Natura dei modelli mentali e implicazioni categoriali: un’introduzione

A. Binazzi
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Abstract

Mental models theory by Johnson-Laird is a theory of mind devoted to offer a uniform image of mental processes within the framework of classical cognitivism. Applied to the study of deductive competence, it has shown to have a particular predictive capability, thanks to the development of computer programs able to simulate actual performances of human beings in solving logical problems. The present paper aims at updating the debate on the nature of Johnson-Laird’s mental models by analysing their relation with mathematical notions relevant for logical enquiry. Links among algebraic properties of logical connectives, perception pat-terns and topology are examined. We will also explore some connections between group theory and graph theory with mental models and propose some implica-tions of Category Theory for potential applications to cognitive science and edu-cation.
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心理模型的性质及其分类含义:引言
Johnson-Laird的心理模型理论是一种致力于在经典认知主义框架内提供心理过程统一图像的心理理论。应用于演绎能力的研究,由于计算机程序的发展能够模拟人类在解决逻辑问题时的实际表现,它已经显示出一种特殊的预测能力。本文旨在通过分析约翰逊-莱尔德心理模型与逻辑探究相关的数学概念的关系,来更新关于心理模型本质的争论。逻辑连接词,感知模式和拓扑的代数性质之间的联系进行了检查。我们还将探讨群论和图论与心智模型之间的一些联系,并提出范畴论在认知科学和教育方面的潜在应用。
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