Zeno's Paradoxes

Stand up, if you can. Walk to the nearest wall. It takes a few seconds, maybe less. You did not think about it. You did not plan a route through infinite subdivisions of space. You just walked, and you arrived. Now try to explain how. To reach the wall, you first had to cross half the distance. Fine. But before you could cover that remaining half, you had to cross half of it — a quarter of the original. And before you could finish that, half again — an eighth. Then a sixteenth. A thirty-second. Each step leaves another half to halve. The sequence of remaining distances never terminates. There is always another slice to cross, another half waiting between you and the wall. So, by this logic, you can never arrive. Motion is impossible. You are frozen in place by an infinite regress of midpoints. This is not a riddle. This is one of the oldest recorded arguments in Western philosophy, and the person who made it was not confused.