  Construal of observable facts or events, that is, the manner in which we
understand reality, is based not only on mathematical formulas of a theory
suggested as a reasonable explanation for physical phenomena (like general
relativity or quantum mechanics), but also on a mathematical model of reasoning
used to analyze and appraise statements regarding the objective world (for
example, logic of one type or the other). Hence, every time that a certain
construal of reality encounters a problem, there is a choice between a
modification to the mathematical formalism of the physical theory and a change
in the model of reasoning. A case in point is negative construal of quantum
superposition causing the problem of definite outcomes. To be sure, according
to the said construal, it is not the case that a system being in a
superposition of states is exclusively in one of the states constituting the
superposition, which in turn implies that macroscopically differing outcomes of
observation may appear all at once. The usual approach to the problem of
definite outcomes is to modify the quantum mathematical formalism by adding to
it some extra postulates (for instance, the postulate of wave function
collapse). However, since none of the extra postulates proposed so far has
gained broad acceptance, one may try another avenue to resolve the problem,
namely, to replace logic with an alternative mathematical model of reasoning.
This possibility is studied in the present paper.
