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Logic and Mathematics in the Global Sequencing and Positioning Wisdom System: A Closed-Loop Deductive System with the Single Set X as the Unified Generative Source

• September 2026

• DOI: 

• 10.13140/RG.2.2.11985.29281

• Xiaohui Zou

Abstract: This work presents a formal treatise on OP Logic and OP Mathematics in the Global Sequencing and Positioning Wisdom System. All discussions take the single set X =Xtext ∪Xmatter ∪Xmind,Xtext = {0,1},Xmatter = {on,off},Xmind = {excitation,inhibition} as the generative source. The three classes of ideal sets are the single set, the layered set Ln ={0,1}^n, and the classified set Sclass. The three classes of ideal mappings are the positioning map µ, the layer functor φ, and the cross-domain natural transformation η. The four basic laws are A1 order-position conservation, A2 synonymic juxtaposition, A3 consensual juxtaposition, and A4 fallibility. The Dao function Φ verifies alignment among the three domains, and Φ = 0 if and only if the three domains are aligned. References to historical scholars are consistently phrased as “what can be inferred from their position,” and no direct challenge by a deceased scholar to Rongzhixue is fabricated. Every concept, principle, method, and case is developed through positive argument, negative inference, and multi-perspective comparison, with a uniformly numbered bibliography at the end.

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