Please use this identifier to cite or link to this item: http://hdl.handle.net/2381/32401
Title: A quantum probability explanation in Fock space for borderline contradictions
Authors: Sozzo, Sandro
First Published: 5-Dec-2013
Publisher: Elsevier, Society for Mathematical Psychology
Citation: Journal of Mathematical Psychology, 2014, 58, pp. 1-12 (12)
Abstract: 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.
DOI Link: 10.1016/j.jmp.2013.11.001
ISSN: 0022-2496
Links: http://www.sciencedirect.com/science/article/pii/S0022249613001077
http://hdl.handle.net/2381/32401
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Archived with reference to SHERPA/RoMEO and publisher website. Creative Commons Attribution - NonCommercial - NoDerivs 4.0 (CC BY-NC-ND 4.0) (https://creativecommons.org/licenses/by-nc-nd/4.0/)
Appears in Collections:Published Articles, School of Management

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