不同推理类型需要不同的表征结构,该研究提出四类核心要求。
The Reasoning Error About Reasoning: Why Different Types of Reasoning Require Different Representational Structures
- 提出四个表征系统结构属性:可操作性、一致性、结构保全性与组合性。
- 演绎推理需满足全部四属性,而归纳等推理仅需部分条件。
- 揭示了从概率表征跨越到严格逻辑推理的结构性障碍。
不同类型的推理对表征系统施加不同的结构要求,但心理学、人工智能和心灵哲学中尚无系统性论述。本文提出一个框架,识别出表征系统的四个结构属性:可操作性、一致性、结构保全性和组合性。这些属性被不同推理形式以不同程度所要求,包括归纳、类比、因果推断、演绎及形式逻辑。每种属性排除一类特定的推理错误。分析揭示了一个关键结构性边界:边界以下的推理可在关联性、概率性表征上运作,而边界以上的推理则必须完全满足全部四属性。单纯扩大统计学习规模无法跨越此边界,因为演绎推理所需的结构保障无法通过概率手段近似实现。人工智能评估、发展心理学与认知神经科学的证据在不同层面上支持该框架。由此导出三个可验证预测:渐进性退化、针对结构破坏的选择性脆弱性、以及不可约性。该框架是必要条件理论,不依赖具体表征格式,旨在重组既有争论而非终结之。
原文摘要 · Abstract (English)
Different types of reasoning impose different structural demands on representational systems, yet no systematic account of these demands exists across psychology, AI, and philosophy of mind. I propose a framework identifying four structural properties of representational systems: operability, consistency, structural preservation, and compositionality. These properties are demanded to different degrees by different forms of reasoning, from induction through analogy and causal inference to deduction and formal logic. Each property excludes a distinct class of reasoning failure. The analysis reveals a principal structural boundary: reasoning types below it can operate on associative, probabilistic representations, while those above it require all four properties to be fully satisfied. Scaling statistical learning without structural reorganization is insufficient to cross this boundary, because the structural guarantees required by deductive reasoning cannot be approximated through probabilistic means. Converging evidence from AI evaluation, developmental psychology, and cognitive neuroscience supports the framework at different levels of directness. Three testable predictions are derived, including compounding degradation, selective vulnerability to targeted structural disruption, and irreducibility under scaling. The framework is a necessary-condition account, agnostic about representational format, that aims to reorganize existing debates rather than close them.
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