Interactions between Philosophy and the Sciences in the Debate about Spatial Intuition and the Foundations of Geometry

Workshop
Interactions between Philosophy and the Sciences in the Debate about Spatial Intuition and the Foundations of Geometry

L’IMéRA (Institut d’études avancées de l’université d’Aix-Marseille) a le plaisir de vous inviter à l'atelier "Interactions between Philosophy and the Sciences in the Debate about Spatial Intuition and the Foundations of Geometry", organisé dans le cadre de la résidence de Francesca Biagioli, philosophe et épistémologue.

Entrée libre

Organisateur: Francesca BIAGIOLI, IMéRA

After scientific developments such as non-Euclidean geometry, the axiomatization of geometry, and general relativity, both philosophers and scientists addressed the question whether the Kantian theory of space ought to be refurbished or even rejected. On the one hand, the possibility of considering a variety of hypotheses concerning physical space appeared to contradict Kant’s assertion that Euclidean geometry is a priori knowledge and suggested the view that the geometry of space is a matter for empirical investigation. On the other hand, French and German forms of neo-Kantianism explored the possibility of generalizing the Kantian notion of spatial intuition to a system of hypotheses, including Euclidean geometry as a special case. The workshop will offer a discussion of the contributions of leading figures in this debate between the end of the nineteenth century and the first decades of the twentieth century, with a special focus on the interactions between philosophy, mathematics, and physics from both a systematical and a historical perspective.

PROGRAMME

9:30 Accueil
10:00-11:00

Igor Ly (Aix-Marseille University)

Poincaré and the Role of Different Kinds of Intuition in His Philosophical Conception of Space and Geometry

11:00-12:00
Francesca Biagioli (IMéRA)
Cassirer and the Relativized A Priori

12:00-14:00 Pause déjeuner

14:00-15:00
Jean Seidengart (Paris Ouest Nanterre La Défense)
La naissance de la science classique du point de vue systématique et historique, selon Cassirer

15:00-16:00
Matthias Neuber (University of Tübingen)
Realistic Claims in Logical Empiricism

16:00-16:30 Pause

16:30-17:30
Marco Giovanelli (University of Tübingen)
Einstein, Weyl, and Pauli on the Relation between Geometry, Measuring-Rods, and Clocks