David Corfield

David Corfield
Born	David Neil Corfield
Education	University of Cambridge (BA) King's College London (MSc; PhD, 1996)
Era	Contemporary philosophy
Region	Western philosophy
School	Analytic
Institutions	University of Kent
Thesis	Research Programmes, Logic, and Analogy: Three Aspects of Mathematics and Its Development  (1996)
Doctoral advisor	Donald A. Gillies
Main interests	Philosophy of mathematics Philosophy of psychology
Notable ideas	Philosophy of real mathematics (as opposed to metamathematics) Adoption of mathematical-categorification procedures for philosophy Homotopy type theory as an inherently structuralist foundational language for mathematics Modal homotopy type theory The reality of the interconnection between the psychological and biological aspects of the person

David Neil Corfield is a British philosopher specializing in philosophy of mathematics and philosophy of psychology. He was Senior Lecturer in Philosophy at the University of Kent until 2024.

Education

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. ^{[1] [2]} His doctoral advisor was Donald A. Gillies. ^[3]

Work

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 psychology and psychosomatic medicine, Why Do People Get Ill? (2007).

He joined the University of Kent in September 2007 where he was Senior Lecturer in Philosophy until 2024.

He is a member of the informal steering committee of nLab, a wiki-lab for collaborative work on mathematics, physics, and philosophy.

Bibliography

• "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).
• "Some Implications of the Adoption of Category Theory for Philosophy", in Giandomenico Sica (ed.), What is Category Theory?, Polimetrica (2006), 75–94.
• (with Darian Leader) Why Do People Get Ill?, Hamish Hamilton (2007).
• Corfield, David (2011). "Understanding the Infinite II: Coalgebra". Studies in History and Philosophy of Science. 42 (4): 571–579. Bibcode:2011SHPSA..42..571C. doi:10.1016/j.shpsa.2011.09.013.
• Modal Homotopy Type Theory: The Prospect of a New Logic for Philosophy, Oxford University Press (2020).

References

1. Apostolos Doxiadis, Barry Mazur, Circles Disturbed: The Interplay of Mathematics and Narrative, Princeton University Press, 2012, p. 541.
2. Bios - Thales + Friends
3. Corfield interviewed by McLarty - Thales + Friends

External links

• 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 Archived 3 March 2007 at the Wayback Machine
• His alumnus page at the Max Planck Institut
• Mazur interviewed by Corfield - Thales + Friends