Nonseparability of inferribility and measurability in quantum mechanics as a Systema Magnum
Lars Löfgren
Abstract
Quantum measurement theory has a peculiar nature with its TWO processes of assertibility, by proof and by measurement, which is beyond formal logic. This two-sortedness with respect to assertibility is discussed in terms of developments of many--sorted logics, sometimes referred to as Logica Magna. Although useful insights are obtained this way, we argue that there is a nonseparability of inferribility and measurability that is understandable first with a shift from logic to language in its systemic conception. That is, from a Logica Magna to a Systema Magnum understood as a truly systemic whole of complementary description and interpretation processes. In introspective quantum mechanics as a Systema Magnum, the nonseparability sheds light on interconnections between formalism and experimentalism which, for example, helps a critical understanding of Deutsch’s hypothesis of a programmable experimentability ("quantum computation").