Base Sets and Fundamental Structure Terms for a Theory of Microsystems

Abstract

As already pointed out in I, we intend to construct an axiomatic basis for quantum mechanics, beginning only with sets and structures interpretable by known pretheories. Therefore, we cannot start with a set M interpreted as a set of microsystems as in [2] (see [3] § 5 for abbreviated formulations such as “set of microsystems”). We rather “question” the existence of a microsystem, i.e. we will theoretically retrace the discovery of microsystems. In the theory to be constructed we do this by obtaining the microsystems as physical realities only through a physically real set (derived from the basic sets) with a physically real structure (in the sense of [3] § 10.5).