In history, he first integrated mathematics, physics and astronomy on the basis of scientific experiments, expanding, deepening and changing human understanding of material movement and the universe. Galileo summed up the law of free fall, the law of inertia and Galileo's theory of relativity from experiments. Thus overthrew many hypotheses of Aristotle's physics, laid the foundation of classical mechanics, refuted Ptolemy's geocentric theory, and strongly supported Copernicus' Heliocentrism.
He overthrew the purely speculative traditional view of nature with systematic experiments and observations, and created a modern science with a strict logical system based on experimental facts. Therefore, it is known as "the father of modern mechanics" and "the father of modern science". His work laid the foundation for the establishment of Newton's theoretical system.
Galileo advocated the research method of combining mathematics with experiment, which is the source of his great achievements in science and his most important contribution to modern science.
German philosopher and mathematician Gottfried Wilhelm Leibniz (1646 July1-1716 June1December14) is a rare all-rounder in history, and he was called in the17th century. He is a lawyer himself and often travels to and from big cities. Many of his formulas were completed in a bumpy carriage, and he called himself a baron.
Leibniz occupies an important position in the history of mathematics and philosophy. Mathematically, both he and Newton invented calculus independently, and the mathematical symbols of calculus he used were more extensive. The symbols invented by Leibniz are generally considered to be more comprehensive and have a wider scope of application. Leibniz also contributed to the development of binary system.
The symbols used in the field of calculus today are still put forward by Leibniz. In the field of advanced mathematics and mathematical analysis, Leibniz discriminant method is used to judge the convergence of staggered series. The argument between Leibniz and Newton who invented calculus first is the biggest case in mathematics. Leibniz published the first differential paper in 1684, defined the concept of differential, and adopted the differential symbols dx, dy. 1686 published an integral paper, discussed differential and integral, and used the integral symbol ∫. According to Leibniz's notebook, he has completed a complete set of differential calculus in 1675 1 1.
But in 1695, British scholars claimed that the invention of calculus belonged to Newton; 1699 said that Newton was the "first inventor" of calculus. 17 12, the royal society set up a committee to investigate the case, and announced in early 17 13: "Newton was confirmed as the first inventor of calculus." Leibniz received a cold shoulder until a few years after his death. Because of the blind worship of Newton, British scholars have long adhered to Newton's flow number technique, only using Newton's flow number symbols, but dismissing Leibniz's superior symbols, which made British mathematics out of the trend of mathematical development.