论文部分内容阅读
作为数学思维特殊性的一种表现,本文首先引进了“悖向思维”的概念;然后,通过对悖向思维在数学中应用的具体分析,又提出了相应的方法论原则,这就是“悖向思维和谐性原则”. 1.悖向思维及其在数学中的应用在创造学与科学方法论的论著中,经常可以看到关于同向思维与逆向思维的讨论.这两种思维形式在数学中也有着广泛的应用;然而,作为数学思维特殊性的一种表现,在数学中又常常用到另一种更为特殊的思维形式,这就是所谓的“悖向思维”.
As a manifestation of the particularity of mathematical thinking, this article first introduced the concept of “thinking into thinking”; then, through the concrete analysis of the application of aspirational thinking in mathematics, it also proposed the corresponding methodological principle. This is The principle of thinking and harmony“. 1. Axiomatic thinking and its application in mathematics In the book of the theory of creation and science, we can often see the discussion of the same thinking and the reverse thinking. These two forms of thinking are in mathematics. It also has a wide range of applications; however, as a manifestation of the particularity of mathematical thinking, in mathematics, it is often used in another, more special form of thinking. This is the so-called ”thinking".