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A quantum probability explanation in Fock space for borderline contradictions

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journal contribution
posted on 23.06.2015, 08:51 by Sandro Sozzo
The construction of a consistent theory for structuring and representing how concepts combine and interact is one of the main challenges for the scholars involved in cognitive studies. All traditional approaches are still facing serious hindrances when dealing with combinations of concepts and concept vagueness. One of the main consequences of these difficulties is the existence of borderline cases which is hardly explainable from the point of view of classical (fuzzy set) logic and probability theory. Resting on a quantum-theoretic approach which successfully models conjunctions and disjuncions of two concepts, we propound a quantum probability model in Fock space which faithfully reproduces the experimental data collected by Alxatib and Pelletier (2011) on borderline contradictions. Our model allows one to explain the occurrence of the latter contradictions in terms of genuine quantum effects, such as contextuality, superposition, interference and emergence. In particular, we claim that it is the specific mechanism of ‘emergence of a new concept’ that is responsible of these deviations from classical logical thinking in the cognitive studies on human thought. This result seems to be compatible with a recent interesting application of quantum probabilistic modeling in the study of borderline vagueness (Blutner, Pothos & Bruza, 2013), and analogies and differences with it are sketched here.

History

Citation

Journal of Mathematical Psychology, 2014, 58, pp. 1-12 (12)

Author affiliation

/Organisation/COLLEGE OF SOCIAL SCIENCE/School of Management

Version

AM (Accepted Manuscript)

Published in

Journal of Mathematical Psychology

Publisher

Elsevier, Society for Mathematical Psychology

issn

0022-2496

Available date

05/12/2015

Publisher version

http://www.sciencedirect.com/science/article/pii/S0022249613001077

Language

en