(see also my PhilPapers page)
published or in press
- Strict finitism refuted?, Proceedings of the Aristotelian Society CVII (2007): 403-411
In his paper ‘Wang’s paradox’, Michael Dummett argues that strict finitism in mathematics is internally inconsistent and therefore an untenable position. I argue that Dummett's argument fails.
- Another note on Zeno’s arrow, Phronesis 53 (2008): 359-272
In Physics VI.9 Aristotle addresses Zeno’s four paradoxes of motion and amongst them the arrow paradox. In his brief remarks on the paradox, Aristotle also suggests what he takes to be a solution to the paradox. I claim that what seems on the face of it to be Aristotle’s solution to the paradox raises two puzzles, and offer an interpretation of Aristotle which - as as opposed to the previous interpretations of Lear and Vlastos - provides a response to the puzzles.
- Epistemicism about vagueness and meta-linguistic safety, co-authored with Stephen Kearns, Philosophical Perspectives 22 (2008): 277-304
We challenge Williamson's safety-based explanation for why one cannot know the sharp cut-off points of vague predicates. In particular, we point out that Williamson's explanation implicitly relies on a principle of Meta-linguistic safety (MBS), but we argue that MBS is not a necessary condition on knowledge.
- The last dogma of type confusions, Proceedings of the Aristotelian Society 109 (2009): 1-29
I discuss sentences (or quasi-sentences) involving a kind of radical ‘type confusion’, i.e. strings involving expressions of the wrong grammatical category, as in ‘runs eats’. It is (nearly) universally accepted that such strings are meaningless (‘the last dogma’), but in this paper I question this widespread assumption.
- Assertion, context, and epistemic accessibility, co-authored with John Hawthorne, Mind 118 (2009): 377-197
In his seminal paper ‘Assertion’, Robert Stalnaker distinguishes between the semantic content of a sentence on an occasion of use and the content asserted by an utterance of that sentence on that occasion. While in general the assertoric content of an utterance is simply its semantic content, the mechanisms of conversation sometimes force the two apart. Of special interest in this connection is one of the principles governing assertoric content in the framework, one according to which the asserted content ought to be identical at each world in the context set (the Uniformity principle). In this paper, we present a problem for Stalnaker’s meta-semantic framework, by challenging the plausibility of the Uniformity principle. We argue that the interaction of the framework with facts about epistemic accessibility — in particular, failures of epistemic transparency — cause problems for the Uniformity principle and thus for Stalnaker’s framework more generally. See also responses by Stalnaker and Almotahari & Glick and our counter-response.
- Natural language and how we use it: Psychology, pragmatics, and presupposition, (critical notice of Soames, Philosophical Essays vol. 1),Analysis 70 (2010): 160-174
In this extended critical notice, I discuss several themes from Soames’s volume, but I focus especially on a discussion of a range of issues concerning presupposition.
- Category mistakes are meaningful, Linguistics & Philosophy 32 (2009): 553-581
Category mistakes are sentences such as ‘Colourless green ideas sleep furiously’ or ‘The theory of relativity is eating breakfast’. Such sentences are highly infelicitous, and this has led a large number of linguists and philosophers to conclude that they are meaningless. In this paper I argue that the meaninglessness view is incorrect and category mistakes are meaningful.
- Review of Robert Stalnaker, Our Knowledge of the Internal World, Philosophical Review 119 (2010): 384-391
Critical review of Stalnaker's book (aprox. 3400 words long)
- Arguments by Leibniz’s Law in Metaphysics, Philosophy Compass 6 (2011): 180-195
Leibniz’s Law (or ‘the Indiscerniblity of Identicals’) is a widely accepted principle governing the notion of numerical identity. Leibniz’s Law may seem like a trivial principle, but its apparent consequences are far from trivial: The law has been utilised in a wide range of arguments in metaphysics, many leading to substantive and controversial conclusions. This article discusses the applications of Leibniz’s Law to arguments in metaphysics, and what strategies are available to those who wish to resist such arguments.
- Assertion and Epistemic Opacity (with John Hawthorne), Mind 119 (2010): 1087-1105
In ‘Assertion, Context, and Epistemic Accessibility', we presented an argument against Stalnaker’s meta-semantic framework. In this paper we address two critical responses to our paper by Stalnaker, and by Almotahari and Glick. We pay special attention (Sect. 2) to an interesting argument that Stalnaker offers to bolster the transparency of presupposition (an argument that, if successful, could also form the basis of a defence of the KK principle).
- Arbitrary reference (with Wylie Breckenridge), Philosophical Studies 158 (2012): 377-400
Two fundamental rules of reasoning are Universal Generalisation and Existential Instantiation. Applications of these rules involve stipulations such as ‘Let n be an arbitrary number’. Yet the semantics underlying such stipulations are far from clear: what, for example, does ‘n’ refer to following the above stipulation? In this paper, we argue that ‘n’ refers to a number (an ordinary, particular number such as 58 or 2,345,043), but we do not and cannot know which number, because the reference of ‘n’ is fixed arbitrarily. The paper defends the claim that such arbitrary reference is possible. In particular, we argue that the possibility of arbitrary reference account can be used to provide an account of instantial reasoning (one that is better than the alternatives), and we suggest that the thesis can also figure in offering new solutions to a range of difficult philosophical puzzles.
- Strict finitism and the happy sorites, Journal of Philosophical Logic 41 (2012): 471-191
Call an argument a ‘happy sorites’ if it is a sorites argument with true premises and a false conclusion. It’s a striking fact that although most philosophers working on the sorites paradox find it 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 such argument arguments: strict finitism in the philosophy of mathematics. The paper explores the question of whether this appearance is accurate: I show that this question is far from trivial, but that strict finitism can ultimately accept happy sorites arguments.
- Semantic sovereignty (co-authored with Stephen Kearns), forthcoming in Philosophy and Phenomenological Research
A widely (indeed almost universally) accepted thesis in Philosophy of Language is Semantic Supervenience: semantic facts supervene on use facts (that is, at least if 'use facts' is given a sufficiently broad interpretation). Against this orthodoxy, we argue for a radical thesis we call 'Semantic Sovereignty': semantic facts do not supervene on use facts, even if 'use facts' are given a maximally broad interpretation.
- Review of Ludlow, 'The Philosophy of Generative Linguistics ', forthcoming in Analysis
Just what it says on the box
work in progress
- Category Mistakes, book manuscript under contract with Oxford University Press
- 'Epistemic reasons and evidence', under preperation for The Oxford Handbook for Reasons and Normativity
- 'Conditional justification' (in progress)
- 'The myth of the de se' (in progress)
- 'Free enrichment and the optionality criterion' (in progress)
- 'Presupposition projection in infelicitous environments' (in early progress)
- 'Universalism and Persistence' (in early progress)