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“分与合”的思想方法是辩证思维方法之一,由于矛盾存在于一切事物之中,“分与合”这对矛盾在数学中也是无时不有无处不有的矛盾现象。就以最简单的四则运算而言,“加法”就是“合”,“减法”就是“分”,加,减就是矛盾。双方是对立统一的,且双方又在一定条件下相互转化,如a+b=a-(-b),a-6=a+(-b),这个转化条件就是将加数或减数变为它的相反数-b,因此减法可以统一在加法中。仅就“加法”
The thought method of “distribution and cooperation” is one of the methods of dialectical thinking. Because contradictions exist in all things, the contradiction of “distribution and cooperation” is also an all-embracing paradoxical phenomenon in mathematics. As far as the simplest four operations are concerned, “addition” is “combination”, “subtraction” is “partition,” and addition and subtraction are contradictions. The two sides are unity of opposites, and the two sides transform each other under certain conditions, such as a+b=a-(-b), a-6=a+(-b), and this conversion condition is to change the addition or subtraction into Its opposite number -b, so subtraction can be unified in addition. Only on the “addition”