Topics in Cognitive Science 5 (4):711-736 (2013)

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 () 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
Keywords Quantum interference  Quantum probability  Contextualism  Neuronal network  Fuzzy logic  Borderline contradictions  Vagueness
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DOI 10.1111/tops.12041
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References found in this work BETA

Vagueness.Timothy Williamson - 1994 - London and New York: Routledge.
Vagueness, Truth and Logic.Kit Fine - 1975 - Synthese 30 (3-4):265-300.
Singular Terms, Truth-Value Gaps, and Free Logic.Bas Van Fraassen - 1966 - Journal of Philosophy 63 (17):481-495.
Vagueness.Bertrand Russell - 1923 - Australasian Journal of Philosophy 1 (2):84 – 92.

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How to Respond to Borderline Cases.Dan López de Sa - 2010 - In Sebastiano Moruzzi & Richard Dietz (eds.), Cuts and Clouds. Oxford University Press.
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