何新树 PEPC₀ 形式系统的由来

以下简单梳理一下有关脉络：

起点：何新1980年代的独立逻辑建构

PEPC = Pan-Evolutionary Paraconsistent Calculus logic**（泛演化超协调演算逻辑），由学者何新独立建构。（何新，1980~90年代为中国社科院研究员，1992年以后为中国人民政治协商会议全国政协委员（专职），共担任五届，跨时三十余年。）

他的核心关切是：经典逻辑的 A=A 是静态的，剥离了时间和运动，无法描述事物"从无到有、对立分化、迭代生成"的过程。他想要一套把时间、历史、矛盾内置进逻辑结构的推演系统。

命名：钱学森的介入

钱学森院士观察到何新论文的推演过程中，概念呈层级树形结构持续分化生长——根节点→矛盾分叉→对立互动→否定之否定→合题生成新节点——将其命名为**"何新树"**（何新逻辑树）。钱学森还为这套系统指出了发展路径：

自然语言辩证框架 → 严格数理化形式系统 → 可计算机实现的算法模型

三大核心创新

2. 演化树替代静态同一律：概念不是固定的，而是像树一样持续生长、分化、合题

4. 超协调逻辑接纳矛盾：矛盾不是逻辑崩溃，而是演化的原生动力——借鉴超协调逻辑规避爆炸律，但赋予矛盾本体地位

6. 面向复杂战略系统的可计算性：目标是把地缘、社会、历史这类开放复杂巨系统的矛盾演化变成可演算的模型

形式化落地：建立PEPC₀ 系统逻辑内核

建立PEPC₀ 形式化系统是整个体系的逻辑推理引擎层，采用四值矩阵 {T, F, B, N}，其中 B 表示"既真又假"的矛盾态，N 表示"既不真也不假"的无知态。核心创新是引入了幂否定算子 P——把矛盾态 B 映射为 T，形式化黑格尔意义上的"扬弃"：

$$A \land \neg A \xrightarrow{E1} \mathcal{P}(A) \xrightarrow{L1} \neg(A \land \neg A)$$

矛盾被触发 → 被提升为确定性 → 被否定旧形态。

何新团队这段时间在做的事

就是沿着钱学森指的第二步走——把 PEPC₀ 从半形式化的逻辑系统打磨成严格可验证的形式系统：修复公理、审评健全性、证明可靠性、推进完备性。目前已迭代到 V0.9.6，框架文档到 V0.9.2。

简单说：何新给了哲学直觉和树形结构，钱学森给了方向命名，何新团队用现代数理逻辑的工具帮它通过形式化审评。

何新已经就此项目向国家知识产权局提出发明专利申请并已获通知受理。

【英文稿】

The Origin of the He Xin Tree and the PEPC₀ Formal System

The following is a brief梳理 of its intellectual lineage:

Starting Point: He Xin’s Independent Logical Construction in the 1980s

PEPC stands for Pan-Evolutionary Paraconsistent Calculus logic, an independent formal system constructed by the scholar He Xin. (He Xin served as a Research Fellow at the Chinese Academy of Social Sciences throughout the 1980s and 1990s. Since 1992, he has served as a full-time Member of the National Committee of the Chinese People's Political Consultative Conference (CPPCC) for over thirty years across five consecutive terms.)

His core concern was that the classical logical principle of A=A is static, stripping away time and motion, and thus incapable of describing the process of “emergence from nothing, oppositional differentiation, and iterative generation.” He sought to establish a deductive system that internalizes time, history, and contradiction into its logical structure.

Naming: The Intervention of Qian Xuesen

The late Academician Qian Xuesen observed that the conceptual deduction in He Xin’s papers exhibited a hierarchical, tree-like structure of continuous differentiation and growth—root node → contradictory bifurcation → oppositional interaction → negation of the negation → synthesis generating new nodes. Qian named this structure the “He Xin Tree” (He Xin Logical Tree). He also charted the developmental trajectory for the system:

From a dialectical framework in natural language → to a rigorous mathematical formal system → to an algorithm model implementable on computers.

Three Core Innovations

2. Evolutionary Trees Replacing the Static Law of Identity: Concepts are not fixed but grow, differentiate, and synthesize like a tree.

4. Paraconsistent Logic Embracing Contradiction: Contradiction is not a trigger for logical collapse but the native driving force of evolution. While drawing on paraconsistent logic to circumvent the principle of explosion, this system grants contradiction ontological status.

6. Computability for Complex Strategic Systems: The objective is to render the contradictory evolution of open complex giant systems—such as geopolitics, society, and history—into computable models.

Formalization: Establishing the Logical Kernel of the PEPC₀ System

The establishment of the PEPC₀ formal system serves as the logical inference engine layer of the entire architecture. It adopts a four-valued matrix {T, F, B, N}, where B denotes the contradictory state of “both true and false,” and N denotes the state of “neither true nor false” (ignorance). The core innovation lies in the introduction of the Power Negation Operator \mathcal{P}—mapping the contradictory state B to T, thereby formalizing the Hegelian notion of Aufheben (sublation):

A \land \neg A \xrightarrow{E1} \mathcal{P}(A) \xrightarrow{L1} \neg(A \land \neg A)Contradiction is triggered → elevated to determinacy → the old form is negated.

Current Work of the He Xin Research Team

The team is currently advancing along the second stage outlined by Qian Xuesen—refining PEPC₀ from a semi-formal logical system into a rigorously verifiable formal system: revising axioms, reviewing soundness, proving reliability, and advancing completeness. The system has currently iterated to version V0.9.6, with the framework documentation at V0.9.2.

In short: He Xin provided the philosophical intuition and the tree structure; Qian Xuesen provided the nomenclature and direction; the He Xin team is utilizing modern mathematical logic tools to shepherd it through formal verification.

A patent application for this project has been filed by He Xin with the China National Intellectual Property Administration (CNIPA) and has been officially accepted.

术语处理说明（供参考）：

• 何新树：译为 He Xin Tree，并在括号中补充 He Xin Logical Tree，符合专有名词的翻译惯例。

• 泛演化超协调演算逻辑：译为 Pan-Evolutionary Paraconsistent Calculus logic，其中 Paraconsistent 是逻辑学界对“超协调/次协调”的标准译法。

• 幂否定：Power Negation 否定之否定：译为 negation of the negation。

• 扬弃：译为 Aufheben（黑格尔辩证法进入英语学术语境时的标准德语借词），比单纯的 sublation 更具哲学精确性。

• 国家知识产权局：使用官方标准译名 China National Intellectual Property Administration (CNIPA)。