In da Costa and de Ronde (2013) we discussed the possibility of considering quantum superpositions in terms of a paraconsistent approach. We argued that, even though most interpretations of quantum mechanics attempt to escape contradictions, there are many reasons that indicate it could be worthwhile to engage in a research of this kind. Recently, Arenhart and Krause (2016) have raised several arguments against this Paraconsistent Approach to Quantum Superpositions (PAQS). In this paper I attempt to answer the main questions and obstacles presented by them. I will argue, firstly, that the obstacles addressed by Arenhart and Krause are based on a specific stance grounded on an actualist metaphysics—which implicitly presupposes classical logic. Secondly, that there are many interpretations that investigate the possibility of developing a different mode of existence to that of actuality for which the PAQS might be regarded as a valuable prospect. Finally, we provide a set of specific answers to the main problems raised by Arenhart and Krause in order to clarify the original perspective introduced by the PAQS.
A Defense of the Paraconsistent Approach to Quantum Superpositions (Reply to Arenhart and Krause)
