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Briefly describe the characteristics of ancient Greek mathematics.
The characteristics of ancient Greek mathematics are as follows:

1. The Greeks abstracted mathematics and made it a science, which has immeasurable significance and value. The Greeks insisted on using deductive proof and realized that truth can only be obtained through deductive reasoning. To get the truth, we must proceed from the truth, and we can't regard unreliable facts as known. Starting from the axiom 10 in the Elements of Geometry, we can get quite a few theorems and propositions.

2. The contribution of the Greeks to mathematics content is mainly to create plane geometry, solid geometry, triangle between plane and sphere, number theory, and popularize arithmetic and algebra, but it is only preliminary, with shortcomings and even mistakes;

3. The Greeks attach importance to the aesthetic significance of mathematics, and think that mathematics is a kind of beauty and a harmonious, simple, clear and orderly art;

The Greeks believe that the ultimate truth about the structure and design of the universe can be seen in mathematics, which makes mathematics closely linked with nature, and that the universe is designed according to the laws of mathematics and can be recognized by people.

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