This book critically examines some widespread views about the semantic phenomenon of reference and the cognitive phenomenon of singular thought. It begins with a defense of the view that neither is tied to a special relation of causal or epistemic acquaintance. It then challenges the alleged semantic rift between definite and indefinite descriptions on the one hand, and names and demonstratives on the other—a division that has been motivated in part by appeals to considerations of acquaintance. Drawing on recent work (...) in semantics, the book explores a more unified account of all four types of expression, according to which none of them paradigmatically fits the profile of a referential term. On the proposed framework, all four involve existential quantification but admit of uses that exhibit many of the traits associated with reference—a phenomenon that is due to the presence of what we call a ‘singular restriction’ on the existentially quantified domain. The book concludes by drawing out some implications of the proposed semantic picture for the traditional categories of reference and singular thought. (shrink)

If you’ve read the first five hundred pages of this book, you’ve read most of it (we assume that ‘most’ requires more than ‘more than half’). The set of natural numbers n such that the first n pages are most of this book is nonempty. Therefore, by the least number principle, it has a least member k. What is k? We do not know. We have no idea how to find out. The obstacle is something about the term ‘most’. It (...) is recognisably the same feature as the feature of ‘heap’ that prevents us from finding an answer to the question ‘How many grains make a heap?’ and the feature of many other expressions that prevents us from finding answers to similar questions involving them. Call this feature, whatever its underlying nature, vagueness. (shrink)

I propose that the meanings of vague expressions render the truth conditions of utterances of sentences containing them sensitive to our interests. For example, 'expensive' is analyzed as meaning 'costs a lot', which in turn is analyzed as meaning 'costs significantly greater than the norm'. Whether a difference is a significant difference depends on what our interests are. Appeal to the proposal is shown to provide an attractive resolution of the sorites paradox that is compatible with classical logic and semantics.

Contents: Preface VII; Introduction 1; 1. The General Framework 5; 2. Some Standard Systems 61; 3. Systems in General 147; 4. Non-Standard Systems 177; Bibliography 210; General Index 215; Index of Symbols 219-220.

The paper challenges Williamson’s safety based explanation for why we cannot know the cut-off point of vague expressions. We assume throughout (most of) the paper that Williamson is correct in saying that vague expressions have sharp cut-off points, but we argue that Williamson’s explanation for why we do not and cannot know these cut-off points is unsatisfactory. -/- In sect 2 we present Williamson's position in some detail. In particular, we note that Williamson's explanation relies on taking a particular safety (...) principle ('Meta-linguistic belief safety' or 'MBS') as a necessary condition on knowledge. In section 3, we show that even if MBS were a necessary condition on knowledge, that would not be sufficient to show that we cannot know the cut-off points of vague expressions. In section 4, we present our main case against Williamson's explanation: we argue that MBS is not a necessary condition on knowledge, by presenting a series of cases where one's belief violates MBS but nevertheless constitutes knowledge. In section 5, we present and respond to an objection to our view. And in section 6, we briefly discuss the possible directions a theory of vagueness can take, if our objection to Williamson's theory is taken on board. (shrink)

I attempt to accommodate the phenomenon of vagueness with classical logic and bivalence. I hold that for any vague predicate there is a sharp cut-off between the things that satisfy it and the things that do not; I claim that this is due to the greater naturalness of one of the candidate meanings of that predicate. I extend the thought to the problem of the many and Benacerraf cases. I go on to explore the idea that it is ontically indeterminate (...) what the most natural meanings are, and hence ontically indeterminate where the sharp cut-off in a sorites series is. (shrink)

This article is a clarification of different procedures in natural deduction: universal instantiation, Universal generalisation, Existential generalisation, And existential instantiation. The author discusses rules concerning universal generalisation from copi's "symbolic logic". (staff).

The central thesis of the book is that the proposition a vague sentence expresses in a borderline case is true or false, and we cannot know which. We are ignorant of its truth-value. This is the epistemic view of vagueness. It allows us to preserve both classical logic and disquotational principles about truth and falsity, with all their advantages: simplicity, clarity, power, past success, integration with well-confirmed theories in other domains. Consequently, the epistemic view has a head start over its (...) rivals. The gap is widened by each rival theory's specific disadvantages, many of them related to higher-order vagueness. The epistemic view is then strengthened by an explanation of our ignorance in borderline cases. The explanation predicts higher order vagueness. (shrink)