Showing posts with label sybil. Show all posts
Showing posts with label sybil. Show all posts

Monday, May 14, 2007

Sybil the Rat

The rat, Sibyl, who lives beneath the trailer, wants to cross the room from one end to the other. Before she can cross the full distance, she must cross half the distance. Before she can cross the rest (half of the full distance) she must cross the next ¼. Before she can cover the last ¼, she must cover the next 1/8. And so on. Since covering any distance requires some time, it would take Sybil an infinite amount of time to cross all of the infinite distances. Therefore, Sibyl can never cross the room.

By the same argument, you could never cross the room either.

How can this be?