One of the oldest paradoxes.
Zeno’s paradox describes a situation where it is imagined to be impossible for Achilles to catch up to a tortoise, because he would need to divide the distance between him and the tortoise infinitely many times to get there, so it should be impossible.
It is assumed he will get half as close, and then half as close as that, on and on into infinitely small halves.
The paradox can be represented as an infinite sum:
Of course, he can pass it, and this paradox represents the foundation of calculus, which enables us to collapse infinite series by taking the limit.
This series converges to 1.
