The appropriate lattice structure of its logic is obtained from a binary relation transformed from a distribution of the joint probabilities of data and hypotheses by employing a rough-set lattice technique in accordance with quantum cognition logic.Ĭognitive predictive behaviors that are found in brain function, biological information processing, and cognitive sciences have been recently described and explained using the free energy minimization principle ( Friston et al., 2006 Friston and Kiebel, 2009a, b). It is constructed by enhancing the idea of active inference and/or embodied intelligence. Excess Bayesian inference is implemented by extending the key idea of Bayesian inference beyond classic Bayesian inference and its variations. In this work, we introduce “excess Bayesian inference” and show that this excess Bayesian inference entails an underlying orthomodular lattice, while classic Bayesian inference entails a Boolean lattice. Thus, we address this challenging issue to bridge and connect the free energy minimization principle with the theory of quantum cognition. While free energy minimization, which incorporates Bayesian inference, leads to a Boolean lattice of propositions (classical logic), quantum cognition, which seems to be very dissimilar to Bayesian inference, leads to an orthomodular lattice of propositions (quantum logic). It appears that the free energy minimization principle conflicts with quantum cognition since the former adheres to a restricted view based on experience while the latter allows deviations from such a restricted view.
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