Career
He is the author of Towards a Philosophy of Real Mathematics (2003), in which he argues that the philosophical implications of mathematics did not stop with Kurt Gödel"s incompleteness theorems. He has also co-authored a book with Darian Leader about psychosomatic medicine – Why Do People Get Illinois? (2007). He joined the University of Kent in September 2007.
"Assaying Lakatos"s Philosophy of Mathematics", Studies in History and Philosophy of Science 28(1), 99–121 (1997).
"Beyond the Methodology of Mathematical Research Programmes", Philosophia Mathematica 6, 272–301 (1998). "Come the Revolution..", critical notice on The Principles of Mathematics Revisited by Jaakko Hintikka, Philosophical Books 39(3), 150–6 (1998).
"The Importance of Mathematical Conceptualisation", Studies in History and Philosophy of Science 32(3), 507–533 (2001). "Bayesianism in Mathematics", in Corfield Doctorate. and Williamson J. (eds) (2001), 175–201.
(with J Williamson), "Bayesianism into the 21st Century", in Corfield Doctorate. and Williamson J. (eds) (2001), 1–16.
Corfield Doctorate. and Williamson J. (eds), Foundations of Bayesianism, Kluwer Applied Logic Series (2001). "Argumentation and the Mathematical Process", G. Kampis, L. Kvasz & M. Stöltzner (eds) Appraising Lakatos: Mathematics, Methodology, and the Manitoba, 115–138. Kluwer, Dordrecht (2002).
Review of Conceptual Mathematics by F. West. Lawvere and South. Schanuel and A Primer of Infinitesimal Analysis by J. Bell, Studies in History and Philosophy of Modern Physics, 33B(2), 359–366 (2002).
"From Mathematics to Psychology: Lacan"s missed encounters" in J. Glynos and Y. Stavrakakis (eds) Lacan and Science, Karnac Books, 179–206 (2002). Towards a Philosophy of Real Mathematics, Cambridge University Press (2003).
Review of Opening Skinner"s Box by Lauren Slater, The Guardian, 27 March 2004. Review of M. Krieger (2002) Doing Mathematics.
Philosophia Mathematica, 13: 106–111 (2005).
"Categorification as a Heuristic Device", in Doctorate. Gillies and C. Cellucci (eds) Mathematical Reasoning and Heuristics, King"s College Publications (2005). Why Do People Get Illinois?, Hamish Hamilton (2007). Understanding the infinite II: Coalgebra, Studies in History and Philosophy of Science 42 (2011) 571–579.