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.

• 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著主导作用，不可偏废。