The Ontological Structure of Mathematical Elements According to Aristotle

Plato and Aristotle, master and disciple respectively, devoted part of their time to thinking about mathematics. Not agreeing in theory with the ideas of the master, Aristotle developed a different analysis, one that "distanced" himself from the master, above all because he did not see maths as something disconnected from the sensible reality of men. Plato's theory of the sensible and intelligible worlds is based on the idea that maths occupies a prominent place in the world of ideas, or at least a safe path to that world. This apparent contradiction between the Platonic academy and the work of Aristotle is what surrounds our present work.