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)

Ambiguity, vagueness and metaphor are pervasive features of language, deserving of systematic study in their own right. Yet they have frequently been considered mere deviations from ideal language or obstacles to be avoided in the construction of scientific systems. First published in 1979, Beyond the Letter offers a consecutive study of these features from a philosphical point of view, providing analyses of each and treating their relations to one another. Addressed to the fundamental task of logical and semantic explanation, the (...) book employs an inscriptional methodology in the attempt to avoid prevalent forms of question-begging, and, further, in the conviction that sparseness of assumption often reveals points of theoretical interest irrespective of methodolgical preference. The author distinguishes and analyses several varieties of ambiguity, developing new semantic notions in the process; recasts the philosophical treatment of vagueness in the light of recent criticisms of analyticity; discusses the bearing of vagueness on logic; and provides a systematic critique of major recent interpretations of metaphor, developing a revised version of contextualism. (shrink)

The premises that a four foot man is short and that a man one tenth of an inch taller than a short man is also short entail by universal instantiation and "modus ponens" that a seven foot man is short. The negation of the second premise seems to entail there are virtually no borderline cases of short men, While to deny the second premise and its negation conflicts with the principle of bivalence, If not excluded middle. But the paradox can (...) be dissolved without resort to degrees of truth or any non-Classical system of logic. If some true predications can be semantically uncertain in a sense suitable for defining borderline cases, The second premise can be denied without denying the vagueness of "short" or reintroducing a sorites paradox along with higher order borderline cases. (shrink)

The five hundred years from 300 B.C. to A.D. 200 were a period during which Greek science made spectacular advances and Greek philosophy underwent dramatic changes. How much did the scientists take note of the philosophical issues bearing on their pursuits? What progress did the philosophers make with methodological and theoretical issues arising out of developments in science? What influence did philosophical criticism or philosophical ideas have on specific theories in medicine or mechanics, mathematics or astronomy? These are some of (...) the questions discussed in this series of papers by the distinguished scholars who took part in the Confe;rence Hellenistique in Paris in 1980. The result is a broad-ranging and pioneering volume which will be of importance to scholars in the history and philosophy of science and to those whose interests lie in classical philosophy. (shrink)

Sorensen here offers a unified solution to a large family of philosophical puzzles and paradoxes through a study of "blindspots": consistent propositions that cannot be rationally accepted by certain individuals even though they might by true.

The ancient semantic paradoxes were thought to undermine the rationalist metaphysics of Plato, and their modern relatives have been used by Russell and others to administer some severe logical and epistemological shocks. These are not just tricks or puzzles, but are intimately connected with some of the liveliest and most basic philosophical disputes about logical form, universals, reference and predication. Dr Cargile offers here an original and sustained treatment of this range of issues, and in fact presents an unfashionable defence (...) of a platonistic ontology. He argues that the paradoxes arise not from mistakes in classical assumptions about truth or from an ontology that includes propositions and properties, but from mistakes in describing what propositions and properties are conveyed by particular linguistic expressions. The book should interest, and may well surprise, philosophers and others concerned with semantics and the foundations of logic. (shrink)

The properties, theoretical magnitudes, and natural kinds which science seeks to characterize, and not the sense or meanings which parts of speech may possess, are the subject of this paper. Many philosophers (e.g., Putnam [1971] and Achinstein [1974]) have agreed that two predicates of different meaning may pick out the same property, but they usually hold that that logically equivalent predicates must pick out the same properties. I propose to deny this thesis. My argument is by way of an example (...) and by appeal to a principle. The principle connects propertyhood with causal efficacy. The example situation I will describe in what follows is intended to show that the property of being a closed straight-sided figure having three sides is not the same property as that of being a closed straight-sided figure having three angles (a triangle). (shrink)