Arbitrary reference

Two fundamental rules of reasoning are Universal Generalisation and Existential Instantiation. Applications of these rules involve stipulations (even if only implicitly) such as ??Let n be an arbitrary number?? or ??Let John be an arbitrary Frenchman??. Yet the semantics underlying such stipulations are far from clear. What, for example, does ??n?? refer to following the stipulation that n be an arbitrary number? In this paper, we argue that ??n?? refers to a number??an ordinary, particular number such as 58 or 2,345,043. Which one? We do not and cannot know, because the reference of ??n?? is fixed arbitrarily. Underlying this proposal is a more general thesis: Arbitrary Reference (AR): It is possible to fix the reference of an expression arbitrarily. When we do so, the expression receives its ordinary kind of semantic-value, though we do not and cannot know which value in particular it receives. Our aim in this paper is defend AR. In particular, we argue that AR can be used to provide an account of instantial reasoning (one that is better than the prominent alternatives), and we suggest that AR can also figure in offering new solutions to a range of difficult philosophical puzzles.     

Epistemicism,Distribution, and the Argument from Vagueness

This paper consists of two parts. The first concerns the logic of vagueness. The second concerns a prominent debate in metaphysics. One of the most widely accepted principles governing the ‘definitely’ operator is the principle of Distribution: if ‘p’ and ‘if p then q’ are both definite, then so is ‘q’. I argue however, that epistemicists about vagueness (at least those who take a broadly Williamsonian line) should reject this principle. The discussion also helps to shed light on the elusive question of what, on this framework, it takes for a sentence to be borderline or definite. In the second part of the paper, I apply this result to a prominent debate in metaphysics. One of the most influential arguments in favour of Universalism about composition is the Lewis‐Sider argument from vagueness. An interesting question, however, is whether epistemicists have any particular reasons to resist the argument. I show that there is no obvious reason why epistemicists should resist the argument but there is a non‐obvious one: the rejection of Distribution argued for in the first part of the paper provides epistemicists with a unique way of resisting the argument from vagueness.     

Why neither diachronic universalism nor the Argument from Vagueness establishes perdurantism

One of the most influential arguments in favour of perdurantism is the Argument from Vagueness. The argument proceeds in three stages: The first aims to establish atemporal universalism. The second presents a parallel argument in favour of universalism in the context of temporalized parthood (‘diachronic universalism’). The third argues that diachronic universalism entails perdurantism. I offer a novel objection to the argument. I show that on the correct way of formulating diachronic universalism the principle does not entail perdurantism. On the other hand, if diachronic universalism is formulated as Sider (incorrectly) proposes, the argument fails to establish his principle, and thus perdurantism.     

Category mistakes and figurative language

Category mistakes are sentences such as ‘The number two is blue’ or ‘Green ideas sleep furiously’. Such sentences are highly infelicitous and thus a prominent view claims that they are meaningless. Category mistakes are also highly prevalent in figurative language. That is to say, it is very common for sentences which are used figuratively to be such that, if taken literally, they would constitute category mistakes. (Consider for example the metaphor ‘The poem is pregnant’, the metonymy ‘The White House decided to change its policy’, or a fictional use of ‘The tree was happy’.) In this paper I argue that the view that category mistakes are meaningless is inconsistent with many central and otherwise plausible theories of figurative language. Thus if the meaninglessness view is correct, the theories in question must each be rejected, and conversely, if any of the theories in question is correct, the meaninglessness view must be wrong. The debates concerning the semantics of figurative language and concerning the semantic status of category mistakes are closely connected.     

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.     

II—The Last Dogma of Type Confusions

In this paper I discuss a certain kind of 'type confusion' which involves use of expressions of the wrong grammatical category, as in the string 'runs eats'. It is (nearly) universally accepted that such strings are meaningless. My purpose in this paper is to question this widespread assumption (or as I call it, 'the last dogma'). I discuss a range of putative reasons for accepting the last dogma: in §II, semantic and metaphysical reasons; in §III, logical reasons; and in §IV, syntactic reasons. I argue that none of these reasons is conclusive, and that consequently we should be willing to question this last dogma of type confusions.     

Response to Abrusán,Shaw, and Elbourne

In my book Category Mistakes (OUP 2013), I discuss a range of potential accounts of category mistakes and defend a pragmatic, presuppositional account of the phenomenon. Three commentators discuss the book: Márta Abrusán focuses on a comparison between my book and Asher’s Lexical Meaning in Context, suggesting that Asher’s theory has the advantage of accounting not only for category mistakes, but also for additional phenomena such as so-called ‘coertion’ and ‘co-predication’. I argue that Asher’s account of all three phenomena is deficient, and, moreover, that it is far from clear that the latter two phenomena are related to that of category mistakes. James Shaw challenges two of my arguments against the MBT view. I respond to these challenges. Paul Elbourne provides a novel argument in support of my account of category mistakes, involving multi-sentence discourses and ERP experiments. I show that it is not entirely straightforward for my account to explain this data, but that his argument does ultimately provide support for my view.     

Strict Finitism and the Happy Sorites

Call an argument a ‘happy sorites’ if it is a sorites argument with true premises and a false conclusion. It is a striking fact that although most philosophers working on the sorites paradox find it at prima facie highly compelling that the premises of the sorites paradox are true and its conclusion false, few (if any) of the standard theories on the issue ultimately allow for happy sorites arguments. There is one philosophical view, however, that appears to allow for at least some happy sorites arguments: strict finitism in the philosophy of mathematics. My aim in this paper is to explore to what extent this appearance is accurate. As we shall see, this question is far from trivial. In particular, I will discuss two arguments that threaten to show that strict finitism cannot consistently accept happy sorites arguments, but I will argue that (given reasonable assumptions on strict finitistic logic) these arguments can ultimately be avoided, and the view can indeed allow for happy sorites arguments.