fkusumot on 05 July 2008
| The Ghost of RubangB said: Achilles needs to go to the bathroom. The bathroom is 100 meters away. He walks halfway there, and has 50 meters left, he walks halfway and has 25 meters left, he walks halfway and has 12.5 meters left, etc. etc. etc. He walks halfway there infinitely and can never reach it. |
This is only a misconception. The misconception is that an infinite amount of terms necessarily equals an infinite amount. You can have an infinite amount of terms like this:
1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 ... = 1
The amount of terms (or points) is not equal to an infinite amount of space. Or in other words, you cover an infinite amount of points every time you move but you don't cover an infinite amount of space.
