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首页> 外文期刊>Frontiers in Psychology >Systematicity and a Categorical Theory of Cognitive Architecture: Universal Construction in Context
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Systematicity and a Categorical Theory of Cognitive Architecture: Universal Construction in Context

机译：系统性与认知建筑学分类理论：语境中的普遍建构

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Why does the capacity to think certain thoughts imply the capacity to think certain other, structurally related, thoughts? Despite decades of intensive debate, cognitive scientists have yet to reach a consensus on an explanation for this property of cognitive architecture—the basic processes and modes of composition that together afford cognitive capacity—called systematicity. Systematicity is generally considered to involve a capacity to represent/process common structural relations among the equivalently cognizable entities. However, the predominant theoretical approaches to the systematicity problem, i.e., classical (symbolic) and connectionist (subsymbolic), require arbitrary (ad hoc) assumptions to derive systematicity. That is, their core principles and assumptions do not provide the necessary and sufficient conditions from which systematicity follows, as required of a causal theory. Hence, these approaches fail to fully explain why systematicity is a (near) universal property of human cognition, albeit in restricted contexts. We review an alternative, category theory approach to the systematicity problem. As a mathematical theory of structure, category theory provides necessary and sufficient conditions for systematicity in the form of universal construction: each systematically related cognitive capacity is composed of a common component and a unique component. Moreover, every universal construction can be viewed as the optimal construction in the given context (category). From this view, universal constructions are derived from learning, as an optimization. The ultimate challenge, then, is to explain the determination of context. If context is a category, then a natural extension toward addressing this question is higher-order category theory, where categories themselves are the objects of construction.
机译：为什么思考某些思想的能力暗示了思考某些在结构上相关的思想的能力？尽管经过数十年的激烈辩论，认知科学家仍未就认知体系结构的这种特性达成共识，即共同提供认知能力的基本过程和构成模式，即系统性。通常认为系统性涉及表示/处理等效可识别实体之间的通用结构关系的能力。但是，解决系统性问题的主要理论方法，即经典（符号）和连接主义（子符号），需要任意（临时）假设才能得出系统性。也就是说，它们的核心原理和假设没有提供因果理论所要求的系统性所依据的必要和充分条件。因此，这些方法无法完全解释为什么系统性是人类认知的（近）普遍属性，尽管在受限的情况下也是如此。我们回顾了系统性问题的另一种类别理论方法。作为结构的数学理论，范畴论以普遍建构的形式为系统性提供了必要和充分的条件：每个系统相关的认知能力都由一个共同的成分和一个独特的成分组成。此外，在给定的上下文（类别）下，每个通用构造都可以视为最佳构造。从这种观点来看，作为一种优化，通用结构是从学习中得出的。因此，最终的挑战是解释上下文的确定。如果上下文是一个类别，那么解决这个问题的自然扩展就是高阶类别理论，其中类别本身就是构造的对象。

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