The Dichotomy Paradox is a philosophical problem related to motion and distance, famously discussed by the ancient Greek philosopher Zeno of Elea. It suggests that before an object can reach its destination, it must first cover half the distance. However, before it can cover that half, it must cover half of that half, and so on, leading to an infinite number of steps. This creates a contradiction: if there are infinitely many steps to take, how can the object ever reach its destination? The paradox challenges our understanding of motion and has implications in mathematics, particularly in the study of infinity and calculus.