““Of all conceivable reasons for some sequence of physical events Plato recognizes only its ultimate aim as worthy of attention. The world is as it is simply because the demiurge wanted to create something perfect. With this background, Plato's viewpoint on matter in empty space becomes understandable. Mathematical possibilities appear as ur-shapes of matter giving structure to space. Matter and space are mathematical forms that distinguish themselves through symmetry and beauty. These forms, or shapes, belong to the realm of ideas; the ultimate aim of matter and space is the realization of these forms. Once they are perfect, they must be realized-that is the logic of the proof advanced in Plato's Timaeus.””