•  1902
    Weaseling and the Content of Science
    Mind 121 (484): 997-1005. 2012.
    I defend Joseph Melia’s nominalist account of mathematics from an objection raised by Mark Colyvan
  •  1721
    Truthmakers and the groundedness of truth
    Proceedings of the Aristotelian Society 108 (1pt2): 177-196. 2008.
    Truthmaker theorists claim that for every truth, there is something in virtue of which it is true—or, more cautiously, that for every truth in some specified class of truths, there is something in virtue of which it is true. I argue that it is hard to see how the thought that truth is grounded in reality lends any support to truthmaker theory.
  •  1859
    Modal fictionalism and possible-worlds discourse
    Philosophical Studies 138 (2): 151-60. 2008.
    The Brock-Rosen problem has been one of the most thoroughly discussed objections to the modal fictionalism bruited in Gideon Rosen’s ‘Modal Fictionalism’. But there is a more fundamental problem with modal fictionalism, at least as it is normally explained: the position does not resolve the tension that motivated it. I argue that if we pay attention to a neglected aspect of modal fictionalism, we will see how to resolve this tension—and we will also find a persuasive reply to the Brock-Rosen obj…Read more
  •  220
    Thanks to the work of Kendall Walton, appeals to the notion of pretence (or make-believe) have become popular in philosophy. Now the notion has begun to appear in accounts of truth. My aim here is to assess one of these accounts, namely the ‘constructive methodological deflationism’ put forward by Jc Beall. After introducing the view, I argue that Beall does not manage to overcome the problem of psychological implausibility. Although Beall claims that constructive methodological deflationism sup…Read more
  •  4632
    In defence of error theory
    with Chris Daly
    Philosophical Studies 149 (2): 209-230. 2010.
    Many contemporary philosophers rate error theories poorly. We identify the arguments these philosophers invoke, and expose their deficiencies. We thereby show that the prospects for error theory have been systematically underestimated. By undermining general arguments against all error theories, we leave it open whether any more particular arguments against particular error theories are more successful. The merits of error theories need to be settled on a case-by-case basis: there is no good gen…Read more
  •  1468
    Truth-makers and dependence
    In Fabrice Correia & Benjamin Schnieder (eds.), Metaphysical grounding: understanding the structure of reality, Cambridge University Press. pp. 254. 2012.
    This paper discusses the significance of non-causal dependence for truthmaker theory. After introducing truthmaker theory (section 1), I discuss a challenge to it levelled by Benjamin Schnieder. I argue that Schnieder’s challenge can be met once we acknowledge the existence of non-causal dependence and of explanations which rely on it (sections 2 to 5). I then mount my own argument against truthmaker theory, based on the notion of non-causal dependence (sections 6 and 7)
  •  325
    Grounding and the indispensability argument
    Synthese 193 (2): 531-548. 2016.
    There has been much discussion of the indispensability argument for the existence of mathematical objects. In this paper I reconsider the debate by using the notion of grounding, or non-causal dependence. First of all, I investigate what proponents of the indispensability argument should say about the grounding of relations between physical objects and mathematical ones. This reveals some resources which nominalists are entitled to use. Making use of these resources, I present a neglected but pr…Read more