Zeno's Paradoxes are a set of philosophical problems formulated by the ancient Greek philosopher Zeno of Elea. They challenge our understanding of motion and infinity, suggesting that motion is impossible because it involves completing an infinite number of tasks in a finite time. One famous paradox, "Achilles and the Tortoise," argues that a faster runner, Achilles, can never overtake a slower tortoise if the tortoise has a head start, as Achilles must first reach the point where the tortoise began.
Another well-known paradox is "The Dichotomy," which states that before reaching a destination, one must first cover half the distance, then half of the remaining distance, and so on, leading to an infinite number of steps. These paradoxes have sparked discussions in philosophy and mathematics, particularly in the fields of calculus and set theory, as they explore the nature of infinity and continuity.