Aspects of the spectroscopies of molecules, atoms, nuclei, and the bare nucleon are briefly considered. In this sequence, in which we go to smaller and smaller size, we find corresponding spectroscopies in higher and higher energy ranges. This suggests the possibility that the hierarchy of structures is open-ended, as suggested by Empedocles in the fifth century B.C. Thus our understanding of the structure of matter seems to be proceeding by a series of successive approximations. The question then is, can we predict future higher order approximations on the basis of the lower order approximations already observed, or preferably can we understand the structure of matter in closed form?