However, given this distinction, we are not able to say that the line, or any continuum, is composed of indivisibles such as points, because then points would be the bottom level of the line, and we would have to say the line is not infinitely divisible after all. That contradicts continuity. But since points are vital to our thinking about lines, it seems we should be able to say more about how they occur there. This is one puzzle that animated mediaeval thinkers: how do the indivisible points on a continuous line relate to that line?