Vague Objects with Sharp Boundaries

In this article I shall consider two seemingly contradictory claims: first, the claim that everybody who thinks that there are ordinary objects has to accept that they are vague, and second, the claim that everybody has to accept the existence of sharp boundaries to ordinary objects. The purpose of this article is of course not to defend a contradiction. Indeed, there is no contradiction because the two claims do not concern the same ‘everybody’. The first claim, that all ordinary objects are vague, is a claim that stems both from common sense intuitions as well as from various types of ontologies of ordinary objects. This puts then pressure on theories of vagueness to account for the vague nature of ordinary objects – but, as we shall see, all theories of vagueness have to accept the existence of sharp thresholds. This is obvious in the case of epistemicism, and it is a well‐known defect of supervaluationism, but as we will see friends of metaphysical vagueness do have to endorse the existence of sharp thresholds in their theory as well. Consequently, there are reasons for dissatisfaction with these accounts, since they do not seem to be able to do the job we asked them to do. 1     

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.     

Causal decision theory

On the dominant view of vagueness, if it is vague whether Harry is bald, then it is unsettled, not merely epistemically, but metaphysically, whether Harry is bald. In other words, vagueness is a type of indeterminacy. On the standard alternative, vagueness is a type of ignorance: if it is vague whether Harry is bald, then, even though it is metaphysically settled whether Harry is bald, we cannot know whether Harry is bald. On my view, vagueness is neither a type of indeterminacy nor a type of ignorance. Rather, it is sui generis.     

Intransitivity and Vague Preferences

This paper is concerned with intransitivity in normative rational choice. It focuses on a class of intransitivities which have received little attention, those involving vague preferences. “Vague preferences” are defined in terms of vague predicates such as “red” or “bald.” Such preferences appear common, and intransitive indifference is argued to be an unavoidable feature of them. Such preferences are argued to undermine intransitive strict preference also. Various formal theories of vagueness are applied to an example of vague preferences, but none of them provide a justification for the transitivity axiom. For helpful comments on earlier drafts and discussions of this material, I am very grateful to John Broome, Rosanna Keefe, Matthew Kramer, Stuart Rachels, Jochen Runde and Adrian Walsh. I owe a large debt to John O’Neill, who suggested an earlier version of the “Tragedy of the Disappearing Commons” example.     

Vagueness and Margin for Error Principles*

Timothy Williamson's potentially most important contribution to epistemicism about vagueness lies in his arguments for the basic epistemicist claim that the alleged cut‐off points of vague predicates are not knowable. His arguments for this are based on so‐called ‘margin for error principles’. This paper argues that these principles fail to provide a good argument for the basic claim. Williamson has offered at least two kinds of margin for error principles applicable to vague predicates. A certain fallacy of equivocation (on the meaning of ‘knowable’) seems to underlie his justification for both kinds of principles. Besides, the margin for error principles of the first kind can be used in the derivation of unacceptable consequences, while the margin for error principles of the second kind can be shown to be compatible with the falsity of epistemicism, under a number of assumptions acceptable to the epistemicist.     

“It Can Happen to You”: Rape Prevention in the Age of Risk Management

This essay provides a critical analysis of rape prevention since the 1980s. I argue that we must challenge rape prevention's habitual reinforcement of the notion that fear is a woman's best line of defense. 1 suggest changes that must be made in the anti‐rape movement if we are to move past fear. Ultimately, I raise the question of what, if not vague threats and scare tactics, constitutes prevention.     

Solving the Heap

The present offers a pragmatic solution of the Heap Paradox, based on the idea that vague predicates are “indexical” in the sense that their denotation does not only depend on the context of their use, but it is a function of the context. The analysis is based on the following three claims. The borderlines of vague terms are undetermined in the sense that though they may be determined in some contexts, they may differ from one context to the next. Vagueness serves the important communicative function, enabling speakers to identify entities as objects (as things we can talk about) in terms of some quantitative differences between the “object” and its background in the context. Thus, in some contexts we can naturally partition the group of men uniquely so as to distinguish the bald from the not-bald. Whether a man with a given hair number is among the bald in a given context depends not only on his own hair number but also on the hair number of others in that context. This provides the background for the claim that when we assert that John is bald, we presuppose that there is a unique demarcation to the bald in that context. I consider the truth of the Paradox’s statements in contexts where the presupposition is true and in contexts where it is false. The analysis yields that the contradiction is avoided because though each of the statements is often true, never are all the sentences in the Paradox true together.     

A Partial Defense of Permissivism

Permissivism is the view that sometimes an agent's total evidential state entails both that she is epistemically permitted to believe that P and that she is epistemically permitted to believe that Q, where P and Q are contradictories. Uniqueness is the denial of Permissivism. Permissivism has recently come under attack on several fronts. If these attacks are successful, then we may be forced to accept an unwelcome asymmetry between epistemic and practical rationality. In this essay I clarify the debate by distinguishing two versions (each) of Permissiveness and Uniqueness. I then respond to several recent challenges to Permissivism in an attempt to even the score between Permissivism and Uniqueness. I will also respond to a worry – arising out of my discussion – that a defense of Permissivism itself introduces an unwelcome asymmetry between epistemic and practical rationality.     

The sense of smell: Morality and rhetoric in the Bramhall-Hobbes controversy

Olfactoric imagery is abundantly employed in the Bramhall-Hobbes controversy. I survey some examples and then turn to the possible significance of this. I argue that by forcing Hobbes into the figurative exchange Bramhall scores points in terms of moving the controversy into ground that is not covered by the limited view of rationality that Hobbes is committed to according to his rhetoric (at least as Bramhall perceives it). Bramhall clearly wants to move from cool argument to a more affluent rhetorical appeal. I argue that choosing such a richer epistemology coheres with Bramhall’s deeper anxieties regarding the moral method used in the Leviathan. This essay thus deviates from other form-content analysis of Hobbes, in attempting to examine his rhetoric in practice, under the pressure of controversy. My more general concern is in relating seemingly formal polemical choices to moral concerns. A previous version of this paper was read before a meeting of a German-Israeli controversy research group (headed by M. Dascal and G. Fritz) dedicated to the study of early modern controversies (Giessen, 2000). I am indebted to participants of that meeting for excellent comments and suggestion. I would also like to acknowledge the way by which Dascal’s pioneering work on the philosophical and historical importance of studying controversies has inspired this particular essay.     

Time/History,Self-disclosure and Anticipation: Pannenberg,Heidegger and the Question of Metaphysics

This essay examines Wolfhart Pannenberg’s defense of metaphysics’ foundational importance for philosophy and theology. Among all the modern philosophers whose claims Pannenberg challenges, Martin Heidegger’s discourse against Western metaphysics receives the major portion of criticism. The first thing one concludes from this criticism is an affirmation of a wide intellectual gap that separates Pannenberg’s thought from Heidegger’s, as if each stands at the very opposite corner of the other’s school of thought. The questions this essay tackles are: is this seemingly irreconcilable difference between Pannenberg and Heidegger fully justifiable? What if there is a reading of Panneberg’s and Heidegger’s view of metaphysics that can reveal deeper similarities between the two thinkers than the first reading of Pannenberg’s criticism of Heidegger allows us to see? It then answers these questions by showing that both thinkers actually share a common emphasis on the concepts of ‘time/history’, ‘self-disclosure’ and ‘anticipation’, and their reliance on these notions reveals that Heidegger’s and Pannenberg’s approaches to the phenomenon of understanding and to metaphysical ontology are not fully contradictory but rather hold noticeable hermeneutical similarities.     

Kant's Expressive Theory of Music

Several prominent philosophers of art have worried about whether Kant has a coherent theory of music on account of two perceived tensions in his view. First, there appears to be a conflict between his formalist and expressive commitments. Second (and even worse), Kant defends seemingly contradictory claims about music being beautiful and merely agreeable, that is, not beautiful. Against these critics, I show that Kant has a consistent view of music that reconciles these tensions. I argue that, for Kant, music can be experienced as either agreeable or beautiful depending on the attitude we take toward it. Although it is tempting to think he argues that we experience music as agreeable when we attend to its expressive qualities and as beautiful when we attend to its formal properties, I demonstrate that he actually claims that we are able to judge music as beautiful only if we are sensitive to the expression of emotion through musical form. With this revised understanding of Kant's theory of music in place, I conclude by sketching a Kantian solution to a central problem in the philosophy of music: given that music is not sentient, how can it express emotion?     

Between Good and Evil: Xunzi’s Reinterpretation of the Hegemonic Rule as Decent Governance

This essay investigates Xunzi’s political philosophy of ba dao (Hegemonic Rule). It argues that Xunzi’s practical philosophy of ba dao was developed in the course of resolving the tension between theory and practice latent in Mencius’s account of ba dao. Its central claim is that contra Mencius who remained torn between his ideal political theory of ba dao and the practical utility and moral value of ba dao, Xunzi creatively re-appropriated ba dao as a “morally decent” (if not morally ideal) statecraft, within the parameter of practical Confucian philosophy. After examining the moral and political value of ba dao in both domestic and international governance, the essay concludes by arguing that Xunzi’s defense of ba dao should be understood in the context of what I call “negative Confucianism,” without which the realization of the Confucian moral-political ideal (or positive Confucianism) is impossible.     

SCIENCE AND SEMANTICS: THE CASE OF VAGUENESS AND SUPERVALUATION*

Abstract: It is widely assumed that the methods and results of science have no place among the data to which our semantics of vague predicates must answer. This despite the fact that it is well known that such prototypical vague predicates as ‘is bald’ play a central role in scientific research (e.g. the research that established Rogaine as a treatment for baldness). I argue here that the assumption is false and costly: in particular, I argue one cannot accept either supervaluationist semantics, or the criticism of that semantics offered by Fodor and Lepore, without having to abandon accepted, and unexceptionable, scientific methodology.     

Vague Objects within Classical Logic and Standard Mereology,and without Indeterminate Identity

Weatherson (The Philosophical Quarterly, 53, 481–501 2003) argues that whoever accepts classical logic, standard mereology and the difference between vague objects and any others, should conclude that there are no vague objects. Barnes and Williams (Pacific Philosophical Quarterly, 90, 176–187 2009) claim that a supporter of vague objects who accepts classical logic and standard mereology should recognize that the existence of vague objects implies indeterminate identity. Even though it is not clearly stated, they all seem to be committed to the assumption that reality is ultimately constituted by mereological atoms. This assumption is not granted by standard mereology which instead remains silent on whether reality is atomic or gunky; therefore, I contend that whoever maintains classical logic, standard mereology and the difference between vague objects and any others, is not forced to conclude with Weatherson that there are no vague objects; nor is she compelled to revise her point of view according to Barnes and Williams’s proposal and to accept that the existence of vague objects implies indeterminate identity.     

A critique of Vihvelin's Three-fold Classification

In this essay, I argue for the rejection of Vihvelin's ‘Three-fold Classification’ (3-FC), a nonstandard taxonomy of free-will compatibilism, incompatibilism, and impossibilism. Vihvelin is right that the standard taxonomy of these views is inadequate, and that a new taxonomy is needed to clarify the free-will debate. Significantly, Vihvelin notes that the standard formal definition of ‘incompatibilism’ does not capture the historically popular view that deterministic laws pose a threat to free will. Vihvelin's proposed solution is to redefine ‘incompatibilism.’ However, Vihvelin's formal definition of ‘incompatibilism’ is flawed according to her own arguments. In addition, Vihvelin's characterization of ‘compatibilism’ is (at best) incomplete, and at least two important free-will views are missing from her proposed taxonomy. Given the problems with Vihvelin's arguments for 3-FC, her novel view of the dialectic between the major free-will views lacks support.     

Moods,Colored Lenses,and Emotional Disconnection: a Comment on Gallegos

In “Moods Are Not Colored Lenses: Perceptualism and the Phenomenology of Moods” (2017) Francisco Gallegos presents a challenge to popular view about the phenomenology of being in a mood that he calls “perceptualism”. In this essay, I offer a partial defense of perceptualism about moods and argue that perceptualism and Gallegos’s preferred Heideggerian alternative need not be viewed as in opposition to one another.     

The use-conditional indexical conception of proper names

In this essay I will defend a novel version of the indexical view on proper names. According to this version, proper names have a relatively sparse truth-conditional meaning that is represented by their rigid content and indexical character, but a relatively rich use-conditional meaning, which I call the (contextual) constraint of a proper name. Firstly, I will provide a brief outline of my favoured indexical view on names in contrast to other indexical views proposed in the relevant literature. Secondly, two general motivations for an indexical view on names will be introduced and defended. Thirdly, I will criticize the two most popular versions of the indexical view on names: formal variable accounts and salience-based formal constant accounts. In the fourth and final section, I will develop my own use-conditional indexical view on names in three different steps by confronting an initial version of this view with three different challenges.     

The Paradox of Wuwei? Yes (and No)

This essay considers P. J. Ivanhoe's critical challenge to Slingerland's analysis of wuwei(‘effortless action’). While I agree with Ivanhoe that we should do more work to embody and understand the concept of wuwei, I will defend Slingerland's notion that wuwei involves paradox—particularly in the cases of Zhuangi and Laozi. The present essay is not a defense of the specifics of Slingerland's analysis. Nonetheless, this essay focuses on defending the notion of paradox. Ivanhoe offers an alternative view of wuwei, one that sees the paradox as a riddle. I argue that this kind of formulation would frame the problem of wuwei in an unhelpful manner. I offer several novel ways of overcoming, or at least qualifying, the experience of paradox that seems to be at play in nondoing.