University of Cambridge|
King's College London
Philosophy of mathematics|
Philosophy of psychology
Philosophy of real mathematics (as opposed to metamathematics)|
Homotopy type theory as an inherently structuralist foundational language for mathematics
The reality of the interconnection between the psychological and biological aspects of the person
Corfield studied mathematics at the University of Cambridge, and later earned his MSc and PhD in the philosophy of science and mathematics at King's College London. His doctoral advisor was Donald A. Gillies.
Corfield 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 Ill? (2007).
He is a member of the informal steering committee of nLab, a wiki-lab for collaborative work on mathematics, physics, and philosophy.
Papers and reviews
- "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 D. and Williamson J. (eds.) (2001), 175–201.
- (with J. Williamson), "Bayesianism into the 21st Century", in Corfield D. and Williamson J. (eds.) (2001), 1–16.
- Corfield D. 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 Man, 115–138. Kluwer, Dordrecht (2002).
- Review of Conceptual Mathematics by F. W. Lawvere and S. 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 Krieger, M. (2005). "Doing Mathematics". Philosophia Mathematica. 13: 106–111.
- "Categorification as a Heuristic Device", in D. Gillies and C. Cellucci (eds.) Mathematical Reasoning and Heuristics, King's College Publications (2005).
- Why Do People Get Ill?, Hamish Hamilton (2007).
- "Understanding the infinite II: Coalgebra". Studies in History and Philosophy of Science. 42: 571–579. 2011. doi:10.1016/j.shpsa.2011.09.013.
- Faculty page at the University of Kent
- Home page in nLab
- Philosophy/mathematics group blog "The n-Category Cafe", written by Corfield, John Baez, Urs Schreiber and Alex Hoffnung
- Internet Archive of Corfield's old blog, "Philosophy of Real Mathematics" (last version)
- His psychosomatic medicine blog, "Why Do People Get Ill?"
- Homepage in Tübingen
- His alumnus page at the Max Planck Institut
- Mazur interviewed by Corfield - Thales + Friends