This is the first article in the series entitled Nature: The Supreme Logician. I describe how new methods in mathematical logic automatically yield the logical existence of subparticles. The necessity for subparticles follows from the most basic logical operator that produces a describable change in the behavior of a natural system. Subparticles apparently yield a mediating structure for all quantum transitions, provide an actual substratum for relativistic and cosmological theories and may be the physical basis for a pregeometry. It is shown that subparticles, their applications and their production by a describable supermind process restore a universal causality and determinancy to sytems that are describable by means of a quantum mechanical language, among others.