You may not see it now," said the Princess of Pure Reason, looking knowingly at Milo's puzzled face, "but whatever we learn has a purpose and whatever we do affects everything and everyone else, if even in the tiniest way.

Why, can you imagine what would happen if we named all the twos Henry or George or Robert or John or lots of other things? You'd have to say Robert plus John equals four, and if the four's name were Albert, things would be hopeless.

A good book written for children can be read by adults

The Mathemagician nodded knowingly and stroked his chin several times. “You’ll find,” he remarked gently, “that the only thing you can do easily is be wrong, and that’s hardly worth the effort.

You see. . . it's really quite strenuous doing nothing all day, so once a week we take a holiday and go nowhere, which was just where we were going when you came along. Would you care to join us?

In this box are all the words I know… Most of them you will never need, some you will use constantly, but with them you may ask all the questions which have never been answered and answer all the questions which have never been asked. All the great books of the past and all the ones yet to come are made with these words. With them there is no obstacle you cannot overcome. All you must learn to do is use them well and in the right places.

Sometimes I find the best way of getting from one place to another is simply to erase everything and begin again.