数学对称思想方法新论

New Discussing on the Thinking Method of Mathematical Symmetry

对称是自然界和人类社会中普遍存在的形式之一,是其运动变化和发展的规律之一。站在对称思想的哲学高度来研究:具体事物的对称性如狭义的形(数)对称、抽象事物的对称性如广义的对等性对称和数学思想方法的对称性如反对等性对称,有利于认识、分析相关问题,达到遵循对称规律、简化问题、缩短解决问题的进程。

Symmetry is one of the universal existence forms in the nature and human society, is also one of its secular rules on its variation and development. This paper studies Symmetry theory from the aspect of philosophical, discussing the symmetry of the concrete object such as the narrow sense symmetry on shape（counts） ,the symmetry of the abstract object such as generalized symmetry,the symmetry on the mathematics thinking method such as dissymmetry and so on, which will helpful to understand analyze relevant issues, follow the symmetrical rule, simplify the question and shorten the progress to solve the problem.