Reflections on quantum logic

Boris Zelikovich Moroz

Jeffrey Bub

Sonja Smets

Do elements of microstate logic apply to microstate events? What is the relation between macrostate two-valued logic and microstate quantum logic as they reflect deterministic or random events in biology and medicine or even in other fields. The relations between different classifications of probability and logic are not often discussed in the popular literature. It could be especially interesting if random and “chaotic” events in these two realms exhibited identifiable differences affecting outcomes which if more fully understood could have implications for biologic, medical or other fields. Do the two forms of logic reflect identifiable differences in cancer biology?

Walter Hoering

Newton C. A. da Costa, Joseph Kouneiher

The main purpose of this paper is to present a new approach to logic or what we will call superlogic. This approach constitutes a new way of looking at the connection between quantum mechanics and logic. It is a geometrization of the quantum logic. Note that this superlogic is not distributive reflecting a good propriety to describe quantum mechanics, non-commutative spaces and contains a nilpotent element.