Unity of Knowledge and Action × Turing's Ordinal Logic: Structural Mapping of Human Intelligence and Mechanical Intelligence 1、 Overview of Structure Comparison: Wang Yangming's integration of knowledge and action, Turing's ordinal logic, three elements, corresponding abilities, and their meanings are explained. Intuitive perception refers to the ability to perceive problems that cannot be judged by the Oracle Machine. In the face of incalculable things, intuition determines their truth, falsehood, or value. The "execution" of computable problems in Turing Machine can be rationally advanced within rules, and each step can be formally expressed and operated upon. Integration (reflective unity) and Superfine Iteration: A complete and consistent self correction of the coordinated iteration of "knowledge" and "action", reflecting forward and tending towards consistency. 2、 Detailed analysis: 1. Knowledge=Oracle Turing Machine (intuition, judgment, fuzzy understanding) The oracle Turing machine can handle problems that cannot be reduced to finite steps computable, such as the double spending problem (in Bitcoin) or value judgment (in humans). It is an 'informal' discriminator, just like human 'knowledge' - non deductive insights, perceptions, and value judgments. Corresponding to Yangming's idea of "cultivating conscience": Knowledge is not external, but an inner realization, which belongs to subjective judgment. 2. Action=Turing machine (rationality, form, execution) Turing machines symbolize computable systems of rationalism: as long as there are inputs and rules, deterministic outputs can be obtained through calculations. Corresponding person's "behavior": programmable, executable, and rule-based behavior. As Yangming said, 'To know but not to do is to not know.'. The computable 'knowledge' must be transformed into actual 'execution'. 3. Unity=Ultra poor Iteration (Reflective Unity, Recursive Enhancement) Ultra poor iteration is used to deal with unified problems that cannot be solved in one go by formal systems, such as the recursive extrapolation of truth caused by G ö del incompleteness. It simulates a process of "reflection improvement unity", corresponding to the continuous verification and updating of knowledge and action in Yangming's "unity of knowledge and action". Unity is not just a simple summation of knowledge and action, but a dynamic and consistent recursive process that constantly approaches the unfolding of "ultimate wisdom" or "conscience". 3、 Structural equivalence formula Starting from the triple structure of intelligence, the following equivalence relationship can be constructed: Human intelligence structure Intuition (knowledge)+rationality (action)+recursive unity (unity) =The personality wisdom of integrating knowledge and action Turing logical structure Oracle+Turing Machine+Transfinite Iteration =Mechanical intelligence with intuitive judgment, rational execution, and reflective upgrading abilities 4、 Ultimate Insight: Unified Perspective ✅ Yangming's "unity of knowledge and action" emphasizes: Knowledge "is conscience, not cognitive accumulation, but innate intuitive judgment ability. 'Action' is a natural implementation, known and necessary, inseparable. 'Integration' is the dynamic unity of knowledge and action that is verified, corrected, and elevated in specific life scenarios. ✅ Turing's ordinal logic metaphor: Turing machines can only act and cannot determine authenticity (act without knowing). The oracle can only make judgments and cannot operate (knowing but not being able to). Only through super poor iteration can we logically simulate the loop of 'know and do'. Therefore: Integration of knowledge and action=oracle machine+Turing machine+super poor iteration Wisdom=Perception+Execution+Reflection Unity=Non formal+Formal+Superform 5、 Conclusion: From Wang Yangming to Turing, from the Heart of a Sage to Mechanical Intelligence Wang Yangming's "unity of knowledge and action" comes from his understanding of the holistic nature of life and practical wisdom; Turing's ordinal logic comes from his attempts to imitate the limitations of formal systems and human intelligence mechanisms. The two paths lead to the same destination: They all attempt to break through the disconnect between formal logic and intuitive judgment; Emphasis is placed on unified, iterative, and evolving intelligent systems; One starts from philosophy, the other starts from mathematics, but overlaps in the ontological structure of intelligence.