The Dichotomy Paradox is a philosophical problem attributed to the ancient Greek philosopher Zeno of Elea. It illustrates the challenges of motion and infinity by suggesting that before an object can reach its destination, it must first cover half the distance. Then, it must cover half of the remaining distance, and so on, leading to an infinite number of steps. This reasoning implies that motion is impossible because one can always find another halfway point to reach. The paradox raises questions about the nature of space, time, and the concept of infinity, prompting discussions in both philosophy and mathematics.