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The Dual Five-Level Genealogy of Semantic-Ambiguity双重形式化语义歧义

已有 135 次阅读 2026-9-15 00:30 |个人分类:双语信息处理|系统分类:论文交流

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The Dual Five-Level Genealogy of Semantic-Ambiguity and Understanding-Misunderstanding Based on Order-Position Logic and Dual Formalization

Within the unique reference frame of the Rongzhixue order-position field (which completely abandons the Cartesian and Hilbert space metaphors and their primordial ambiguities), and relying on the dual formalization method (mathematical logic + pure mathematical formal system + subject's choice/intention judgment), this paper establishes two strictly corresponding five-level hierarchical genealogies for the core cognitive phenomena of human language and human-machine interaction: the first is the Semantic-Ambiguity Five-Level Genealogy (from uniquely determined semantics to infinitely open ambiguity), and the second is the Understanding-Misunderstanding Five-Level Genealogy (from completely unique understanding to infinitely multiple misunderstanding). These two genealogies strictly map onto each other, one-to-one, and both take the number of order-position branches in the order-position field and the degree of subject order-position alignment as their sole criteria of judgment, thereby rendering semantic-cognitive phenomena quantifiable, formalizable, and automatically computable by AI, and providing a unified solution to the academic problem that traditional linguistics and formal semantics have long been unable to precisely grade ambiguity and misunderstanding. This paper further reveals that ambiguity is the static branch possibility of a symbol within the order-position field, whereas misunderstanding is the dynamic degree of matching misalignment of subjects within the order-position field; the two form a perfectly symmetrical evolutionary logic, ranging from unique, to slight, to finite, to complex, to infinite. This geneal-ogy establishes, for the new era of human-machine mutual assistance, the first cog-nitive grading standard that is mathematizable, formalizable, and engineering-ready for interpersonal and human-machine interactive, collaborative, mutual-assistance communication.

基于序位逻辑与双重形式化的语义-歧义、理解-误解双五级谱系

邹晓辉

ORCID: 0000-0002-5577-8245

融智学（Smart System Studies, SSS）创立者

结合 arXiv:2606.13690、arXiv:2602.06992、

Preprints 2026040110 及其参考文献的应用场景理解

2026 年 9 月 14 日

摘要

本文在融智学序位场域唯一参照系下（彻底摒弃笛卡尔、希尔伯特空间隐喻及其原生歧义）依托双重形式化方法（数理逻辑+纯数学形式体系+主体选择用意判定），为人类语言与人机交互的核心认知现象建立两套严格对应的五级层级谱系：第一套为语义-歧义五级谱系（从唯一确定语义到无穷开放歧义），第二套为理解-误解五级谱系（从完全唯一理解到无穷多元误解）。这两套谱系严格相互映射、一一对应，均以序位场域的序位分支数量与主体序位对齐程度为唯一判定标准，实现语义认知现象的可量化、可形式化、可 AI 自动演算，为传统语言学与形式语义学长期无法精准分级歧义与误解的学术难题提供统一解。本文进一步揭示：歧义是符号在序位场域内静态分支可能性，误解是主体在序位场域内的动态匹配错位度；二者从唯一、微量、有限、复杂到无穷，形成完美对称的演化逻辑。该谱系为人机互助新时代人际人机的交互协作互助沟通协同建立了第一套可数学化、可形式化、可工程落地的认知分级标准。