The Mathematical Sciences show themselves in many professions and trades which do not bear the titles of learning, whereby it is well seen that they are really profitable; they do not make much outward show, but our daily life benefits greatly by them. It is no just objection to ask, “What should merchants, carpenters, masons, shipmasters, mariners, surveyors, architects, and other such do with learning? Do they not serve the country’s needs well enough without it?” Though they may do well without it, might they not do better with it? The speaking of Latin is no necessary proof of deeper learning, but Mathematics are the first rudiments for young children, and the sure means of direction for all skilled workmen, who without such knowledge can only go by rote, but with it might reach genuine skill. The sciences that we term ‘mathematical’ from their very nature always achieve something good, intelligible even to the unlearned, by number, figure, sound, or motion. In the manner of their teaching also they plant in the mind of the learner a habit of resisting the influence of bare probabilities, of refusing to believe in light conjectures, of being moved only by infallible demonstrations. Mathematics had its place before the tongues were taught, which though they are now necessary helps, because we use foreign languages for the conveyance of knowledge, yet push us one degree further off from knowledge. A College for Philosophy. The third college should be devoted to Philosophy in all its three kinds, each of which forms a preparation for a particular profession--Natural Philosophy for Medicine, Political Philosophy for Law, and Moral Philosophy for Divinity. But in this distribution some will ask, “Where do Logic and Rhetoric come in?” I would ask in reply, “What is the place of Grammar?” It is the preparative to language. In the same way, Logic on the side of demonstration takes the part of Grammar for the Mathematical Sciences and Natural Philosophy, and in its consideration of probabilities fills the same place for Moral and Political Philosophy. Rhetoric helps the writer to attain purity of style without emotion, and the speaker to use persuasion with an appeal to the feelings, though sometimes, indeed, the latter deals only in argument, while the former may wax hot over his writing. As to the proper order of these studies, we are accustomed to set young students to Moral and Political Philosophy first, but we should rather follow Aristotle in placing Natural Philosophy next to the Mathematical Sciences, because it is more intelligible for young heads on account of its deductive reasoning, whereas Moral and Political Philosophy, being subject to particular circumstances in life, should be reserved for riper years. Professional Colleges.