Profile

Career

Research

Overview

Research interests

Philosophy of Mathematics; Philosophy of Science; Philosophical Logic; Metaphysics; History of Analytic Philosophy.

Current projects

• Mathematical Explanation
• Hilbert's legacy for contemporary philosophy of mathematics
• Logical Consequence

Publications

Selected publications

• 'Taking it Easy: Response to Colyvan', in progress
• 'Models, Structures, and the Explanatory Role of Mathematics', in progress
• 'Nominalistic Adequacy', in progress
• 'Creation and Discovery in Mathematics', in Polkinghorne, ed., Mathematics and its Significance (OUP, 2011)
• Mathematics and Reality (OUP, 2010)
• '"Algebraic" Approaches to Mathematics', in Bueno and Linnebo, eds., New Waves in Philosophy of Mathematics (Palgrave Macmillan 2009): 117-134
• Mathematical Knowledge (OUP, 2007) (co-edited with Alexander Paseau and Michael Potter)
• 'Revolutionary Fictionalism: A Call to Arms', Philosophia Mathematica 13, no. 3 (2005): 277-293
• 'Mathematical Explanation', in Cellucci and Gillies, eds., Mathematical Reasoning and Heuristics, (King's College Publications: London, 2005): 167-189

External activities

Editorial duties

• Referee, British Journal for the Philosophy of Science
• Referee, Mind
• Referee, Philosophia Mathematica
• Referee, Synthese
• Regular reviewer, Mathematical Reviews
• Referee, Dialectica
• Referee, Journal of Philosophical Research
• Referee, Erkenntnis
• Referee, Philosophical Studies
• Referee, Foundations of Science
• Referee, International Studies in the Philosophy of Science
• Referee, Canadian Journal of Philosophy
• Referee, Australasian Journal of Philosophy
• Referee, Cambridge University Press
• Referee, Oxford University Press
• Referee, Philosophical Quarterly