  The actual infinite division of all matter is, of course, sufficient  to rule out any standard picture of material atomism since any body  that might lay claim to being an indivisible atom would itself be  actually subdivided into smaller sub-bodies. But Leibniz is not done. Even more radically, he argues that Descartes’s initial  considerations lead not “merely” to the conclusion that  there are no smallest bodies, but furthermore show that strictly  speaking no determinate shapes can be ascribed to bodies at all. 