Fuzzy sets in foundations of quantum mechanics

Abstract

Three times in my scientific life I fell in love. For the first time, in the middle of the Seventies of the XX Century the object of my love was (and still is, since real love never ends) the theory of quantum logics. Quantum logics are mathematical structures that are encountered in the very foundations of quantum mechanics. Formally, they are order-theoretic structures more general than Boolean algebras: orthomodular partially ordered sets or lattices, that are believed to represent properties of quantum objects in the same way as Boolean algebras represent properties of objects that conform to laws of classical physics. © 2013 Springer-Verlag Berlin Heidelberg.