Unified interpretation of quantum and classical logics

Kenji Tokuo

pp. 1-7

in: Axiomathes 24 (1), 2014.

Abstract

Quantum logic is only applicable to microscopic phenomena while classical logic is exclusively used for everyday reasoning, including mathematics. It is shown that both logics are unified in the framework of modal interpretation. This proposed method deals with classical propositions as latently modalized propositions in the sense that they exhibit manifest modalities to form quantum logic only when interacting with other classical subsystems.