If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living

A very small cause, which escapes us, determines a considerable effect which we cannot ignore, and we say that this effect is due to chance.

It is by logic we prove. It is by intuition we discover.

How is error possible in mathematics?

The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.

Need we add that mathematicians themselves are not infallible?

Logic sometimes makes monsters. For half a century we have seen a mass of bizarre functions which appear to be forced to resemble as little as possible honest functions which serve some purpose.