Nondistributivity of human logic and violation of response replicability effect in cognitive psychology

Ozawa, Masanao; Khrennikov, Andrei

doi:10.1016/j.jmp.2022.102739

Cited by 5 publications

(16 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As was shown in article [139], RRE can be checked experimentally. For the moment, only one experimental test was done [140] and its design and methodology was questioned by a few researchers, see comments on PLOS One web-page for this article.…”

Section: Are Humans Classical or Quantum Reasoners?mentioning

confidence: 90%

“…We can mention just one experiment [140]. We hope that the result and discussion in paper [139] would stimulate psychologists to perform experiments to check RRE.…”

Section: Emotional Coloring Of Conscious Experiencesmentioning

confidence: 92%

“…Quantum logic corresponds to the linear representation of information. The basic law distinguishing classical (Boolean) and quantum logic is the distributivity law, it is violated in quantum logic (see article [139] for the details). We now briefly recall the basics of quantum logic [136,137] (cf.…”

Section: Quantum Formalism For Decision Makingmentioning

confidence: 99%

“…Theorem A. [139] Let P, Q, R be projections. They are pairwise commutative if and only the distributivity law (3) holds for X, Y, Z = P, Q, R, P , Q, R.…”

Section: Quantum Formalism For Decision Makingmentioning

confidence: 99%

“…From the first sight, it seems to be impossible to characterize distributive vs. non-distributive (classical vs. non-classical) reasoning in experimentally testable way. However, such characterization was obtained in [139] and it is based on testing of the response replicability effect (RRE).…”

Section: Are Humans Classical or Quantum Reasoners?mentioning

confidence: 99%

See 4 more Smart Citations

Quantum Probability for Modeling Cognition, Decision Making, and Artificial Intelligence

Khrennikov

2022

Springer Proceedings in Mathematics &Amp; Statistics

View full text Add to dashboard Cite

The aim of this review is to highlight the possibility to apply the mathematical formalism and methodology of quantum theory to model behaviour of complex biosystems, from genomes and proteins to animals, humans, ecological and social systems. Such models are known as quantum-like and they should be distinguished from genuine quantum physical modeling of biological phenomena. One of the distinguishing features of quantum-like models is their applicability to macroscopic biosystems, or to be more precise, to information processing in them. Quantum-like modeling has the base in quantum information theory and it can be considered as one of the fruits of the quantum information revolution. Since any isolated biosystem is dead, modeling of biological as well as mental processes should be based on theory of open systems in its most general form -theory of open quantum systems. In this review we advertise its applications to biology and cognition, especially theory of quantum instruments and quantum master equation. We mention the possible interpretations of the basic entities of quantum-like models with special interest to QBism is as may be the most useful interpretation.

show abstract

Section: Are Humans Classical or Quantum Reasoners?mentioning

confidence: 90%

“…We can mention just one experiment [140]. We hope that the result and discussion in paper [139] would stimulate psychologists to perform experiments to check RRE.…”

Section: Emotional Coloring Of Conscious Experiencesmentioning

confidence: 92%

Section: Quantum Formalism For Decision Makingmentioning

confidence: 99%

“…Theorem A. [139] Let P, Q, R be projections. They are pairwise commutative if and only the distributivity law (3) holds for X, Y, Z = P, Q, R, P , Q, R.…”

Section: Quantum Formalism For Decision Makingmentioning

confidence: 99%

Section: Are Humans Classical or Quantum Reasoners?mentioning

confidence: 99%

See 3 more Smart Citations

Quantum Probability for Modeling Cognition, Decision Making, and Artificial Intelligence

Khrennikov

2022

Springer Proceedings in Mathematics &Amp; Statistics

View full text Add to dashboard Cite

show abstract

Quantum formalism for the dynamics of cognitive psychology

Brody

2023

Sci Rep

View full text Add to dashboard Cite

The cognitive state of mind concerning a range of choices to be made can be modelled efficiently by use of an element of a high-dimensional Hilbert space. The dynamics of the state of mind resulting from information acquisition can be characterised by the von Neumann–Lüders projection postulate of quantum theory. This is shown to give rise to an uncertainty-minimising dynamical behaviour equivalent to Bayesian updating, hence providing an alternative approach to representing the dynamics of a cognitive state, consistent with the free energy principle in brain science. The quantum formalism, however, goes beyond the range of applicability of classical reasoning in explaining cognitive behaviour, thus opening up new and intriguing possibilities.

show abstract

Soft Logic as an Extension of Pascal’s Work

Klein,

Maimon

2023

P-Adic Num Ultrametr Anal Appl

View full text Add to dashboard Cite

Nondistributivity of human logic and violation of response replicability effect in cognitive psychology

Cited by 5 publications

References 31 publications

Quantum Probability for Modeling Cognition, Decision Making, and Artificial Intelligence

Quantum Probability for Modeling Cognition, Decision Making, and Artificial Intelligence

Quantum formalism for the dynamics of cognitive psychology

Soft Logic as an Extension of Pascal’s Work

Contact Info

Product

Resources

About