Unification of two approaches to quantum logic: Every Birkhoff – Von Neumann quantum logic is a partial infinite-valued łukasiewicz logic
Studia Logica (forthcoming)
| Abstract | In the paper it is shown that every physically sound Birkhoff – von Neumann quantum logic, i.e., an orthomodular partially ordered set with an ordering set of probability measures can be treated as partial infinite-valued Łukasiewicz logic, which unifies two competing approaches: the many-valued, and the two-valued but non-distributive, which have co-existed in the quantum logic theory since its very beginning. | |||||||||
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