I think that the role of the mathematician is to discover these patterns and to explain them.
我认为数学家的作用是发现这些模式并解释它们。
The process of doing mathematics is more important than the result.
In mathematics, there are no shortcuts.
在数学中,没有捷径可走。
The beauty of mathematics is that it is eternal, it doesn't change.
数学的美在于它是永恒的,它不会改变。
When you solve a mathematical problem, you don't just get the answer - you understand why it's the answer.
当你解决一个数学问题时,你不仅得到了答案,还理解了为什么这是答案。
The greatest problem for mathematicians now is probably the Riemann Hypothesis.
现在数学家面临的最大问题可能是黎曼假设。
Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost.
数学不是沿着一条清理干净的高速公路小心翼翼地行进,而是一次进入陌生荒野的旅程,探险者常常会迷路。
The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.
一个好的数学问题的定义是它产生的数学,而不是问题本身。
I think that the thing that makes mathematics worthwhile is the fact that it has this incredible structure that you can explore and discover.
我认为数学之所以有价值,是因为它具有这种令人难以置信的结构,你可以探索和发现。
数学是理性的音乐。