本文尝试从含义表达的层面出发，对语义及其相关的问题进行数学化的探讨。在对一些与语义中的含义相关的内容作一些简单梳理后，首先提出一个关于概念的数学模型假设，在此概念模型基础上提出一个拟全语义空间和语义预范畴的数学模型，以及语义对象在语义预范畴的表示，并对它的性质做一些初步的研究。在此语义模型的基础上讨论语义预范畴的形式化的方法工具，并用类似数学的局部化方法对语义的拟全/形式二重性进行讨论，初步探讨形式化语义预范畴的性质，拟全/形式语义子预范畴与表达之间的关系。然后给出这种二重性模型在语义处理，特别是自然语言处理和人工智能方面的可能应用，并给出两个简单的例子。最后给出一些基于本文语义结构模型假设的一些基本结论，以及结合数学、哲学、自然科学、社会科学和人文科学可能的学科综合研究方向和应用设想。
In this paper a mathematical way of explanation is explored for semantic problems. First a mathematical model for concept is proposed after a brief introduction of sematic meaning. Based on this a pro-complete semantic space is proposed and semantic “pre-category” model is discussed, and how the semantic object is presented in this pre-category, also some of its characteristics are discussed. Then a formalization method is set up for this sematic pre-category, and a localization strategy is discussed to address the semantic duality of pro-complete/formal, also the characteristics of formal semantic pre-category, the relation between pro-complete/formal semantic pre-category and expression. After that, some application using this duality model are discussed for semantic processing, especially Natural Language Processing (NLP) and Artificial Intelligence (AI). Two simple examples are discussed following that. In the end a summary of basic conclusions based on this semantic model is given and its prospect on cross study with mathematics, philosophy, nature science, social science and humanities is raised for future discussion.
惠新标陈志强叶楠周德雨
上海一知先网络信息技术有限公司上海一知先网络信息技术有限公司上海一知先网络信息技术有限公司上海一知先网络信息技术有限公司
哲学
语义空间;语义结构模型;拟全化;形式化;语义预范畴;可计算模型;拟无限
Semantic Space; Semantic Model; Pro-complete; Formal Method; Semantic Pre-category; Computational Model; Pro-infinite
惠新标,陈志强,叶楠,周德雨.一个语义的结构模型假设[EB/OL].(2023-04-18)[2024-05-16].https://coaa.istic.ac.cn/preprint/3600382.点此复制
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