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Discuss how mathematics becomes the locomotive of scientific development and social progress.
First, the two characteristics of mathematics are precision and abstraction. Accuracy is manifested in the accuracy of mathematical concepts, the rigor of reasoning logic, and the certainty and irrefutability of mathematical conclusions. Abstraction refers to the relationship between reserve, spatial form and everything else. This objectivity of mathematics has a great influence on personal development.

2. From Pythagoras to Galileo, Descartes and Kepler in modern times, it has always been believed that the world is the embodiment of numbers and the world is based on mathematics.

The formula runs, and the book of the universe is written according to mathematics. Numbers are inseparable from the world. Many mathematicians are philosophers.

Poincare, a mathematician and philosopher in the 20th century, said: "Without the language of mathematics, the closest similarity between things would never be discovered by us. We can't find harmony in the world, and this harmony is the only real objective reality-the only truth we can achieve. " In fact, the problem is the harmonious relationship between mathematics and the world. If mathematics discovers the harmony of the world, it takes precedence over the world view; If mathematics discovers the harmony of the world, the world outlook takes precedence over mathematics. Mathematics has played a role in the world outlook.