Context and Interference Effects in the Combinations of Natural Concepts
This provides a unified solution for cognitive psychology by addressing systematic experimental anomalies in membership judgments, though it is incremental as it builds on prior quantum applications to cognition.
The authors tackled the conceptual combinations problem in cognitive psychology by applying quantum theory to model how natural concepts combine, explaining observed deviations from classical structures through quantum effects like interference and context-dependence.
The mathematical formalism of quantum theory exhibits significant effectiveness when applied to cognitive phenomena that have resisted traditional (set theoretical) modeling. Relying on a decade of research on the operational foundations of micro-physical and conceptual entities, we present a theoretical framework for the representation of concepts and their conjunctions and disjunctions that uses the quantum formalism. This framework provides a unified solution to the 'conceptual combinations problem' of cognitive psychology, explaining the observed deviations from classical (Boolean, fuzzy set and Kolmogorovian) structures in terms of genuine quantum effects. In particular, natural concepts 'interfere' when they combine to form more complex conceptual entities, and they also exhibit a 'quantum-type context-dependence', which are responsible of the 'over- and under-extension' that are systematically observed in experiments on membership judgments.