摘要
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.
作者
马晓苗
MA Xiao-miao(School of Business Administration,Xinjiang University of Finance&Economics,Urumqi 830012,China)
出处
《系统科学学报》
CSSCI
北大核心
2020年第1期29-34,共6页
Chinese Journal of Systems Science
基金
国家自然科学基金项目(71562032)
国家社会科学基金项目(16BGL077)
新疆自治区教育厅人文社科学重点研究基地项目(XJEDU050216C01).
关键词
哥德尔定理
自指
悖论
自组织
涌现
Godel’stheorem
self-reference
paradox
self-organization
emergence