A quantum probability perspective on borderline vagueness

Blutner, Reinhard, Pothos, Emmanuel M., & Bruza, Peter (2013) A quantum probability perspective on borderline vagueness. Topics in Cognitive Science, 5(4), pp. 711-736.

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Abstract

The term “vagueness” describes a property of natural concepts, which normally have fuzzy boundaries, admit borderline cases, and are susceptible to Zeno’s sorites paradox. We will discuss the psychology of vagueness, especially experiments investigating the judgment of borderline cases and contradictions. In the theoretical part, we will propose a probabilistic model that describes the quantitative characteristics of the experimental finding and extends Alxatib’s and Pelletier’s (2011) theoretical analysis. The model is based on a Hopfield network for predicting truth values. Powerful as this classical perspective is, we show that it falls short of providing an adequate coverage of the relevant empirical results. In the final part, we will argue that a substan- tial modification of the analysis put forward by Alxatib and Pelletier and its probabilistic pendant is needed. The proposed modification replaces the standard notion of probabilities by quantum probabilities. The crucial phenomenon of borderline contradictions can be explained then as a quantum interference phenomenon.

Impact and interest:

22 citations in Scopus
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19 citations in Web of Science®

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ID Code: 54019
Item Type: Journal Article
Refereed: Yes
Funders: ARC
Keywords: Borderline contradictions; Contextualism; Fuzzy logic; Neuronal network; Quantum interference; Quantum probability; Vagueness
DOI: 10.1111/tops.12041
ISSN: 1756-8765
Subjects: Australian and New Zealand Standard Research Classification > PSYCHOLOGY AND COGNITIVE SCIENCES (170000) > COGNITIVE SCIENCE (170200) > Decision Making (170202)
Australian and New Zealand Standard Research Classification > PSYCHOLOGY AND COGNITIVE SCIENCES (170000) > COGNITIVE SCIENCE (170200) > Linguistic Processes (incl. Speech Production and Comprehension) (170204)
Divisions: Current > Institutes > Institute for Future Environments
Past > Schools > Information Systems
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Funding:
Copyright Owner: Copyright 2013 Cognitive Science Society, Inc
Deposited On: 23 Sep 2013 01:21
Last Modified: 03 Nov 2014 08:48

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