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This is the personal area of David Corfield within the nLab.

- Expressing 'The Structure of' in Homotopy Type Theory, Synthese.
- 2017, Homotopy type theory and the vertical unity of concepts in mathematics, (link to draft) in What is a Mathematical Concept?, CUP.
- 2017, Reviving the philosophy of geometry, (link) to appear in
*Categories for the Working Philosopher*, OUP. - 2017, Duality as a category-theoretic concept, Studies in History and Philosophy of Modern Physics, Volume 59, August 2017, Pages 55-61, (link).
- 2014, with Ralf Krömer, The Form and Function of Duality in Modern Mathematics, Philosophia Scientiae, 18-3 (link)
- 2012, Narrative and the Rationality of Mathematical Practice
- 2011, Understanding the infinite II: Coalgebra (link)
- 2010, Understanding the Infinite I: Niceness, Robustness, and Realism (link)
- 2010, Lautman and the Reality of Mathematics, published in French as ‘Lautman et la réalité des mathématiques’,
*Philosophiques*37(1), 2010, 95-109. - 2010, Varieties of justification in machine learning, Minds and Machines 20 (2), 291-301.
- 2009, Falsificationism and statistical learning theory: Comparing the Popper and Vapnik-Chervonenkis dimensions, (with B Schölkopf, V Vapnik),Journal for General Philosophy of Science 40 (1), 51-58.
- 2008, Projection and Projectability (link)
- Some Implications of the Adoption of Category Theory for Philosophy, doc
- Categorification as a Heuristic Device, doc
- Mathematical Kinds, or Being Kind to Mathematics, pdf
- Argumentation and the mathematical process, in G. Kampis et al. (eds.)
*Appraising Lakatos*, Kluwer, 2002, 115-138. - Smoke rings, history of knot theory

- Event types
- Brandom and material inference
- All types
- hyperintensionality
- probability
- judgments
- deduction, induction, abduction
- polarity

- A Dialogue on Infinity
- Klein 2-Geometry
- Two Cultures
- Mathematics and Co-Mathematics
- Physics of the observer
- Motifs and Phantoms
- realism
- Philosophy as Normative or Descriptive
- Friedman's Dynamics of Reason (change in status of principles; Friedman's schema; cohomology; objections and observations; diagnosis; Friedman and DTT)
- What Category Theory can do for Philosophy
- Homotopy type theory
- Dialectic and Eristic
- Bayesianism in Mathematics
- Shaperean Philosophy of Mathematics
- 1-2-3
- Langlands
- HoTT for Physics
- Historical Motivation
- Type Theory and Philosophy

- Albert Lautman
- Imre Lakatos
- Ernst Cassirer
- Colin McLarty
- R G Collingwood
- Michael Polanyi
- David Carr
- Dudley Shapere
- Rudolf Carnap

Revised on February 8, 2018 07:27:38
by David Corfield
(147.147.173.215)