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Seminarium i matematik

Quantum-like modelling nondistributivity of human logic

Välkommen till föreläsningen i seminarieserien i matematik.

The aim of this talk is to promote quantum logic as one of the basic tools of human reasoning. We compare it with classical (Boolean) logic and highlight  the role of violation of the distributivity law for conjunction and disjunction. It is shown that nondistributivity is equivalent to incompatibility of logical variables - the impossibility to assign jointly the values to these variables. We motivate that the use of quantum logic, concretely incompatible variables,   speeds up the process of reasoning. The natural question whether quantum logical nondistributivity can be tested experimentally arises. We found that testing of the response replicability effect is equivalent to testing nondistributivity (under the assumption that the mental state update generated by observation is described as orthogonal projection).