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side. For instance, I think it more important that a man should be able to work out a sum in arithmetic, than that he should be acquainted with all the abstract principles of Aristotle's logic, and that the moods of a syllogism are not so important as the rule of three, practice, and keeping accounts. If we must choose in the matter, we should lean to the practical side. One more rule I will venture to submit—they are four in all—if we must choose in these matters, the present is more important to us than the past. Institutions, communities, kingdoms, countries, with which we are daily brought into contact, are more important than institutions, kingdoms, and countries that have ceased to exist for upwards of 2000 years. I will pursue this topic no farther.
Having made these general observations as my little contribution towards the new science of ponderation or measurement which I am anxious to found, to enable us to compare one branch of knowledge with another, I will proceed, with your permission, to inquire how far the education of the middle and upper classes corresponds with this idea. Without going into detail, I may say the principal subjects of education—I don't say in Scotch Universities, for you are more liberal than we are in England, though even in your universities not quite sufficiently so—in Oxford and Cambridge are analytical mathematics, and what are called the learned languages—viz. Latin and Greek.
Now I admit that mathematics are a most admirable study, and are calculated to train the mind to strict habits of reasoning, and habits of close and sustained attention. But these are the synthetical, not the analytical mathematics. Consider to what this form of study trains a man. It educates him to approach a subject analytically. He takes his conclusion for granted, and then investigates the conditions upon which it rests. Well, that is not a good way of reasoning. The best way of reasoning is to fix upon principles and facts and see what conclusion they give you, and not to begin with a conclusion and see what principles or facts you may be able to pick up in order to support it. Then any one who has gone through this training, knows that you go by steps. One understands step by step, but the
