Zeno's paradox

Zeno's paradoxes are a set of philosophical puzzles attributed to the ancient Greek philosopher Zeno of Elea, designed to show that motion and change are impossible.

The most famous involves Achilles racing a tortoise: if the tortoise has a head start, Achilles must first reach where the tortoise was, but by then the tortoise has moved ahead—and this continues infinitely, so Achilles can never catch up.

Another version argues you can never cross a room because you must first cross half the distance, then half of what remains, and so on forever.

The paradoxes highlight deep problems about infinity, continuity, and how we divide space and time.

It's like Zeno's paradox—every time I think I'm almost done, there's more to do.