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Why did ancient China lag behind the West in mathematics?
1. China's ancient mathematics is often empirical, that is to say, it is a law based on long-term repeated practice, a law summed up from practice, just an induction, but it lacks strict proof. This is closely related to China's ancient philosophy and China's way of thinking. It doesn't attach importance to logical reasoning like western philosophy.

2. Lack of systematicness. Very decentralized, not a system. Take China's most famous ancient mathematical work "Nine Chapters Arithmetic" as an example, it only explains interesting phenomena and results one by one. It is divided into chapters according to practicality (that is, agricultural production), but it is not a mathematical system.