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arXiv quant-ph/0703222quant-ph
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量子力学、贝叶斯定理和合取谬误

Quantum mechanics, Bayes' theorem and the conjunction fallacy

R. Franco

摘要:

在这篇文章中,我们考虑的合取谬误,一个著名的认知启发式实验测试在认知科学,这发生在有限理性的情况下的直觉判断。我们表明,量子形式主义可以用来描述在一个非常简单的方式,这种谬论的干涉效应。我们的证据表明,量子形式主义很自然地导致违反贝叶斯规则时,考虑两个事件的结合概率。因此,我们认为,在认知科学中,量子力学的形式主义可以用来描述一个\textit{quantum regime},即有限理性的制度,在那里认知逻辑是有效的。

英文摘要:

In the present article we consider the conjunction fallacy, a well known cognitive heuristic experimentally tested in cognitive science, which occurs for intuitive judgments in situations of bounded rationality. We show that the quantum formalism can be used to describe in a very simple way this fallacy in terms of interference effect. We evidence that the quantum formalism leads quite naturally to violations of Bayes' rule when considering the probability of the conjunction of two events. Thus we suggest that in cognitive science the formalism of quantum mechanics can be used to describe a \textit{quantum regime}, the bounded-rationality regime, where the cognitive heuristics are valid.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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