还元论——系统生成论之方法论

Analyzation of Reductionism:Methodology of System Generative Theory

随着系统科学的发展,其研究方法从基于微积分的定性分析走向全新的定量研究,其方法论则进一步从“整体论”走向“还元论”。“还元论”的哲学基础是生成论。“还元论”的要点是以“生成元”为逻辑起点,探索系统整体生成演化的普遍规律,方法论原则为整体性、时间性与信息性。以“还元论”重新审视自组织理论,系统进化的奥秘在于蕴涵进化信息的新的生成元诞生,并形成超循环生长。分形理论与混沌学为“还元论”奠定了重要的数学基础,奇怪吸引子是系统生成的几何学与代数学,形态学与动力学的统一,方程迭代与分形生长在相空间一一对应,揭示了信息与能量传送规律与系统形态生长规律的内在一致。

With the development of system science,the research method changes from qualitative analysis based on calculus towards fresh quantitative research,and its methodology further moves from holism to reductionism.The philosophical basis of reductionism is the theory of generation.Reductionism takes generator as the logical starting point,explores the universal law of the whole generation and evolution of the system.The principles of methodology are wholeness,temporality and information.Reconsidering the theory of self-organization with reductionism,the mystery of system evolution is that the birth of new generators contain evolutionary information and form hypercycle growth.Fractal theory and chaology lay an important mathematical foundation for reductionism.Odd attractors are systemically generated by geometry and algebra,and are the unity of morphology and dynamics.The correspondence between equation iteration and fractal growth in phase space Reveals the inherent consistency between the law of information and energy transmission and the law of system morphology growth.