永无止境的递归

Q1 Mathematics Journal of Applied Logic Pub Date : 2017-12-01 DOI:10.1016/j.jal.2017.03.003
Sergio Mota
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引用次数: 0

摘要

本文致力于三个主要目的:(I)一方面提出递归与归纳定义和数学归纳法之间的概念关系;还有递归和自我投入。为了接受递归在认知科学中的原始和主要用途,记住它们之间的概念关系和区别是很重要的。(二)从两种不同的方法分析递归的解释。第一种学派主要以乔姆斯基为代表,强调递归在形式科学中的起源,并将其应用于表征构成语言能力的机械过程。根据这种观点,递归是思维/大脑的一种属性。第二种方法忽略了递归的概念,并根据自嵌入结构的处理(例如[20])或使用相同规则表示多个层次的能力(例如[45])对其进行了重新定义;或者如下:递归是指在同类结构中嵌入结构的能力(例如[48])。(三)讨论这种递归意义的变化是否比原来的递归意义更适合于实证研究。
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The never-ending recursion

This paper is devoted to three main aims: (I) to present the conceptual relations between recursion, on the one hand, and inductive definitions and mathematical induction, on the other; as well as among recursion and self-involvement. In order to receive the original and primary use of recursion in cognitive science, it is important to bear in mind the conceptual relations and distinctions between them. (II) To analyze the interpretation of recursion from two different approaches. The first one, mainly represented by Chomsky, emphasizes the origin of recursion in the formal sciences, and applies it to characterize the mechanical procedure which underlies the language faculty. On this view, recursion is a property of the mind/brain. The second one disregards this conception of recursion and redefines it in terms of either the processing of self-embedded structures (e.g. [20]) or the ability to represent multiple hierarchical levels using the same rule (e.g. [45]); or as follows: recursion refers to the ability to embed structures within structures of the same kind (e.g. [48]). (III) To discuss whether or not this change in the meaning of recursion is more suitable than the original one for empirical research.

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来源期刊
Journal of Applied Logic
Journal of Applied Logic COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE-COMPUTER SCIENCE, THEORY & METHODS
CiteScore
1.13
自引率
0.00%
发文量
0
审稿时长
>12 weeks
期刊介绍: Cessation.
期刊最新文献
Editorial Board Editorial Board Formal analysis of SEU mitigation for early dependability and performability analysis of FPGA-based space applications Logical Investigations on Assertion and Denial Natural deduction for bi-intuitionistic logic
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