Zeno's paradoxes
Suppose someone wishes to get from point A to point B. First, they must move halfway. Then, they must go half of the remaining way. Continuing in this manner, there will always be some small distance remaining, and the goal would never actually be reached. There will always be another number to add in a series such as . So, motion from any point A to any different point B seems an impossibility. Going half the distance to a destination means you won't ever reach it, since you will have to go halfway from wherever you are.