The philosophy of mathematics was the subject of my Ph.D. thesis and remains a major research interest of mine. In particular, I have defended nominalist accounts of mathematics: those which do not posit mathematical objects such as numbers or sets. Other ontological debates also interest me, particularly those concerning possible worlds, composite objects, and propositions. I have tended to explore theories which posit less rather than more, which has led me to think about paraphrase, pretence, fictionalism, and error theory. At present I am working on a book which brings some of these ideas into discussions of truth and paradox.
Other interests include philosophical method, grounding, and metaontology.