays the role of an ancillary presupposition.

By a free logic is generally meant a variant of classical first-order logic in which constant terms may, under interpretation, fail to refer to individuals in the domain D over which the bound variables range, either because they do not refer at all or because they refer to individuals outside D. If D is identified with what is assumed by the given interpretation to exist, in accord with Quine’s dictum that “to be is to be the value of a [bound] (...) variable,” then a free variation on classical semantics does not require that all constant terms refer to existents, and in this sense such terms lack existential import. (shrink)

In recent work, Williamson has defended a suggestive account of assertion. Williamson claims that the following norm or rule (the knowledge rule) is constitutive of assertion, and individuates it: (KR) One must ((assert p) only if one knows p) Williamson is not directly concerned with the semantics of assertion-markers, although he assumes that his view has implications for such an undertaking; he says: “in natural languages, the default use of declarative sentences is to make assertions” (op. cit., 258). In this (...) paper I will explore Williamson’s view from this perspective, i.e., in the light of issues regarding the semantics of assertion-markers. I will end up propounding a slightly different account, on which, rather than KR, what is constitutive and individuating of assertion is an audience-involving transmission of knowledge rule: (TKR) One must ((assert p) only if one’s audience comes thereby to be in a position to know p) I will argue that TKR, of which KR is an illocutionary consequence (but not the other way around), has all the virtues that Williamson claims for his account and no new defect. (shrink)

Followers of Wittgenstein allegedly once held that a meaningful claim to know that p could only be made if there was some doubt about the truth of p. The correct response to this thesis involved appealing to the distinction between the semantic content of a sentence and features attaching to its use. It is inappropriate to assert a knowledge-claim unless someone in the audience has doubt about what the speaker claims to know. But this fact has nothing to do with (...) the semantic content of knowledgeascriptions; it is entirely explicable by appeal to pragmatic facts about felicitous assertion. (shrink)

∗Thanks to J. C. Beall, Alex Byrne, Jason Decker, Tyler Doggett, Paul Elbourne, Adam Elga, Warren Goldfarb, Delia Graff, Richard Heck, Charles Parsons, Mark Richard, Susanna Siegel, Jason Stanley, Judith Thomson, Carol Voeller, Brian Weatherson, Ralph Wedgwood, Steve Yablo, Cheryl Zoll, and an anonymous referee for valuable comments and discussions. Versions of this material were presented in my seminar at MIT in the Fall of 2000, and at the University of Maryland, Baltimore County. Parts of this paper also derive from (...) my comments on a paper of Scott Soames at the ‘Liars and Heaps’ conference at the University of Connecticut in the Fall of 2002. I am grateful for the help of these audiences, and especially to Prof. Soames. (shrink)

One of the hottest philosophical debates in recent years concerns the nature of the semantics/pragmatics divide. Some writers have expressed the reserve that this might be merely terminological, but in my view it ultimately concerns a substantive issue with empirical implications: the scope and limits of a serious scientific undertaking, formal semantics. In this critical note I discuss two arguments by Recanati: his main methodological argument --viz. that the contents posited by what he calls 'literalists' play no relevant role in (...) communication--, and some phenomenological considerations regarding the "Availability Principle" that he appeals to in order to buttress that main argument. /// Uno de los más encarnizados debates filosóficos recientes atañe a la naturaleza de la distinción entre semántica y pragmática. Aunque algunos autores han expresado reservas en el sentido de que èste pudiera ser sólo terminológico, en mi opinión tiene que ver con una cuestión sustantiva con implicaciones empíricas: el alcance y los límites de una empresa científica seria, la semántica formal. En este texto discuto dos argumentos de Recanati: su principal argumento metodológico, que los contenidos postulados por los autores que él denomina "literalistas" no desempeñan ningùn papel relevante en la comunicación, y, en segundo lugar, ciertas consideraciones fenomenológicas en torno a su "Principio de Accesibilidad", a las cuales apela para apoyar el argumento metodológico. (shrink)