Switch to: References

Add citations

You must login to add citations.
  1. Order Effects in Dynamic Semantics.Peter Beim Graben - 2014 - Topics in Cognitive Science 6 (1):67-73.
    In their target article, Wang and Busemeyer (2013) discuss question order effects in terms of incompatible projectors on a Hilbert space. In a similar vein, Blutner recently presented an orthoalgebraic query language essentially relying on dynamic update semantics. Here, I shall comment on some interesting analogies between the different variants of dynamic semantics and generalized quantum theory to illustrate other kinds of order effects in human cognition, such as belief revision, the resolution of anaphors, and default reasoning that result from (...)
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark  
  • A Quantum Probability Perspective on Borderline Vagueness.Reinhard Blutner, Emmanuel M. Pothos & Peter Bruza - 2013 - Topics in Cognitive Science 5 (4):711-736.
    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 (...)
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   12 citations  
  • Vector Logic Allows Counterfactual Virtualization by the Square Root of NOT.Eduardo Mizraji - forthcoming - Logic Journal of the IGPL.
    In this work, we investigate the representation of counterfactual conditionals using the vector logic, a matrix-vector formalism for logical functions and truth values. Inside this formalism, the counterfactuals can be transformed in complex matrices preprocessing an implication matrix with one of the square roots of NOT, a complex matrix. This mathematical approach puts in evidence the virtual character of the counterfactuals. This happens because this representation produces a valuation of a counterfactual that is the superposition of the two opposite truth (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  • Can Quantum Probability Provide a New Direction for Cognitive Modeling?Emmanuel M. Pothos & Jerome R. Busemeyer - 2013 - Behavioral and Brain Sciences 36 (3):255-274.
    Classical (Bayesian) probability (CP) theory has led to an influential research tradition for modeling cognitive processes. Cognitive scientists have been trained to work with CP principles for so long that it is hard even to imagine alternative ways to formalize probabilities. However, in physics, quantum probability (QP) theory has been the dominant probabilistic approach for nearly 100 years. Could QP theory provide us with any advantages in cognitive modeling as well? Note first that both CP and QP theory share the (...)
    Direct download (8 more)  
     
    Export citation  
     
    Bookmark   42 citations  
  • The Conceptual Necessity of Quantum Probabilities in Cognitive Psychology.Reinhard Blutner & Peter Beim Graben - 2013 - Behavioral and Brain Sciences 36 (3):280-281.
  • Quantum Cognition and Bounded Rationality.Reinhard Blutner & Peter Beim Graben - 2016 - Synthese 193 (10).
    We consider several puzzles of bounded rationality. These include the Allais- and Ellsberg paradox, the disjunction effect, and related puzzles. We argue that the present account of quantum cognition—taking quantum probabilities rather than classical probabilities—can give a more systematic description of these puzzles than the alternate treatments in the traditional frameworks of bounded rationality. Unfortunately, the quantum probabilistic treatment does not always provide a deeper understanding and a true explanation of these puzzles. One reason is that quantum approaches introduce additional (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   3 citations