In this paper we enrich the orthomodular structure by adding a modal operator, following a physical motivation.
Quantum mathematics is slippery business as Dunn showed that if one tries to formulate second order orthomodular quantum logic with a certain minimal principle of extensionality, one is doomed to failure in the sense that the resultant system collapses to its classical counterpart Dunn Andreas Kapsner. Other books in this series. Modelling of psychological behavior on the basis of ultrametric mental space: encoding of categories by balls. PAGE 1.
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