Diana Raffman

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).