人类语言中的数学、递归和共性
Mathematics, Recursion, and Universals in Human Languages
摘要：
存在于文献中的语言递归和人类递归处理的多种和相互冲突的替代定义产生了许多科学问题。本文的目的是向语言学界提供递归的标准数学定义，并应用它来讨论语言递归。作为一个副产品，我们获得了对人类语言的某些“软共性”的洞察力，这些共性与实现数学推理所必需的认知结构有关，即数学模型理论。
英文摘要：
There are many scientific problems generated by the multiple and conflicting alternative definitions of linguistic recursion and human recursive processing that exist in the literature. The purpose of this article is to make available to the linguistic community the standard mathematical definition of recursion and to apply it to discuss linguistic recursion. As a byproduct, we obtain an insight into certain "soft universals" of human languages, which are related to cognitive constructs necessary to implement mathematical reasoning, i.e. mathematical model theory.
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。
