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
(In reply to
Why is this a paradox? by Adam Champken)
even thinking mathematically, it does not reach infinity. Infinity is a limitless number and using the solution "simple" shows that this does have a limiting point. So in reality, no matter how you put this problem, it is really not a paradox.