Uncertainty about the value of quantum probability for cognitive modeling

Behme, Christina

doi:10.1017/s0140525x12002889

Cited by 3 publications

(4 citation statements)

References 5 publications

(4 reference statements)

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“…These kinds of formalist models are of course wholly inadequate in capturing the truly complex process of discernment (Behme, 2013). Following a more inclusive materialism, such models might be more conducive to the study of entangled concepts whose rich indeterminism might make them con/fused and related (see Aerts et al 2013 for this approach).…”

Section: Discussionmentioning

confidence: 99%

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The Quantum Mind: Alternative Ways of Reasoning with Uncertainty

Freitas

Sinclair

2018

Can. J. Sci. Math. Techn. Educ.

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Human reasoning about and with uncertainty is often at odds with the principles of classical probability. Order effects, conjunction biases, and sure-thing inclinations suggest that an entirely different set of probability axioms could be developed and indeed may be needed to describe such habits. Recent work in diverse fields, including cognitive science, economics, and information theory, explores alternative approaches to decision theory. This work considers more expansive theories of reasoning with uncertainty while continuing to recognize the value of classical probability. In this paper, we discuss one such alternative approach, called quantum probability, and explore its applications within decision theory. Quantum probability is designed to formalize uncertainty as an ontological feature of the state of affairs, offering a mathematical model for entanglement, de/coherence, and interference, which are all concepts with unique onto-epistemological relevance for social theorists working in new and trans-materialisms. In this paper, we suggest that this work be considered part of the quantum turn in the social sciences and humanities. Our aim is to explore different models and formalizations of decision theory that attend to the situatedness of judgment. We suggest that the alternative models of reasoning explored in this article might be better suited to queries about entangled mathematical concepts and, thus, be helpful in rethinking both curriculum and learning theory.

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Section: Discussionmentioning

confidence: 99%

“…Both CP and QP freeze the event in order to grapple with its possible outcomes, and in this they both fail to really capture the dynamism of the event (Behme, 2013). But, importantly, they impose very different models on that event.…”

Section: Reasoning and Probabilitymentioning

confidence: 99%

The Quantum Mind: Alternative Ways of Reasoning with Uncertainty

Freitas

Sinclair

2018

Can. J. Sci. Math. Techn. Educ.

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“…Scientific literature reports that quantum probability (QP) can correctly describe such behaviors [3], sometimes leading to the suggestion that the unique brain capabilities should rest on the law of quantum mechanics, thereby making it the fundamental pillar of the emergence of the mind [4][5][6][7]. Such a debate is still open, with controversial positions (e.g., see the commentary debate of Pothos and Busemeyer [1], and the position of Behme [8], Dzhafarov and Kujala [9], Houston and Wiesner [10]).…”

Section: Introductionmentioning

confidence: 99%

Approaching Bounded Rationality: From Quantum Probability to Criticality

Tonello

Grigolini

2021

Entropy

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The bounded rationality mainstream is based on interesting experiments showing human behaviors violating classical probability (CP) laws. Quantum probability (QP) has been shown to successfully figure out such issues, supporting the hypothesis that quantum mechanics is the central fundamental pillar for brain function and cognition emergence. We discuss the decision-making model (DMM), a paradigmatic instance of criticality, which deals with bounded rationality issues in a similar way as QP, generating choices that cannot be accounted by CP. We define this approach as criticality-induced bounded rationality (CIBR). For some aspects, CIBR is even more satisfactory than QP. Our work may contribute to considering criticality as another possible fundamental pillar in order to improve the understanding of cognition and of quantum mechanics as well.

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“…However, this increase in generality raises the question: Does the success of quantum models rely on greater model complexity? Although this question is often raised (Rakow, 2013; Behme, 2013; Shanteau & Weiss, 2013), it has rarely been formally examined. In one case where it was formally examined (Atmanspacher & Roemer, 2012), the quantum probability model was less complex than a traditional probability model.…”

mentioning

confidence: 99%

Bayesian model comparison favors quantum over standard decision theory account of dynamic inconsistency.

Busemeyer¹,

Wang²,

Shiffrin³

2015

Decision

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Many paradoxical findings in decision-making that have resisted explanations by standard decision theories have accumulated over the past 50 years. Recent advances based on quantum probability theory have successfully accounted for many of these puzzling findings. Critics, however, claim that quantum probability theory is less constrained than standard probability theory, and hence quantum models only fit better because they are more complex than standard decision models. In this article, for the first time, a Bayesian method was used to quantitatively compare the 2 types of decision models, which is a method that evaluates models with respect to accuracy, parsimony, and robustness. A large experiment was used to compare the best-known models of each type, matching in their numbers of parameters, but possibly differing in the complexity of their functional forms. Surprisingly, the Bayesian model comparison overwhelmingly favored the quantum model, indicating that its success is due to its robust ability to make accurate predictions rather than accidental fits afforded by increased complexity.

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Uncertainty about the value of quantum probability for cognitive modeling

Cited by 3 publications

References 5 publications

The Quantum Mind: Alternative Ways of Reasoning with Uncertainty

The Quantum Mind: Alternative Ways of Reasoning with Uncertainty

Approaching Bounded Rationality: From Quantum Probability to Criticality

Bayesian model comparison favors quantum over standard decision theory account of dynamic inconsistency.

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