When change seems smooth we often regard it as continuous. For example, we think that a color increasing continuously in intensity takes on every intermediate brightness value as it intensifies, and an object changing location continuously (i.e., moving) takes up every intermediate space between its starting point and its destination. Moreover, it is customary in geometry to assume the absolute continuity of the line, say. A line is absolutely smooth, divisible in thought at any location we like. An important point for the analysis of such cases is that the smoothness of continuous magnitudes and changes can be expressed by and correlated with infinite divisibility. A simple example makes this plain.