The deepest theorems often have the simplest proofs - if you look at them from the right angle.
最深刻的定理往往有最简单的证明 - 如果你从正确的角度看它们的话。
In science, we try to explain what we don't understand. In mathematics, we try to understand what we can't explain.
在科学中,我们试图解释我们不理解的事物。在数学中,我们试图理解我们无法解释的事物。
Mathematical intuition is like a muscle - it grows stronger with exercise.
数学直觉就像肌肉一样 - 通过锻炼会变得更强大。
Sometimes the most profound discoveries come from asking the simplest questions.
有时最深刻的发现来自于提出最简单的问题。
In mathematics, truth is always relative to the system you're working in.
在数学中,真理总是相对于你所在的系统而言的。
A good mathematician is someone who can see analogies between theorems. A great mathematician is someone who can see analogies between analogies.
一个好的数学家是能看到定理之间类比关系的人。一个伟大的数学家是能看到类比关系之间的类比关系的人。
Mathematics is the language in which the gods talk to people.