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A general tension-reduction (GTR) model was recently considered (Aerts & Sassoli de Bianchi, 2015a,b) to derive quantum probabilities as (universal) averages over all possible forms of non-uniform fluctuations , and explain their considerable success in describing experimental situations also outside of the domain of physics, for instance in the ambit of… (More)

The scientific community is becoming more and more interested in the research that applies the mathematical formalism of quantum theory to model human decision-making. In this paper, we expose the theoretical foundations of the quantum approach to cognition that we developed in Brussels. These foundations rest on the results of two decade studies on the… (More)

We present a very general geometrico-dynamical description of physical or more abstract entities, called the general tension-reduction (GTR) model, where not only states, but also measurement-interactions can be represented, and the associated outcome probabilities calculated. Underlying the model is the hypothesis that indeterminism manifests as a… (More)

The research on human cognition has recently benefited from the use of the mathematical formalism of quantum theory in Hilbert space. However, cognitive situations exist which indicate that the Hilbert space structure, and the associated Born rule, would be insufficient to provide a satisfactory modeling of the collected data, so that one needs to go beyond… (More)

The formalism of quantum theory in Hilbert space has been applied with success to the modeling and explanation of several cognitive phenomena, whereas traditional cognitive approaches were problemat-ical. However, this 'quantum cognition paradigm' was recently challenged by its proven impossibility to simultaneously model 'question order effects' and… (More)

The 'conjunction fallacy' has been extensively debated by scholars in cognitive science and, in recent times, the discussion has been enriched by the proposal of modeling the fallacy using the quantum formalism. Two major quantum approaches have been put forward: the first assumes that respondents use a two-step sequential reasoning and that the fallacy… (More)

- Diederik Aerts, Jonito Aerts Arguëlles, Lester Beltran, Lyneth Beltran, Massimiliano Sassoli de Bianchi, Sandro Sozzo +1 other
- ArXiv
- 2016

The mathematical formalism of quantum theory exhibits significant effectiveness when applied to cogni-tive phenomena that have resisted traditional (set theoretical) modeling. Relying on a decade of research on the operational foundations of micro-physical and conceptual entities, we present a theoretical framework for the representation of concepts and… (More)

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