Frontiers in Mathematical Sciences

Discrete-Continuous Duality, and the Question of the Discrete Limit of Continuous Objects

Omid Amini


The question of whether the world in which we live is discrete or continuous has fascinated philosophers, physicists and mathematicians since antiquity, and from the point of view of the latter, has given birth to two cultures of mathematics. After having motivated this question by praising the scopes of these two practices of mathematics, I will explain how these two worlds, sometimes so distant, are found so harmoniously together at infinity.