Description:
The core of Galileo's scientific methodology is mathematical method. He thinks that the mathematical structure of the world is the metaphysical basis of his work, and then describes scientific phenomena quantitatively by mathematical methods. Through the idealized mathematical model, scientific theory is deductively established on the basis of established basic physical principles. Finally, Galileo attributed his scientific method to God's mathematical creation, thus finding a solid religious foundation for his methodology.
In addition, Galileo, as one of the founders of modern physics, attached great importance to the role of mathematics in exploring the mysteries of nature all his life. He properly combined the mathematical method with the experimental method in science. On the one hand, we must admit that it is feeling that provides us with a world to explain. On the other hand, we are equally convinced that feelings do not reveal the rationality and order of nature to us. This rational order is always mathematical and can only be obtained by recognized mathematical proof methods. Galileo's pioneering work has far-reaching significance!