Zeno of Elea

Zeno of Elea studied under Parmenides in southern Italy around 490 BC, absorbing his teacher's conviction that reality is a single, unchanging entity. To defend that view, Zeno constructed a series of paradoxes targeting the very existence of space, time, and motion. His arguments against plurality claimed that if multiple things exist, they must be infinitely divisible - leaving them with both infinite mass and no mass at once. His arguments against motion insisted that crossing any distance requires infinite steps, making movement logically impossible. Though his own writings vanished, Plato, Aristotle, and later commentators preserved enough for his puzzles to haunt philosophy and mathematics ever since. Atomic theory, calculus, and set theory have all taken runs at his logic, but no consensus solution exists.