I am going to tell you what nature behaves like. If you will simply admit that maybe she does behave like this, you will find her a delightful, entrancing thing. Do not keep saying to yourself, if you can possibly avoid it, 'But how can it be like that?' ...Nobody knows how it can be like that.

We never are definitely right, we can only be sure we are wrong.

If we will only allow that, as we progress, we remain unsure, we will leave opportunities for alternatives.

You see, I get such fun out of thinking that I don't want to destroy this most pleasant machine that makes life such a big kick.

If you're doing an experiment, you should report everything that you think might make it invalid - not only what you think is right about it; other causes that could possibly explain your results; and things you thought of that you've eliminated by some other experiment, and how they worked -to make sure the other fellow can tell they have been eliminated.

While I am describing to you how Nature works, you won't understand why Nature works that way. But you see, nobody understands that.

Mathematics is a language plus reasoning. It's like a language plus logic. Mathematics is a tool for reasoning.