I am about as far from the continental tradition in 20th-21st C philosophy as you can get. Some of my students, however, are not, and they keep asking me questions about what various continental people would say in response to issues coming up in our philosophy of math discussions.
So I've done what any self-respecting academic would do: I've gone to twitter to ask for recommendations on continental philosophy of math
Another query for the hive mind: Continental philosophy of mathematics. Is there any such thing? Deleuze? Merleau-Ponty? Send me refs!— Sara L. Uckelman (@SaraLUckelman) March 9, 2017
I've now gotten enough recommendations that it makes sense to collate them all in a blog post. Note that that is all this is: a collation. I haven't read any of these texts, don't even recognize many of the authors, and thus inclusion here is not any indication of quality or agreement!
- Badiou, Alain, Being and Event (on set theory); here's a review of it.
- Badiou, Alain, Mathematics of the Transcendental
- Bergson. Here's a chapter on "An Outline of Bergson's Philosophy of Mathematics" by Milič Čapek.
- Brunschvicg, Leon, Les étapes de la philosophie mathématique
- Cassou-Noguès, Pierre, De l'expérience mathématique: Essai sur la philosophie des sciences de Jean Cavaillès
- Cavaillès, Jean.
- Connes, Alain, A View of Mathematics
- Corfield, David, Towards a Philosophy of Real Mathematics (link is to an NDPR).
- Derrida, Jacques, Edmund Husserl's Origin of Geometry
- Duffy, Simon B.
- Kroyé, Alexandre, on infinity before & after scientific revolution
- Lakatos (described as having "a very Hegelian strand")
- Lautman, Albert (one of Deleuze's sources)
- Lochak, Pierre, Mathématiques et finitude
- Mader, Mary Beth, Sleights of Reason.
- Mancosu, Paolo & T. A. Ryckman, "Mathematics and phenomenology: The correspondence between O. Becker and H. Weyl", which "sheds new light on Weyl's engagement with Husserlian transcendental phenomenology".
- Martin, Bill, specifically his work on Badiou.
- Philosophy Stack Exchange thread oncontinental philosophers who worked on philosophy of math
- Salanskis, Jean-Michel, Philosophie des mathématiques
- Salanskis, Jean-Michel, Philosophie française et philosophie analytique au XXe siècle
- Serres, Michel, Le système de Leibniz et ses modèles mathématiques"
- Tragesser, Robert S., Husserl and Realism in Logic and Mathematics
- Vuillemin, Jules, "La philosophie de l'algèbre"
- Zalamea, Fernando, Synthetic Philosophy of Contemporary Mathematics
Another useful note:
@SaraLUckelman Per Martin-Löf is a huge deal in type theory and uses Husserl a lot! https://t.co/DQxw5abauM— vape resort (@mmultiplier) March 9, 2017
And now I want to teach a class where I can use this as an essay question:
@SaraLUckelman Suggested topic: Frege and Badiou are both (described as) Platonists. What, if anything do they have in common beyond that?— Philosopher wo Docs. (@prgodbarebones) March 9, 2017
I'll continue to update this page as further suggestions come in.