The colloquium aims to take a pragmatic look at the general question of the impact of mathematics on philosophy. By pragmatic, we are not referring here to pragmatism, but to the fact that the question will be approached not theoretically and for its own sake, but rather through examples, whether linked to authors or to the emergence of new mathematical methods or theories. Paradigmatic situations include the role of Newton in Kantian philosophy, and the role of set theory and mathematical logic in 20th-century philosophy of language and analytic philosophy. The colloquium aims to combine the analysis of such historical moments with that of the recent and present situation.