The NSTP Theoretical Resolution of Zeno's Paradoxes

Zeno of Elea's (b.490 BC) arguments against motion precipitated a crisis in Greek thought. All of these, concerning motion, have had a profound influence on the development of mathematics. They are described in Aristotle's great work 'Physics' and are presented as four arguments in the form of paradoxes, stated below : 1. The Racecourse or Dichotomy Paradox - There is no motion because that which is moved must arrive at the middle of its course before it arrives at the end. In order to traverse a line segment it's necessary to reach the halfway point, but this requires first reaching the quarter - way point, which first requires reaching the eighth - way point, and so on without end. Hence motion can never begin. This problem isn't alleviated by the well - known infinite sum