1. Introduction

Explored the history and importance of universal quantification in formal semantics, analyzed the differences between universal quantifiers in English and Chinese, especially the multifunctionality of "du" in Chinese. The article proposes the goal of constructing a unified semantic model for the quantification of English and Chinese full names, in order to explain the commonalities and individualities of the two languages in the structure of full name quantification.

2. Review of Research on Quantification of Full Names in English and Chinese

This paper reviews the research on formal semantics of full name quantification in English and Chinese, analyzes the research trends from 2000 to 2023 through keyword retrieval, and points out the high-frequency keywords shared in English Chinese databases. The article focuses on the quantitative three part structure model of English full name quantification, including quantification operators, restricted parts, and core domains, as well as how to obtain full semantic interpretation through quantifiers. At the same time, the Chinese full name quantification interpretation model was explored, especially the analysis of "du" as the full name quantification operator, as well as the application and existing problems of the quantified three part structure in Chinese. In addition, it also involves the handling of internal differences in the quantification of the full name, such as differences in the interpretation of collectivity, strict allocation, and broad allocation, as well as the exhaustion and exclusivity issues of the "du" sentence.

3. Definition and Cause Analysis of Quantification of Full Names in English and Chinese

This chapter delves into the definition and causal analysis of the quantification of full names in English and Chinese. Firstly, the non exceptionality of universal quantification propositions was clarified, and examples from English and Chinese languages were used to demonstrate how universal quantifiers such as "all" and "every" in English and "every" and "all" in Chinese are associated with each individual in the domain of discourse. At the same time, it is pointed out that universal quantifiers may be influenced by structural or pragmatic factors, leading to incomplete interpretation. For example, using words such as except/put to exclude specific individuals to ensure the truth value of the universal quantification proposition. In addition, the use of "du" in Chinese was analyzed, and its scope of action may vary with the magnitude of noun phrases in the sentence, which differs from the English word "all" in modifying singular nouns.

4. Construction of a fully quantified structural semantic model

Based on the comparative analysis of the structure of full name quantification in English and Chinese, the shortcomings of existing full name quantification models are proposed, and a new semantic model is attempted to accurately describe the commonalities and individualities of full name quantification in English and Chinese. The preliminary construction of the model considers the reinforcement usage beyond quantitative qualifiers, pointing out the interaction between individual quantification and event quantification in the quantification of English and Chinese full names. By evaluating the domains of event variables and individual variables, the model can explain the similarities and differences in the quantification of English and Chinese full names. In English, the full name quantification structure includes finite word quantification and floating quantification, while in Chinese, the full name quantification structure usually requires adverbs such as "du" to achieve full interpretation. The model also analyzed the reinforcement usage of universal quantifiers, pointing out that reinforcement words do not affect the truth condition of sentences, but rather achieve the function of reinforcing tone by limiting event variables or quantifying phrases. Finally, the model can reasonably predict the internal differences of the universal quantifier structure, such as all and each being strong collective and strict distributive interpretations of universal quantifiers, while every is a broad distributive interpretation of universal quantifiers.

5. Conclusion

We have redefined the criteria for determining the quantification of the full name, clarified the definition of the quantification of the full name in English and Chinese, and pointed out the differences in usage between Chinese adverbs of the "du" category and English quantifiers of the full name. Through comparative analysis, a new semantic model for full name quantification structure was constructed, which considers event correlation and explains the similarities and differences in English and Chinese full name quantification through domain evaluation. The model also provides a reasonable explanation for the plurality of generalized quantifiers, expands the depth and breadth of research on universal quantification, and highlights its typological significance.