Diana Raffman

The goal of this book is to defend a supervaluationist theory of vagueness. Keefe begins by laying out a series of desiderata for an adequate theory of vagueness generally: among other things, such a theory will need to solve the sorites paradox, provide a plausible analysis of borderline cases, preserve so-called penumbral connections among borderline predications, accommodate the phenomenon of higher-order vagueness, and comport with as many of our ordinary linguistic intuitions as possible. She then proceeds to evaluate in turn each of the main competitors to a supervaluationist theory—including epistemic, many-valued, degree-theoretic, and pragmatic accounts—in light of these desiderata, and finds each seriously lacking. Having thus cleared the ground, she advances a version of the supervaluationist approach and replies to a number of potential objections.

Modality, morality and belief are among the most controversial topics in philosophy today, and few philosophers have shaped these debates as deeply as Ruth Barcan Marcus. Inspired by her work, a distinguished group of philosophers explore these issues, refine and sharpen arguments and develop new positions on such topics as possible worlds, moral dilemmas, essentialism, and the explanation of actions by beliefs. This 'state of the art' collection honours one of the most rigorous and iconoclastic of philosophical pioneers.

This paper explores the implications of some experimental data for views that identify colors with objective physical properties such as reflectance profiles. Those who reject objectivist views often argue from the existence of intersubjective differences in color categorization ; but objectivists have managed to stand their ground by identifying colors with sets or ranges of reflectances individuated by the ways in which they stimulate the visual system. In the interest of moving the debate forward, I provide a new kind of evidence against objectivism. Results of a psycholinguistic experiment reveal hysteresis and enhanced contrast in ordinary speakers’ applications of vague terms. These dynamical patterns are purely psychological and give rise to intra-subjective variation in subjects’ applications of vague predicates; in particular, in the case of color predicates, nothing in the stimulus configuration or the illuminant undergoes any change, the only variable being the order in which stimuli are judged. I hypothesize that these order effects are necessary if vague words are to be applicable to values on dimensions, like color, that admit of continuous change. To the extent that this hypothesis is correct, it suggests that if colors are the properties named by ordinary color predicates, and ordinary color predicates are vague, and the application of vague predicates exhibits the order effects found in the experiment, colours cannot be physical or otherwise objective in nature.

This paper develops the treatment of vague predicates begun in my "Vagueness Without Paradox" (Philosophical Review 103, 1 [1994]). In particular, I show how my account of vague words dissolves an "eternal" version of the sorites paradox, i.e., a version in which the paradox is generated independently of any particular run of judgments of the items in a sorites series. In so doing I refine the notion of an internal contest, introduced in the earlier paper, and draw a distinction within the class of internal contexts between contexts of judgment and contexts of consideration

The thesis develops a cognitivist account of the supposed ineffability of musical experience. It is contended that, when the ineffability is viewed as adhering to a certain kind of perceptual knowledge of a musical signal, its nature can be illuminated by the adoption of a recent cognitivist theory of perception in conjunction with a generative grammar for tonal music . On this two-headed view, music perception consists in a rule-governed process of computing a series of increasingly abstract mental representations of a musical signal. In this framework the investigation of musical ineffability is recast as the search for a level of mental representation of whose content we are conscious but cannot make verbal report. Two types of report are distinguished--one consisting in so-called absolute identification, the other in comparative identification or discrimination. It turns out that certain features of the signal are likely to be computed at such superficial or "shallow" neuronal levels that they fail to be mentally categorized in the manner thought necessary for the learning of verbal labels and ipso facto for report of the first kind. Therein, on the present account, lies their ineffability, called 'perceptual ineffability'. These shallow features do, however, admit of comparative identification and ipso facto of the second kind of report. Hence a principal task of the thesis is to show how a kind of ineffability and a kind of report are compatible. ;The account of perceptual ineffability is then set against two well-known texts in contemporary philosophy of art in order to show that it squares with more standard approaches and makes good on its explanatory promises. It is hoped that, over and above its proposed solution to a longstanding problem in aesthetics, the present study may shed some light on the relationship between philosophical and scientific theorizing

Of the many families of words that are thought to be vague, so-called observational predicates may be both the most fascinating and the most confounding. Roughly, observational predicates are terms that apply to objects on the basis of how those objects appear to us perceptually speaking. ‘Red’, ‘loud’, ‘sweet’, ‘acrid’, and ‘smooth’ are good examples. Delia Graff explains that a “predicate is observational just in case its applicability to an object (given a fixed context of evaluation) depends only on the way that object appears” (2001, 3). By the same token observational predicates are, as Crispin Wright observes, terms “whose senses are taught entirely by ostension” (1976). Like other vague predicates, observational words appear to generate sorites paradoxes. Consider for example a series of 20 colored patches progressing from a clearly red one to a clearly orange one, so ordered that each patch is just noticeably different in hue from the one before. The following argument then seems forced upon us: (1) Patch #1 is red. (2) Any patch that differs only slightly in hue from a red patch is itself red. (3) Therefore patch #20 is red. Premise (2) expresses what Wright has called the tolerance of ‘red’: the application of the predicate tolerates small changes in a decisive parameter (here, hue). Of course, most vague predicates, hence most versions of the sorites, are not observational. For instance, given a series of.

Worries about the artistic integrity (for lack of a better term) of twelve-tone music are not new. Critics, philosophers, musicians, even composers them- selves have assailed the idiom with a fervor usually reserved for individual artists or works. Just why it is supposed to be defective is not entirely clear, however. I want to revisit these questions by way of putting some insights from music history and theory together with some insights from the philosophy and psychology of music. To find out whether twelve-tone composition is defective we will need to reflect carefully upon our concepts of music and art in general, so if all goes well our conclusions should have some broader import. Because I will be pulling together considerations from several domains, I will need to lay a fair amount of groundwork at the beginning; but once that is done, we will have a vantage on the present issues that would not otherwise be open to us.

Higher-order vagueness is widely thought to be a feature of vague predicates that any adequate theory of vagueness must accommodate. It takes a variety of forms. Perhaps the most familiar is the supposed existence, or at least possibility, of higher-order borderline cases—borderline borderline cases, borderline borderline borderline cases, and so forth. A second form of higherorder vagueness, what I will call ‘prescriptive’ higher-order vagueness, is thought to characterize complex predicates constructed from vague predicates by attaching operators having to do with the predicates’ proper application. For example, the predicates ‘mandates application of “old”’ and ‘can competently be called “old”’ are prescriptively higher-order vague. Higher-order vagueness appears in other guises as well,1 but these two have been of particular interest to philosophers and will be my target here. I want to expose some misconceptions about them. If I am right, higher-order vagueness is less prevalent, and less important theoretically, than is usually supposed.2 In what follows I am going to assume that vagueness is a semantic feature of natural language. For the most part I won’t discuss epistemic or pragmatic views, and I will say nothing about so-called metaphysical vagueness.

Representationalist solutions to the qualia problem are motivated by two fundamental ideas: first, that having an experience consists in tokening a mental representation1; second, that all one is aware of in having an experience is the intentional content of that representation. In particular, one is not aware of any intrinsic features of the representational vehicle itself. For example, when you visually experience a red object, you are aware only of the redness of the object, not any redness or red quale of your experience. You are aware of outer red without being aware of inner red. According to the representationalist, the phenomenal character of your experience is just (an element of) the intentional content of your representation. In effect, inner red just is outer red. For her part, the defender of qualia, or anyway the defender of qualia who will figure in the present discussion, grants that experiencing a red object involves mentally representing it, and that when you have such an experience you are aware of its intentional content. But she denies that that intentional content exhausts your awareness. The defender of qualia (call her ‘Quale’) contends that your mental vehicle is itself mentally or phenomenally red, and that in addition to the outer redness of the object, you are aware of this inner redness, the intrinsic phenomenal character of your representational vehicle. Thus, contra the representationalist (call him ‘Rep’), you are not aware of the content of your representation without being aware of its intrinsic features

It is generally agreed that vague predicates like ‘red’, ‘rich’, ‘tall’, and ‘bald’, have borderline cases of application. For instance, a cloth patch whose color lies midway between a definite red and a definite orange is a borderline case for ‘red’, and an American man five feet eleven inches in height is (arguably) a borderline case for ‘tall’. The proper analysis of borderline cases is a matter of dispute, but most theorists of vagueness agree at least in the thought that borderline cases for vague predicate ‘ ’ are items whose satisfaction of ‘ ’ is in some sense unclear or problematic: it is unclear whether or not the patch is red, unclear whether or not the man is tall.1 For example, Lynda Burns cites a widespread view as holding that borderline cases “are not definitely within the positive or negative extension of the predicate. … Border- line cases are seen as falling within a gap between the cases of definite application of the predicate and cases of definite application of its negation” (1995, 30). Michael Tye writes that the “concept of a border- line case is the concept of a case that is neither definitely in nor defi- nitely out” (1994b, 18).