suppose that a man wants to cross to the far wall of a room that is 20 ft to arrive at the 5 ft mark. Dividing the distance in half again, he crosses...

suppose that a man wants to cross to the far wall of a room that is 20 ft to arrive at the 5 ft mark. Dividing the distance in half again, he crosses to the 2.5 ft-mark, and continues to cross the room in this way, dividing each distance in half and crossing to that point. Because each of the increasingly smaller distances can be divided in half, he mush reach an infinite number of "midpoints" in a finite amount of time, and will never reach the wall.