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笛卡儿有一解决问题的总的策略:1、一切问题都可化归为数学问题;2、数学问题都可转化代数问题;3、代数问题又可转化为方程问题.因而有完整的方程理论与解方程的方法,一切问题都不雅解决.诚然,笛卡儿未能完全实现这一理想,但他应用这一思想发明了解析几何,因而说明解析几何是方法论的产物是正确的.这一思想的实质是“在建立坐标系的条件下,将点转化为它的坐标,将几何对象坐标化(或
Descartes has a general strategy for solving problems: 1. All problems can be classified as mathematical problems; 2. Mathematical problems can transform algebraic problems; 3. Algebraic problems can be transformed into equation problems. Thus there is a complete equation theory. With the method of solving the equation, all the problems are not solved. It is true that Descartes failed to fully realize this ideal, but he applied this idea to invent analytical geometry, and thus explained that analytic geometry is the product of methodology. It is correct. The essence of a thought is ”in the establishment of the coordinate system, the point is converted into its coordinates, the geometric object coordinates (or