Hans Kamp

Vagueness is an ultimate challenge. An enormous diversity of literature on the topic has accumulated over the years, with no hint of a consensus emerging. In this light, Section 1 presents the main aspects of the challenge vagueness poses, focusing on the category of adjectives, and then gives some brief illustrations of the pervasive manifestations of vagueness in grammar.Section 2 deals with theSorites paradox, which for many philosophers is the hallmark of vagueness: By assigning avague predicate step by apparently inescapable step to more and more objects one is eventually led to assign it to entities of which it plainly isn’t true.It is hard to resist the force of the paradox once one has been exposed to it. The result of this has been that many see the philosophical problem presented by vagueness as nothing other than the problem of solving the Sorites.The efforts to solve the Sorites paradox have uncovered a range of important connections between vagueness and other aspects of language and thought. But most of these seem to lead further and further away from what some consider the core issues that vagueness raises.Given the challenge posed by the Sorites, it is rather remarkable to discover that there is a lot more to vagueness beyond the paradox. In fact, linguists traditionally leave it to the philosophers to deal with the Sorites and put their own efforts into dealing with other manifestations of vagueness in natural language and their consequences for grammar. Page 2 2Section 3 reviews some of these additional phenomena, centering around three issues: (i) the controversial connections between vagueness and morphological gradability, (ii) the similarity and differences between the phenomena of vagueness and imprecision, and (iii) the ways in which vagueness infiltrates various grammatical constructions we find in language, with consequences for the architecture of grammar.The aim of this section is to highlight the main questions which any theory of vagueness will ultimately have to address.

Does context and context-dependence belong to the research agenda of semantics - and, specifically, of formal semantics? Not so long ago many linguists and philosophers would probably have given a negative answer to the question. However, recent developments in formal semantics have indicated that analyzing natural language semantics without a thorough accommodation of context-dependence is next to impossible. The classification of the ways in which context and context-dependence enter semantic analysis, though, is still a matter of much controversy and some of these disputes are ventilated in the present collection. This book is not only a collection of papers addressing context-dependence and methods for dealing with it: it also records comments to the papers and the authors' replies to the comments. In this way, the contributions themselves are contextually dependent. In view of the fact that the contributors to the volume are such key figures in contemporary formal semantics as Hans Kamp, Barbara Partee, Reinhard Muskens, Nicholas Asher, Manfred Krifka, Jaroslav Peregrin and many others, the book represents a quite unique inquiry into the current activities on the semantics side of the semantics/pragmatics boundary.