I think I shall be tempted to mould into a little book these lessons of arithmetic given to Richard. I think that a boy of sense, and of age equal to that of my scholar, would derive great profit from such a little book. It would not be equal to my verbal explanations, especially accompanied with the other parts of my conduct towards my scholar; but at any rate, it would be plain; it would be what a boy could understand; it would encourage him by giving him a glimpse at the reasons for what he was doing: it would contain principles; and the difference between principles and rules is this, that the former are persuasions and the latter are commands. There is a great deal of difference between carrying 2 for such and such a reason, and carrying 2 because you _must_ carry 2. You see boys that can cover reams of paper with figures, and do it with perfect correctness too; and at the same time, can give you not a single reason for any part of what they have done. Now this is really doing very little. The rule is soon forgotten, and then all is forgotten. It would be the same with a lawyer that understood none of the principles of law. As far as he could find and remember cases exactly similar in all their parts to the case which he might have to manage, he would be as profound a lawyer as any in the world; but if there was the slightest difference between his case and the cases he had found upon record, there would be an end of his law. Some people will say, here is a monstrous deal of vanity and egotism; and if they will tell me, how such a story is to be told without exposing a man to this imputation, I will adopt their mode another time. I get nothing by telling the story. I should get full as much by keeping it to myself; but it may be useful to others, and therefore I tell it. Nothing is so dangerous as supposing that you have eight wonders of the world. I have no pretensions to any such possession. I look upon my boy as being like other boys in general. Their fathers can teach arithmetic as well as I; and if they have not a mind to pursue my method, they must pursue their own. Let them apply to the outside of the head and to the back, if they like; let them bargain for thumps and the birch rod; it is their affair and not mine. I never yet saw in my house a child that was _afraid_; that was in any fear whatever; that was ever for a moment under any sort of apprehension, on account of the learning of anything; and I never in my life gave a command, an order, a request, or even advice, to look into any book; and I am quite satisfied that the way to make children dunces, to make them detest books, and justify that detestation, is to tease them and bother them upon the subject.