Zeno's paradoxes twist logic and challenge motion

Ancient Greek philosopher Zeno of Elea created paradoxes that still baffle us, questioning how motion is even possible. His famous Dichotomy paradox suggests you can never start moving, as you must always cover half the distance first, then half of the remainder, infinitely. The Achilles and the Tortoise paradox similarly argues the swift Achilles can never catch a slower tortoise with a head start.