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)

What sort of logic do we get if we adopt a supervaluational semantics for vagueness? As it turns out, the answer depends crucially on how the standard notion of validity as truth preservation is recasted. There are several ways of doing that within a supervaluational framework, the main alternative being between “global” construals (e.g., an argument is valid iff it preserves truth-under-all-precisifications) and “local” construals (an argument is valid iff, under all precisifications, it preserves truth). The former alternative is by (...) far more popular, but I argue in favor of the latter, for (i) it does not suffer from a number of serious objections, and (ii) it makes it possible to restore global validity as a defined notion. (shrink)

The eclipse riddle -- Seeing surfaces -- The disappearing act -- Spinning shadows -- Berkeley's shadow -- Para-reflections -- Para-refractions : shadowgrams and the black drop -- Goethe's colored shadows -- Filtows -- Holes in the light -- Black and blue -- Seeing in black and white -- We see in the dark -- Hearing silence.

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)

The main aim of this paper is to point out that Davidsonian and Fregean theories of quotation do not accommodate certain facts about disquotation. A second aim is to dispel some errors of interpretation in a common Davidsonian reading of Tarski's claims about quotation. This allows a correct exegesis of Tarski's view, which is then seen not to be affected by the arguments usually adduced against the view wrongly attributed to Tarski. Finally, a Tarskian view is proposed of some problems (...) about quotation not addressed by Tarski. (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.

Among other good things, supervaluation is supposed to allow vague sentences to go without truth values. But Jerry Fodor and Ernest Lepore have recently argued that it cannot allow this - not if it also respects certain conceptual truths. The main point I wish to make here is that they are mistaken. Supervaluation can leave truth-value gaps while respecting the conceptual truths they have in mind.

According to truth-conditional semantics, to explain the meaning of a statement is to specify the conditions necessary and sufficient for its truth. This book develops a more radical mentalist semantics by shifting the object of semantic inquiry. Classical semantics analyzes an abstract sentence or utterance such as "Grass is green"; in attitudinal semantics the object of inquiry is a propositional attitude such as "Speaker so-and-so thinks grass is green".

The Demonstrative Theory holds that quoted matter is logically external to the quoting sentence, that quotation marks are (demonstratively) referential, and that quotation marks are grammatically required for autonomous mentioning. In contrast, the Identity Theory holds that quoted matter is integral to its quoting sentence, that quotation marks serve merely as disambiguating punctuation, and that mentionings need not be quotation-marked. I support the Identity Theory by pointing out fallacies in the arguments for demonstrative theories and by considering empty quotation, ordinary (...) language as found in casual use and in novels and plays, and historical and developmental facts about quotation. (shrink)

The notes I handle no better than many pianists. But the pauses between the notes -- ah, that is where the art resides." -- Artur Schabel..