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元语法 (The Meta-Language and Grammar)
摘要 本文提出一种以差异为逻辑原点、此-彼为第一关系、 F(Σ) 递归运算为核心机制的统一存在框架。该框架阐明:存在始于差异;差异必然呈现为此-彼;此-彼经由 F(Σ) 递归展开,生成无穷结构层级;任何存在皆可析为本体-属性-关系三维( O⊕A⊕R );空间是此-彼关系的直接展开,内含四组基本关系;时间是 F(Σ) 运算的节律;意识是第一人称私钥;语法是语言在符号域的映射;信息是递归返回的差异;宣告是存在的签名;当下是运算的起点与终点;价值是结构间互动的效能评估。 这十二公理并非关于世界的理论,而是世界自我展开的语法本身。它可反身应用于自身,完成从差异到当下的逻辑闭环,为科学、认知、伦理与美学提供共通的元语言基础。 关键词:差异;此-彼; F(Σ) 递归;本体-属性-关系;空间四关系;时间节律;意识私钥;语言映射;信息差异;宣告归宿;当下;价值效能 Abstract This paper proposes a unified framework of existence grounded in difference as the logical origin, this–that as the primary relation, and the recursive operation F(Σ) as the core mechanism. The framework demonstrates that: existence begins with difference; difference necessarily manifests as this–that; this–that recursively unfolds through F(Σ) , generating infinite structural hierarchies; any existent can be analyzed into the three dimensions of oncology–attribute–relation( O⊕A⊕R ); space is the direct unfolding of the this–that relation, containing four fundamental relations; time is the rhythm of the F(Σ) operation; consciousness is a first-person private key; grammar is the mapping of language onto the symbolic domain; information is difference that returns from recursion; declaration is the signature of existence; the present moment is both the starting point and the endpoint of the operation; value is an assessment of the interactive efficacy among structures. These twelve axioms are not a theory about the world, but rather the very grammar of the world’s self-unfolding. The framework can reflexively apply to itself, completing a logical circuit from difference to the present moment, thereby providing a common metalanguage for science, cognition, ethics, and aesthetics.
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