Orateur
Description
In recent years we have become accustomed to see philosophy of mathematics interact with studies of mathematical cognition. This happens especially around the number concept, but also in relation to geometry (work by Giaquinto, Giardino, García-Pérez, Hamami, etc.). A third notion that belongs to the cognitive roots of maths is time, but this is not treated usually in our field, perhaps because the philosophy of time is usually conceived to be linked with physics. We shall employ historical considerations and some cognitive studies to argue that time is indeed a root of mathematical knowledge. In a second part of the talk, we will consider the classical (pre-relativistic) conception of time, and show how considering it as a kind of mathematical object helps reconsider and clarify the notion.