3、掌握数学思想，就是掌握数学的精髓。

To master mathematical thought is to master the essence of mathematics.

4、大自然是用数学语言写成的书。

Nature is a book written in mathematical language.

5、新的数学方法和概念，常常比解决数学问题本身更重要。

New mathematical methods and concepts are often more important than solving mathematical problems themselves.

6、数学是研究现实生活中数量关系和空间形式的数学。

Mathematics is the study of quantitative relations and spatial forms in real life.

7、数学是各式各样的证明技巧。

Mathematics is a variety of proof techniques.

8、数学是打开科学大门的钥匙。

Mathematics is the key to science.

9、发现每一个新的群体在形式上都是数学的，因为我们不可能有其他的指导。

Find that every new group is mathematically formal, because we can't have other guidance.

10、如果别人思考数学的真理像我一样深入持久，他也会找到我的发现。

If other people think about the truth of mathematics as deeply and persistently as I do, he will find my discovery.

11、数学家本质上是个着迷者，不迷就没有数学。

Mathematicians are intrinsically fascinated, and there is no mathematics without fascination.

12、数学是科学的女王，而数论是数学的女王。

Mathematics is the queen of science, and number theory is the queen of mathematics.

13、在数学中最令我欣喜的，是那些能够被证明的东西。

What delights me most in mathematics is what can be proved.

14、假如别人和一样深刻和持续地思考数学真理，他们会作出同样的发现的。

If other people think about mathematical truth as deeply and continuously as they do, they will make the same discovery.

15、数学主要的目标是公众的利益和自然现象的解释。