认知中的量子结构:概念为何纠缠以及如何纠缠
Quantum Structure in Cognition: Why and How Concepts are Entangled
摘要:
我们中的一个人最近详细阐述了一个理论,用于使用状态上下文属性(SCoP)形式主义来建模概念,即量子形式主义的推广。这种形式主义将上下文纳入用于表示概念的数学结构中,从而模拟上下文如何影响单个范例的典型性和概念的单个属性的适用性,这为“Pet-Fish问题”和概念理论中发生的其他困难提供了解决方案。然后,一个量子模型已经制定出再现的隶属权重的几个范例的概念和它们的组合。在本文中,我们表明,进一步的相关效果出现在一个自然的方式,每当两个或两个以上的概念相结合,即“纠缠”。纠缠的存在是明确揭示考虑一个具体的例子与两个概念,构造一些贝尔的不等式,这个例子,测试他们在一个真正的实验测试科目,并最终证明,贝尔的不等式是违反在这种情况下。我们表明,纠缠的内在和不可避免的字符可以解释的组合概念的样本的权重相对于组件概念的样本的权重。
英文摘要:
One of us has recently elaborated a theory for modelling concepts that uses the state context property (SCoP) formalism, i.e. a generalization of the quantum formalism. This formalism incorporates context into the mathematical structure used to represent a concept, and thereby models how context influences the typicality of a single exemplar and the applicability of a single property of a concept, which provides a solution of the 'Pet-Fish problem' and other difficulties occurring in concept theory. Then, a quantum model has been worked out which reproduces the membership weights of several exemplars of concepts and their combinations. We show in this paper that a further relevant effect appears in a natural way whenever two or more concepts combine, namely, 'entanglement'. The presence of entanglement is explicitly revealed by considering a specific example with two concepts, constructing some Bell's inequalities for this example, testing them in a real experiment with test subjects, and finally proving that Bell's inequalities are violated in this case. We show that the intrinsic and unavoidable character of entanglement can be explained in terms of the weights of the exemplars of the combined concept with respect to the weights of the exemplars of the component concepts.
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。