Zeno's Dichotomy Paradox:
In order to get to a location, you first must get halfway there. In order to get halfway there, you first must get a quarter of the way there. In order to get a quarter of the way there, you must first get an eighth of the way there. In order to get an eighth of the way there, you first must get a sixteenth of the way there, and so on. The division proceeds forever. Thus we can say in order to cross any distance, an infinite number of points needs to be crossed. Movement is impossible.
Though obviously movement isn't impossible, we do cross an infinite number of points with any and every movement. It's strange to think about.