Achilles and the Tortoise

Achilles and the Tortoise is a famous paradox proposed by the ancient Greek philosopher Zeno. It illustrates a concept in mathematics and logic about motion and infinity. In the scenario, Achilles, a swift warrior, races a slow-moving tortoise. To make it fair, the tortoise starts ahead. Zeno argues that Achilles can never catch the tortoise, as whenever he reaches the point where the tortoise began, the tortoise has moved ahead. This challenges our understanding of motion and time, highlighting how dividing movement into infinite parts can lead to seemingly illogical conclusions about speed and distance.