Nietzsche and Fractal Geometry: a philosophical continuity

Abstract

The purpose of this work is to highlight the epistemological proximity between Nietzsche’s philosophy of science and the underlying philosophical principles of fractal geometry, as illustrated in the main work of its creator, French mathematician Benoit Mandelbrot.This work also aims to find the end of this philosophical continuity, finding an important divergence between Nietzsche’s philosophy of risk taking and Mandelbrot’s legacy in risk management.