机械化数学思想方法是中国传统数学研究的根本方法

分析了古代数学形式和思想方法与现代数学学科的区别、联系,进而论述中国古代传统数学机械化特色、领先成就,以及中外学者评价的正确与失真,说明具有正确观点的重要性.特别论述了中国古代传统数学的机械化思想方法与西方的公理化思想方法在整个世界数学发展的不同阶段中交替起着主导作用,不可偏废.说明必须全面运用两种思想方法,才能得出正确的结论.

Mechanizational Maths Thought: A Basic Approach-in Theoretical Mathematical Research

This article analyzes the differential and relation between ancient math form and thought method and modem mathematical subject, discusses the machanizational feature and leading achievements in the ancient traditional math of China, correct and untrue evaluation by scholars at home and abroad, stating the importance of correct reviews. The author stresses the two thought approaches between ancient math mechanization and western axiomatization, and their leading and alternative role in the stages of math development in the world. At last, these two thought approaches must be applied comprehensively so as to find correct solutions.