Resolving Zeno’s Achilles and the Tortoise Paradox through the Paradox Theory
T itle : Resolving Zeno’s Achilles and the Tortoise Paradox through the Paradox Theory Image provided by Copilot Abstract Zeno's Achilles and the Tortoise Paradox presents a challenge to our intuitive understanding of motion and time. By dividing the distance between Achilles and the tortoise into an infinite number of steps, the paradox suggests that Achilles can never overtake the tortoise. However, this paradox can be resolved by applying the principles of modern calculus, specifically the concept of converging infinite series. In this paper, we employ the Paradox Theory Framework to formalize and resolve the paradox by aligning classical mechanics with the mathematical resolution provided by calculus. This framework offers a novel approach to reconciling seemingly contradictory systems and provides insight into the broader applicability of Paradox Theory to resolve paradoxes across diverse domains. 1. Introduction Zeno's paradoxes, particularly the Achilles and the Tor...