分形理论视野下的部分与整体研究

两千多年前，古希腊哲学家亚里士多德就提出“整体大于部分之和”的著名论断，现代的系统论、机体论、全息理论等各种学说从多个方面和角度进一步地推进了对“整体与部分”的研究。诞生于20世纪70年代的分形理论是现代研究复杂性的重要科学理论之一，沃尔夫奖的评语认为分形理论“改变了我们的世界观”，它对人们的自然观、方法论及思维方法等都产生了深刻的影响。主要探讨在分形理论视野下局部和整体的相互关系。

Research of Part and Whole in the View of Fractal

The topic of part and whole is an old philosophical proposition. In the last century, with the development of modern science and technology, more and more theories concerned on the same topic, such as the systematicism, the theory of organism, the theory of hologram. The fractal that originated in the seventies of the twentieth century and founded in the math and computer have changed our opinion about the world. In this. paper, the main point is about the correlation of part and whole in the view of fractal.