Home Page

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

- Homotopy type theory and the vertical unity of concepts in mathematics, forthcoming.
- Reviving the philosophy of geometry, (link)
- Expressing ‘The Structure of’ in Homotopy Type Theory, pdf
- Duality as a category-theoretic concept, (link)
- Lautman and the Reality of Mathematics, (pdf)
- Understanding the Infinite I: Niceness, Robustness, and Realism (link)
- Understanding the infinite II: Coalgebra (link)
- Narrative and the Rationality of Mathematical Practice, preprint
- 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

- A Dialogue on Infinity
- Klein 2-Geometry
- Two Cultures
- Mathematics and Co-Mathematics
- 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 April 28, 2016 06:20:51
by David Corfield
(91.125.246.222)