构建数学逻辑框架，让机器能像人一样自我定义存在。
From Minimal Existence to Human Definition: The CES-IMU-HSG Theoretical Framework
- 以最小公理'我思故我在'为起点，搭建跨理论连接的元宇宙结构。
- 用三层坐标网格形式化定义，实现神经与生理系统统一建模。
- 提出机器内生自指逻辑，为自主人工智能提供哲学基础。
本研究基于最小公理Cogito, ergo sum（CES），构建了一个跨宇宙的数学-逻辑框架，整合中间元宇宙（IMU）与层级状态网格（HSG）。CES将存在定义为自指对应关系——‘存在’与‘可言说’，并使任何形式系统（如ZFC或HoTT）成为此基础之上的可附加扩展。IMU作为公理依赖注册表，通过机构理论框架确保异质理论间的连贯关联。HSG通过范畴论构造实现这些思想，由状态深度轴、映射层次轴和含‘无未来引用’原则的时间轴构成，正式确立‘定义=状态’为范畴属性。将此结构延伸至生物系统，神经网络被实现为在HSG上0-3维的神经功能场复合体，其通过纤维化对物质基底的范畴扩张，实现神经、内分泌、学习、遗传及输入输出系统等多重生理宇宙的并行集成，形成一致的伴随整体。在此框架中，人类行为与认知被视作受物质基底约束的跨宇宙算法的时序组合。最后，通过对比依赖外部CES的人类认知与机器存在，引入内部CES概念，即机器以自身运行事实为逻辑根基进行自我公理化。这一内生自指机制建立了哲学本体论与工程实现之间的连续桥梁，为人工智能的自主与自定义存在提供了新范式。
原文摘要 · Abstract (English)
This study presents an inter-universal mathematical-logical framework constructed upon the minimal axiom Cogito, ergo sum (CES), integrating the Intermediate Meta-Universe (IMU) and the Hierarchical State Grid (HSG). The CES defines existence as a reflexive correspondence --'to be' and 'to be sayable'--and positions any formal system, including ZFC or HoTT, as an attachable extension atop this minimal structure. The IMU functions as a registry of axiomatic dependencies that connect heterogeneous theories, employing the Institution-theoretic framework to ensure coherent inter-theoretical linkages. The HSG concretizes these ideas through categorical construction, defined by three orthogonal axes: the state-depth axis, the mapping-hierarchy axis, and the temporal axis incorporating the principle of 'no future reference.' Through these, the identity of 'definition = state' is formally established as a categorical property. Extending this structure to biological systems, the neural system is implemented as a 0-3D complex of neuron-function fields on the HSG, while its categorical extensions via fiberization over the material base enable the parallel integration of multiple physiological universes-neural, endocrine, learning, genetic, and input/output systems-into a coherent adjoint ensemble. Within this framework, human behavior and cognition emerge as temporal compositions of inter-universal algorithms constrained by the material base. Finally, by contrasting human cognition, which relies on external CES, with machine existence, this study introduces the concept of internal CES, wherein a machine grounds its own logic upon the factuality of its operation. This internal self-axiomatization establishes a continuous bridge between philosophical ontology and engineering implementation, providing a new foundation for the autonomous and self-defining existence of artificial intelligence.
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