By using "The Presocratics", edited by Philip Wheelwright, this paper mainly concentrates on Pythagorean definitions of realities. It looks at how there is a correlation between Pythagorean and modern philosophies, primarily connected to mathematical themes. It goes into depth of defining Mandelbrot sets through math and philosophy and how it connects to ancient philosophy.
From the Paper:
"There are many ways to define things that we perceive in our daily lives. We define them through science, art, language, and psychology as in many other ways. Most of the philosophies that exist today come from the 'bare bones' of pre-Socratics. They are the basis of different philosophies as well as studies and advances of our time such as astronomy, biology, physics, psychology, mathematics and many more. Pre-Socratics were the first to record their thoughts about the universe. Of how it originated, what made up the things surrounding us, the composition and elements used to make the universe."