A problem for predicativism solved by predicativism

Consider the following sentences: In every race, the colt won; In every race, John won.John Hawthorne and David Manley say that the difference between these two sentences raises a problem for Predicativism about names. According to the currently more standard version of Predicativism, a bare singular name in argument position, like ‘John’ in , is embedded in a definite description with an unpronounced definite article. The problem is supposed to be that permits a covarying reading that allows for different races to have been won by different colts, while does not permit a covarying reading—it can be true only if there is a single John that won every race. But, the objection runs, if the name ‘John’ is really embedded in a definite description with an unpronounced definite article, then the two sentences are structurally parallel and should not differ with respect to covariation. Appealing to Jason Stanley's ‘Nominal Restriction’ , I show that the difference between the two sentences above not only does not raise a problem for Predicativism but also is actually predicted by i

Descriptions as predicates

Although Strawson’s main aim in “On Referring ” was to argue that definite descriptions can be used referentially – that is, “to mention or refer to some individual person or single object..., in the course of doing what we should normally describe as making a statement about that person [or] object ” (1950, p. 320) – he denied that def-inite descriptions are always used referentially. The description in ‘Napoleon was the greatest French soldier ’ is not used referentially, says Strawson, since it is used not to mention an individual, but only “to say something about an individual already mentioned ” (p. 320). This is an example of what we may call a predicative use of a definite description, though such uses might be better illustrated by considering the false sentence (1) Washington was the greatest French soldier and noting that, unlike (2) Washington met the greatest French soldier, (1) is not about both Washington and someone else, but like (3) Washington was very short, about Washington only. The description in (1) is not “used to men-tion an individual, ” but only to say something about Washington. Strawson thought that predicative uses of definite descriptions would require a different account from referential ones. His reason presumably was this: if the description in (1) is used just to say something about Washington – to attribute a certain property to him – then (1) is false just in case Washington lacks that property. One way for Washington to lack the property attributed to him in (1

Gap Principles, Penumbral Consequence, and Infinitely Higher-Order Vagueness

Philosophers disagree about whether vagueness requires us to admit truth-value gaps, about whether there is a gap between the objects of which a given vague predicate is true and those of which it is false on an appropriately constructed sorites series for the predicate---a series involving small increments of change in a relevant respect between adjacent elements, but a large increment of change in that respect between the endpoints. There appears, however, to be widespread agreement that there is some sense in which vague predicates are gappy which may be expressed neutrally by saying that on any appropriately constructed sorites series for a given vague predicate there will be a gap between the objects of which the predicate is denitely true and those of which it is denitely false. Taking as primitive the operator ‘it is denitely the case that’, abbreviated as ‘D’, we may stipulate that a predicate F is denitely true (or denitely false) of an object just in case ‘DF (a)’, where a is a name for the object, is true (or false) simpliciter.1 This yields the following conditional formulation of a ‘gap principle’: (D Φ (x) ∧ D¬ Φ (y)) → ¬R(x, y). Here ‘ Φ ’ is to be replaced with a vague predicate, while ‘R’ is to stand for a sorites relation for that predicate: a relation that can be used to construct a sorites series for the predicate---such as the relation of being just one millimetre shorter than for the predicate ‘is tall’. Disagreements about the sense in which it is correct to say that vague predicates are gappy can then be recast as disagreements about how to understand the denitely operator. One might give it, for example, a pragmatic construal such as ‘it would not be misleading to assert that’; or an epistemic construal such as ‘it is known that’ or ‘it is knowable that’; or a semantic construal such as ‘it is true that

Desires, Scope, and Tense

According to James McCawley (1981) and Richard Larson and Gabriel Segal (1995), the following sentence is three-ways ambiguous: Harry wants to be the mayor of Kenai. According to them also, the three-way ambiguity cannot be accommodated on the Russellian view that definite descriptions are quantified noun phrases. In order to capture the three-way ambiguity of the sentence, these authors propose that definite descriptions must be ambiguous: sometimes they are predicate expressions; sometimes they are Russellian quantified noun phrases. After explaining why the McCawley-Larson-Segal solution contains an obvious flaw, I discuss how an effort to correct the flaw brings to light certain puzzles about the individuation of desires, about quantifying in, and about the disambiguation of desire ascriptions

Truth in a Region

In this paper I criticize a version of supervaluation semantics. This version is called "Region-Valuation" semantics. It's developed by Pablo Cobreros. I argue that all supervaluationists, regionalists in particular, and truth-value gap theorists of vagueness more generally, are commited to the validity of D-intro, the principle that every sentence entails its definitization (the truth of "Paul is tall" guarantees the truth of "Paul is definitely tall"). The principle embroils one in a paradox that's distinct from, but related to, the sorites paradox. I call it the "gap-principles paradox"

Shifting sands: An interest relative theory of vagueness

I propose that the meanings of vague expressions render the truth conditions of utterances of sentences containing them sensitive to our interests. For example, 'expensive' is analyzed as meaning 'costs a lot', which in turn is analyzed as meaning 'costs significantly greater than the norm'. Whether a difference is a significant difference depends on what our interests are. Appeal to the proposal is shown to provide an attractive resolution of the sorites paradox that is compatible with classical logic and semantics