Loss of mathematical certainty

Author: M., Li Hongkui
Translator:
Publisher:
Publish Date: 2004-02-01
Features: Science, especially natural science, one of the most important goals is to pursue the original driving force of science, or to pursue its impetus. At the same time, this spirit of pursuing science itself has become a basic impetus for social development and human progress. Science always seeks to discover and understand new phenomena of the objective world, study and master new laws, and is always relentlessly pursuing truth. Science is serious, rigorous, and realistic, while at the same time, it is creative. One of the basic attitudes of science is doubt, and one of the basic spirits of science is criticism. Indeed, science is active, especially the activity of natural science, and compared to other human activities, its basic characteristic is continuous progress. Even when retreating in other aspects, science always progresses, even if it is slow and difficult. This shows that the activity of natural science contains the element of human progress. Most educated people today still believe that mathematics is an unshakable knowledge system about the material world, and mathematical reasoning is infallible. This book refutes this myth. M. points out that today, the universally accepted mathematical concepts no longer exist, in fact, there are many mutually contradictory mathematical concepts. However, the effectiveness of mathematics in describing and studying natural and social phenomena continues to expand. Why? "Great readability outstanding personal achievement he must tell exciting stories, and he tells them very well." The entire book explores the rise and fall of the dignity of mathematics at a non-professional level, detailing the origin of mathematical truth, the prosperity of mathematical truth, the mathematicalization of science, and where mathematics is headed.