Mathematisation of Good: Mathematics as a Way of Foundation of the Order of Things

Abstract

In the present article I briefly discuss the role that mathematics plays in the book VI of Plato’s Republic. The question worth considering is the nature of its object compared to the practice of the philosopher, and further why is it tied to the project of the realization of Good as planned within the ideal state. The analogy of the divided line leads us to the conclusion showing that mathematics was also treated on the basis the epistemological and ontological view of the taxonomical structure of the world Plato had.