Logic of sets and logic of waves in cognitive-behavioral modeling

Ilya A. Surov

ITMO University

Cognitive-behavioral processes routinely deviate from classical models, assuming the deterministic rationality of actors. The paper revises the logical foundations behind these limitations. A major such premise is shown to be the use of classical probability theory and the logic of sets (including fuzzy ones) behind it, sometimes mistakenly considered as the only option. According to the natural dualism of discreteness – continuity and particle – wave, another possibility is the logic of waves and the corresponding probability calculus. The efficiency of this logic in cognitive-behavioral modeling is demonstrated in the experiments «prisoner’s dilemma» and «two-stage gamble». A wave-like probabilistic model complements the logic of sets with an additional factor, quantifying violations of classical rationality in these experiments. Phases of the interfering cognitive waves in this model account for the subjectively-semantic regularities of natural thinking, ignored in classical approaches. These new regularities enable probabilistic forecast of «irrational» decisions in novel contexts. Unique features of wave logic, common to optical, holographic, and quantum algorithms of information, open novel prospects for cognitive- behavioral modeling and data analysis.

wave logic, cognitive interference, behavioral modeling, probabilistic prognosis, set calculus, rationality