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A Quantum Probability Perspective on Borderline Vagueness
Author(s) -
Blutner Reinhard,
Pothos Emmanuel M.,
Bruza Peter
Publication year - 2013
Publication title -
topics in cognitive science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.191
H-Index - 56
eISSN - 1756-8765
pISSN - 1756-8757
DOI - 10.1111/tops.12041
Subject(s) - vagueness , probabilistic logic , phenomenon , perspective (graphical) , computer science , epistemology , quantum , property (philosophy) , quantum interference , fuzzy logic , psychology , artificial intelligence , philosophy , physics , quantum mechanics
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 ([Alxatib, 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 substantial 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.