if only these treasures were not so fragile as they are precious and beautiful.

Mathematics has the completely false reputation of yielding infallible conclusions. Its infallibility is nothing but identity. Two times two is not four, but it is just two times two, and that is what we call four for short. But four is nothing new at all. And thus it goes on and on in its conclusions, except that in the higher formulas the identity fades out of sight.

Every step of life shows much caution is required.

Higher yet and higher out of clouds and night, nearer yet and nearer rising to the light - light, serene and holy where my soul may rest, purified and lowly, sanctified and blest.

The artist has a twofold relation to nature; he is at once her master and her slave.

How to please the public - that's the test, But nowadays I find I'm in a fix; I know they're not accustomed to the best, But they've all read so much they know the tricks. How can we give then something fresh and new That's serious, but entertaining too?

To act is easy, to think is hard; to act according to our thought is troublesome.