Suppose that the swift Achilles is having a race with a tortoise. Since the tortoise is much slower, she gets a head start. When the tortoise has reached a given point a, Achilles starts. But by the time Achilles reaches a, the tortoise has already moved beyond point a, to point b. And by the time Achilles reaches b the tortoise has already moved a little bit farther along, to point c. Since this process goes on indefinitely, Achilles can never catch up with the tortoise.

How can this be?

Taken from - http://members.aol.com/kiekeben/zeno.html

It looks like mathematical and intuitive solutions don't agree.
But think again.
Infinity was not defined with math, it was defined intuitively as 'infinity'.

So the solution is this: in the universe where infinity exists, in that infiniti paralell lines do cross, and Achilles never reaches the turtle.

Down with infinity!!!

Posted by vlad on 2003-10-09 10:26:37