哥德尔定理证明对自指悖论的化解及其自组织涌现机理

Self-organization Emergence Mechanism of Godel’s Theorem Process

哥德尔定理证明的核心思路可以概括为以化解"说谎者悖论"中蕴含的"真假自指悖论"为目标,区分思维层次,发现新概念/逻辑(即"可证"概念)的创新过程,这一"利用悖论""消解悖论"的过程可以用思维的自组织涌现机理进行系统概括。在分析总结哥德尔定理证明过程对自指悖论化解机制的基础上,结合自组织分析框架,分别从系统自组织的形成条件、内部诱因、动力机制、涌现形成、演化机制5个方面分别对哥德尔定理证明的自组织涌现机理进行具体阐释。

With the aim of resolving the"true-false self-referential paradox"contained in the"liar paradox",the core idea of Godel’s theorem proof can be summarized as the creative process of differentiating thinking levels and discovering new concepts/logic(the concept of"provable"),and this process of using paradoxes and resolving paradoxes can be summarized by the self-organizing emergence mechanism of thinking.On the basis of analyzing and summarizing themechanism resolving the self-directed paradox of Godel’s theorem’s proof process,and combining with the framework of self-organizing analysis,self-organizing emergence mechanism of proof process of Godel’s theorem is explained in detail from the five aspects,that is forming conditions,internal incentives,dynamic mechanism,emergence formation and continuous evolution.