Think of a string of pearls. This necklace itself is not smooth, since each pearl is a discrete self-contained unit, sitting next to another pearl, that is, next to another discrete self-contained unit, with a slight gap in between each unit. Such an entity, composed of finite discrete units, can only be divided into these units finitely often. If we divide a pearl strand enough we eventually reach the level of an individual pearl – an indivisible atom in broad sense of the term – and we cannot divide further without changing the sort of dividing that we are doing. A pearl necklace has a lowest level of division.