A New Logic for Quantum Mechanics?
Eftichios Bitsakis
Keywords: logic, quantum mechanics, three-valued logic, calculus
The debate concerning the status of a logic adequate for Quantum Mechanics (Q.M.) continues, fifty years after the formulation of the so called "quantum logic" by Hans Reichenback. The two dominant theses in this debate, are the following: 1) Quantum logic-a three valued logic- is the apparatus suitable for Q.M. 2) Classical, two valued logic is sufficient for Q.M. There is no quantum logic, but only a propositional calculus expressing the specific character of quantum mechanical phenomena. However as I will try to show, a third answer to this question is not impossible.
