David Corfield
David Corfield
Contents
Contents
This is the personal area of David Corfield within the nLab .
Personal details
I am currently Senior Lecturer in Philosophy at the University of Kent. Email: dcorfield48ATgmailDOTcom.
Books
Articles and preprints
2023, Thomas Kuhn, Modern Mathematics and the Dynamics of Reason
2021, with Hisham Sati, Urs Schreiber, Fundamental weight systems are quantum states , arXiv:2105.02871
2017, 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. pp. 125-142.
2017, Reviving the philosophy of geometry, (link ) in Elaine Landry (ed.) 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, (pdf , 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 , In: Doxiadis, Apostolos and Mazur, Barry, eds. Circles Disturbed: The Interplay of Mathematics and Narrative. Princeton University Press, Princeton, pp. 244-280. (Scholarship online ).
2011, Understanding the Infinite II - Coalgebra , Studies in History and Philosophy of Science, Part A, Volume 42, Issue 4, December 2011, pp. 571-579, (pdf , link )
2010, Understanding the Infinite I: Niceness, Robustness, and Realism, Philosophia Mathematica, 18 (3). pp. 253-275, (pdf , 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, (doi:10.1007/s11023-010-9191-1 )
2010, Nominalism versus Realism, EMS Newsletter March, pdf
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 In J. Quiñonero-Candela, M. Sugiyama, A. Schwaighofer, & N. Lawrence (Eds.), Dataset Shift in Machine Learning (pp. 29-38).
2006, Review of Omnès’ ‘Converging Realities’, Metascience 15: 363–366, pdf , original draft (makes better sense before it was edited).
2006, Some Implications of the Adoption of Category Theory for Philosophy, in Giandomenico Sica (ed.), What is Category Theory?, Polimetrica s.a.s., 75-94, Sica.doc Final draft
2005, Categorification as a Heuristic Device , in Carlo Cellucci and Donald Gillies (eds.), Mathematical Reasoning and Heuristics , College Publications, doc
2005, Review of Martin Krieger’s ‘Doing Mathematics’, Philosophia Mathematica, Volume 13, Issue 1, February 2005, Pages 106–111, doi
2004, Mathematical Kinds, or Being Kind to Mathematics, Philosophica, 74, 30–54, article * 2002, Argumentation and the mathematical process, in G. Kampis et al. (eds.) Appraising Lakatos , Kluwer, 115-138, (pdf )
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, (pdf ).
2002, From mathematics to psychology: Lacan’s missed encounters, in J. Glynos and Y. Stravrakakis (eds.) ‘Lacan and Science’, Routledge, 179-206, (pdf )
Smoke rings , history of knot theory
Talks
Modal Homotopy type theory, Bristol, Sept 16, slides
Homotopy type theory: A revolution in the foundations of mathematics?, Canterbury, March 17, slides
And, Kent, Feb 18, slides
Modal Homotopy type theory: the new new logic, Beijing, Aug 18, slides
The ubiquity of modal types, Birmingham, Sept 18, slides
How we use monads without ever realising it, Kent, Mar 19, slides
Health methodology and the psychosomatic approach to medicine, Kent, June 19, slides
The narratives category theorists live by, LSE, Sept 19, slides
Vienna , Dec 19
Evidence seminar, Kent, Nov 20, slides
Philosophy of Mathematics Seminar, Oxford, Jan 21, slides .
Analogy in Mathematics, May 21, Centre for Reasoning. slides .
Modal types, LMU, Autumn school Proof and Computation , Sept 21, slides .
Dynamics of Reason Revisited, Kent, Oct 21, (slides ), developments in the Friedman project .
Graded modalities and dependent type theory, Kent, June 22 (slides )
Modal and graded modal types, Prague, July 22 (slides )
Kuhn and modern mathematics, Canterbury, July 22 (slides )
Category Theory as a Heuristic Tool in Logic and Mathematics, Rome, Feb 23 (slides ).
Philosophical perspective on category theory , Mar 23 (recording , slides )
(see later slides below ) Type-theoretic Expressivism , Logica 2023, Tepla, Czechia, Jun 23 (slides )
Modal and Linear HoTT in Physics , Computation and Quantum Gravity conference, Sydney, Australia, September 23 (slides )
How to Apply Category Theory: from Physics to Epidemiology , Collège de France, Paris, October 23 (slides )
Methodological reflections , online to CFAR , 4 November 23 (slides )
Mind in Medicine , University of Kent, 15 November 23 (slides )
Type-theoretic Expressivism , University of Bristol, February 24 (slides )
Homotopy type theory and its modal variants , Sheffield, 1 May 2024 (slides )
Philosophy and Innovation , Northeastern university London, 4 May 2024 (slides )
Organised conferences
Older talks
NIPS 2006
Between the Philosophy of Science and Machine Learning, NIPS 2011, Philosophy and Machine Learning Workshop, Sierra Nevada, Spain - 17 December 2011 (workshop site )
Notes
coterm
LHoTT
DisCoCat
Brandon on modality
modality as impure
de dicto-de re
jokes
2-D semantics
subsentential inferentialism
proposition
connectives
dependence
ontology
Kan
Conor McBride
distinguish
first steps
impossibilia
Husserl
belief
specification type
type-shifting
relevance logic
intensional conjunction
many-sorted logic
free logic
stuff
negative facts
logic-mathematics
univocal-equivocal
inferences
n-theory
explanation, evidence, cause
coercion
Set theory, higher-order logic, dependent type theory
relation between category theory and type theory
concrete universal
intermodality
old tools
dependency
elements
fact
seems
quotient types
thick concept
mathematical landscape
Event types
Brandom and material inference
All types
graded modality
hyperintensionality
probability
judgments
deduction, induction, abduction
polarity
modality
invariance
type, object, monad, process
temporal type theory
knowledge
inferentialism
space - cohesion, etc.
continuous logic, probability, quantum
history
counterfactual
least action
types in philosophical literature
condensed
questions
What has X done for us?
Projects
Philosophers
Mathematicians
Cyberneticists
Grant proposals
Modal dependent type theory: pdf
PACT
Café Posts
Last revised on May 20, 2024 at 10:29:33.
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