Adaptive Dynamics and Optical Illusion on Schröder’s Stair

Violation of contextual generalization of the Leggett–Garg inequality for recognition of ambiguous figures

“…A violation of the contextual LG inequality by statistical data collected for observations of the Schröder stair rotated for different angles supports the contextual cognition paradigm presented in the series of works [6], [19]- [24], [14]. Our experimental statistical data is fundamentally contextual.…”

“…Recently a quantum-like model of recognition of ambiguous figures was presented in the paper of Asano et al [14]. The model matches very well with experimental data on determination of the structure of the Schröder stair which was shown with rotations for different angles.…”

“…As was emphasized, the very notion of (non)invasive measurement loses its clearness for self-measuring devices and the brain is one of such devices. The paper advertises the contextual viewpoint on the mental phenomena developed in the series of works [6], [19]- [24], [14]. It seems that Bell type inequalities, including the temporal ones, can be used to distinguish contextual and non-contextual realism and more generally (since mental processes are fundamentally random) contextual and non-contextual probabilistic representations.…”

“…In this paper we consider the possibility to use the inequalities of the LG type to check "quantum-likeness" of statistical data collected [14] in experimental studies on bistable perception. We interpret the LG inequality as a kind of contextual probabilistic inequality in which one combines data collected in experiments performed for three different contexts, cf.…”

“…In particular, mental contextuality is one of the main motivations for applications of the quantum formalism to modeling of cognition [6], [19]- [24], [14] and more generally biological information processing 2 [25], [26], since quantum mechanics is also fundamentally contextual. Typically quantum contextuality is expressed in the form of the KochenSpecker theorem.…”