BLOCKING THE PATH FROM VAGUENESS TO FOUR DIMENSIONALISM*

There is a general form of an argument which I call the ‘argument from vagueness’ which attempts to show that objects persist by perduring, via the claim that vagueness is never ontological in nature and thus that composition is unrestricted. I argue that even if we grant that vagueness is always the result of semantic indeterminacy rather than ontological vagueness, and thus also grant that composition is unrestricted, it does not follow that objects persist by perduring. Unrestricted mereological composition lacks the power to ensure that there exist instantaneous objects that wholly overlap persisting objects at times, and thus lacks the power to ensure that there exists anything that could be called a temporal part. Even if we grant that such instantaneous objects exist, however, I argue that it does not follow that objects perdure. To show this I briefly outline a coherent version of three dimensionalism that grants just such an assumption. Thus considerations pertaining to the nature of vagueness need not lead us inevitably to accept perdurantism.     

Lewis,Change and Temporary Intrinsics

This is an attempt to sort out what is it that makes many of us uncomfortable with the perdurantist solution to the problem of change. Lewis argues that only perdurantism can reconcile change with persistence over time, while neither presentism nor endurantism can. So, first, I defend the endurantist solution to the problem of change, by arguing that what is relative to time are not properties, but their possession. Second, I explore the anti-perdurantist strategy of arguing that Lewis cannot solve the problem of change, for he cannot account for how some properties are possessed by objects in time. However, I argue that this strategy fails, for if by saying that objects in time can have properties ‘timelessly’ we mean “at no particular time” and “tenselessly”, only objects outside time can have properties in that way; but if we mean “for all the time they exist”, or “essentially”, perdurantists can account for this. Finally, I argue that actually perdurantism cannot solve the problem, but for different reasons: for either it sweeps the problem under the carpet, denying change, and in general subverting our conceptual scheme in a dangerous way, or it becomes equivalent to the endurantist picture that properties are had at times. Nor perdurantism is justified by the Relativity Theory or the B-theory of time, because while endurantism is certainly comfortable with presentism, it need not be committed to it; and even if it were, presentism need not be refuted by the Relativity Theory.     

Unrestricted Quantification and the Structure of Type Theory

Semantic theories based on a hierarchy of types have prominently been used to defend the possibility of unrestricted quantification. However, they also pose a prima facie problem for it: each quantifier ranges over at most one level of the hierarchy and is therefore not unrestricted. It is difficult to evaluate this problem without a principled account of what it is for a quantifier to be unrestricted. Drawing on an insight of Russell's about the relationship between quantification and the structure of predication, we offer such an account. We use this account to examine the problem in three different type-theoretic settings, which are increasingly permissive with respect to predication. We conclude that unrestricted quantification is available in all but the most permissive kind of type theory.     

Endurantism vs. Perdurantism?: A Debate Reconsidered

One of the central debates in contemporary metaphysics has been the debate between endurantism and perdurantism about persistence. In this paper I argue that much of this debate has been misconstrued: most (if not all) of the arguments in the debate crucially rely on theses which are strictly orthogonal to the endurantism/perdurantism debate. To show this, I note that the arguments in the endurantism/perdurantism debate typically take the following form: one presents a challenge that endurantists (/perdurantists) allegedly have some trouble addressing, and to which perdurantism (/endurantism) apparently has a straightforward response. I argue, however, that in each case, there are versions of endurantism (/perdurantism) that can offer precisely the same (or at least a highly analogous) response to the challenge, and thus the ability to provide this particular solution does not directly tell in favour of one the two views. In §1, I elaborate two views which will be particularly prominent in the discussion: liberal endurantism and restrictive perdurantism. In §2–6 I discuss in turn the central pro‐perdurantism arguments: the argument from anthropocentricism, the argument from vagueness, the argument from recombination, the argument from temporary intrinsics, and the argument from coincidence. In §7–8, I discuss the main pro‐endurantism arguments: the arguments from motion, and the argument from permanent coincidence. Finally, in §9, I discuss what conclusion can be drawn from this discussion.     

Talking About a Universalist World

The paper defends a combination of perdurantism with mereological universalism by developing semantics of temporary predications of the sort ’some P is/was/will be (a) Q’. We argue that, in addition to the usual application of causal and other restrictions on sortals, the grammatical form of such statements allows for rather different regimentations along three separate dimensions, according to: (a) whether ‘P’ and ‘Q’ are being used as phase or substance sortal terms, (b) whether ‘is’, ‘was’, and ‘will be’ are the ‘is’, ‘was’, ‘will be’ of identity or of constitution, and (c) whether ‘Q’ is being used as a subject or predicate term. We conclude that this latitude is beneficial, as it conforms with linguistic reality (i.e., the multiple uses actually in place) and also enables one to turn what is ordinarily perceived as a problem for universalist perdurantism viz., a commitment to all sorts of weird and gerrymandered temporally extended entities, into an advantage, for the richness in questions allows us to make sense of the many different readings of sentences of the same grammatical form.     

Absolutely general knowledge*

There is extensive debate among contemporary philosophers about the possibility of absolutely unrestricted quantification; thus far, the debate been almost entirely logically and metaphysically focused. We argue for a third axis of evaluation: the epistemological. We defend absolutism on epistemological grounds, by showing that one prominent and attractive alternative to absolutism—schematism—is epistemologically unacceptable. First, we spell out and motivate an epistemological desideratum for theories of generality, a desideratum which is easily satisfied by absolutists. Second, we consider five ways the schematist might satisfy this desideratum. We argue that none of the five ways is successful.     

Time for Change

Metaphysical theories of change incorporate substantive commitments to theories of persistence. The two most prominent classes of such theories are endurantism and perdurantism. Defenders of endurancestyle accounts of change, such as Klein, Hinchliff, and Oderberg, do so through appeal to a priori intuitions about change. We argue that this methodology is understandable but mistaken—an adequate metaphysics of change must accommodate all experiences of change, not merely intuitions about a limited variety of cases. Once we examine additional experiences of change, particularly those in (special) relativistic circumstances, it becomes clear that only a perdurance account of change is adequate.     

Paraconsistent vagueness: a positive argument

Paraconsistent approaches have received little attention in the literature on vagueness (at least compared to other proposals). The reason seems to be that many philosophers have found the idea that a contradiction might be true (or that a sentence and its negation might both be true) hard to swallow. Even advocates of paraconsistency on vagueness do not look very convinced when they consider this fact; since they seem to have spent more time arguing that paraconsistent theories are at least as good as their paracomplete counterparts, than giving positive reasons to believe on a particular paraconsistent proposal. But it sometimes happens that the weakness of a theory turns out to be its mayor ally, and this is what (I claim) happens in a particular paraconsistent proposal known as subvaluationism. In order to make room for truth-value gluts subvaluationism needs to endorse a notion of logical consequence that is, in some sense, weaker than standard notions of consequence. But this weakness allows the subvaluationist theory to accommodate higher-order vagueness in a way that it is not available to other theories of vagueness (such as, for example, its paracomplete counterpart, supervaluationism).     

Vagueness and Naturalness

I attempt to accommodate the phenomenon of vagueness with classical logic and bivalence. I hold that for any vague predicate there is a sharp cut-off between the things that satisfy it and the things that do not; I claim that this is due to the greater naturalness of one of the candidate meanings of that predicate. I extend the thought to the problem of the many and Benacerraf cases. I go on to explore the idea that it is ontically indeterminate what the most natural meanings are, and hence ontically indeterminate where the sharp cut-off in a sorites series is.     

Supervaluations and the Problem of the Many

Supervaluational treatments of vagueness are currently quite popular among those who regard vagueness as a thoroughly semantic phenomenon. Peter Unger's 'problem of the many' may be regarded as arising from the vagueness of our ordinary physical-object terms, so it is not surprising that supervaluational solutions to Unger's problem have been offered. I argue that supervaluations do not afford an adequate solution to the problem of the many. Moreover, the considerations I raise against the supervaluational solution tell also against the solution to the problem of the many which is suggested by adherents of the epistemic theory of vagueness.     

AN ARGUMENT FOR THE MANY

If one believes vagueness to be an exclusively representational phenomenon, one faces the problem of the many: in the vicinity of Kilimanjaro, there are many 'mountain-candidates', all, apparently, with more or less equal claim to be mountains. David Lewis has defended a radical claim: that all these billions of mountain-candidates are mountains. I argue that the supervaluationist about vagueness should adopt Lewis's proposal, on pain of losing their best explanation of the seductiveness of the sorites paradox.     

Margins for Error: A Reply

I address Peter Mott's 'Margins for Error and the Sorites Paradox' ( The Philosophical Quarterly , 48 (1998), pp. 494–503). Mott criticizes my account of inexact knowledge, on which it satisfies margin for error principles of the form 'If one knows in a given case, one avoids false belief in sufficiently similar cases'. Mott's arguments are shown to be fallacious because they ignore the fact that our knowledge of inexact knowledge is itself inexact. In the examples discussed, the first-level inexact knowledge is perceptual. Since my defence of an epistemicist theory of vagueness explains our ignorance of truth-values in borderline cases as the result of knowledge the inexactness of which has a conceptual source, the paper also contributes to the defence of epistemicism about vagueness.     

TRANSVALUATIONISM ABOUT VAGUENESS: A PROGRESS REPORT

The philosophical account of vagueness I call “transvaluationism” makes three fundamental claims. First, vagueness is logically incoherent in a certain way: it essentially involves mutually unsatisfiable requirements that govern vague language, vague thought‐content, and putative vague objects and properties. Second, vagueness in language and thought (i.e., semantic vagueness) is a genuine phenomenon despite possessing this form of incoherence—and is viable, legitimate, and indeed indispensable. Third, vagueness as a feature of objects, properties, or relations (i.e., ontological vagueness) is impossible, because of the mutually unsatisfiable conditions that such putative items would have to meet. In this paper I set forth the core claims of transvaluationism in a way that acknowledges and explicitly addresses a challenging critique by Timothy Williamson of my prior attempts to articulate and defend this approach to vagueness. I sketch my favored approach to truth and ontological commitment, and I explain how it accommodates the impossibility of ontological vagueness. I argue that any approach to the logic and semantics of vagueness that both (i) eschews epistemicism and (ii) thoroughly avoids positing any arbitrary sharp boundaries (either first‐order or higher‐order) will have to be not an alternative to transvaluationism but an implementation of it. I sketch my reasons for repudiating epistemicism. I briefly describe my current thinking about how to accommodate intentional mental properties with vague content within an ontology that eschews ontological vagueness. And I revisit the idea, which played a key role in my earlier articulations of transvaluationism, that moral conflicts provide an illuminating model for understanding vagueness.     

Varieties of Vagueness*

According to one account, vagueness is “metaphysical.” the friend of metaphysical vagueness believes that, for some object and some property, there can be no determinate fact of the matter whether that object exemplifies that property. A second account maintains that vagueness is due only to ignorance. According to the epistemic account, vagueness is explained completely by and is nothing over and above our not knowing some relevant fact or facts. These are the minority views. the dominant position maintains that there is a third possible variety of vagueness, linguistic vagueness. And, it goes on to insist, all vagueness is of this third variety. I shall argue, however, that linguistic vagueness is not a third variety of vagueness. Either it is a species of metaphysical vagueness or a kind of ignorance. and this, I argue, makes trouble for the claim that all vagueness is linguistic.     

I—Stewart Shapiro

ABSTRACT After a brief account of the problem of higher-order vagueness, and its seeming intractability, I explore what comes of the issue on a linguistic, contextualist account of vagueness. On the view in question, predicates like'borderline red'and'determinately red'are, or at least can be, vague, but they are different in kind from'red'. In particular,'borderline red'and'determinately red'are not colours. These predicates have linguistic components, and invoke notions like'competent user of the language'. On my view, so-called'higher-order vagueness'is actually ordinary, first-order vagueness in different predicates. I explore the possibility that, nevertheless, a pernicious regress ensues.     

How Coincidence Bears on Persistence

The ‘paradoxes of coincidence’ are generally taken as an important factor for deciding between rival views on persistence through time. In particular, the ability to deal with apparent cases of temporary coincidence is usually regarded as a good reason for favouring perdurantism (or ‘four-dimensionalism’) over endurantism (or ‘three-dimensionalism’). However, the recent work of Gilmore (2007) and McGrath (2007) challenges this standard view. For different reasons, both Gilmore and McGrath conclude that perdurantism does not really obtain support from the puzzles of temporary coincidence. In this paper, I will evaluate their arguments and defend the opposite view: that the paradoxes of coincidence do give some support to perdurantism. However, the way in which they do so is rather unexpected. As we will see, there are different ways in which coincidence scenarios may be thought to support perdurantism, some of which have not yet been sufficiently explored. Thus, my immediate goal is to explore one of those directions, bringing into focus a new argument from coincidence to perdurantism. And although I motivate my discussion by examining the arguments in the work of Gilmore and McGrath, the merits of this argument can be independently assessed. More generally, my overall purpose is to contribute to our general understanding of how the topics of coincidence and persistence bear on each other.     

The particularity and phenomenology of perceptual experience

I argue that any account of perceptual experience should satisfy the following two desiderata. First, it should account for the particularity of perceptual experience, that is, it should account for the mind-independent object of an experience making a difference to individuating the experience. Second, it should explain the possibility that perceptual relations to distinct environments could yield subjectively indistinguishable experiences. Relational views of perceptual experience can easily satisfy the first but not the second desideratum. Representational views can easily satisfy the second but not the first desideratum. I argue that to satisfy both desiderata perceptual experience is best conceived of as fundamentally both relational and representational. I develop a view of perceptual experience that synthesizes the virtues of relationalism and representationalism, by arguing that perceptual content is constituted by potentially gappy de re modes of presentation.     

The Problem of Ethical Vagueness for Expressivism

Ethical vagueness has garnered little attention. This is rather surprising since many philosophers have remarked that the science of ethics lacks the precision that other fields of inquiry have. Of the few philosophers who have discussed ethical vagueness the majority have focused on the implications of vagueness for moral realism. Because the relevance of ethical vagueness for other metaethical positions has been underexplored, my aim in this paper is to investigate the ramifications of ethical vagueness for expressivism. Ultimately, I shall argue that expressivism does not have the resources to adequately account for ethical vagueness, while cognitivism does. This demonstrates an advantage that cognitivism holds over expressivism.     

PRESENTISM,PERSISTENCE AND COMPOSITION

Pace Benovsky's ‘Presentism and Persistence,’ presentism is compatible with perdurantism, tropes and bundle‐of‐universals theories of persisting objects. I demonstrate how the resemblance, causation and precedence relations that tie stages together can be accommodated within an ersatzer presentist framework. The presentist account of these relations is then used to delineate a presentist‐friendly account of the inter‐temporal composition required for making worms out of stages. The defense of presentist trope theory shows how properties with indexes other than t may be said to exist at t. This involves an account of how times other than t exist at t, and how times may be multiply located at any given time. Benovsky's objection to bundles of universals is shown to assume that a bundle of properties must have the properties of its element properties.