To show this, and show why it is so, is pre-eminently the task of the mistress science. But whether theology is studied or not, we should at least insist that children who seem inclined to specialize on the mathematical and scientific side should be obliged to attend some lessons in the humanities and vice versa. At this stage, also, the Latin grammar, having done its work, may be dropped for those who prefer to carry on their language studies on the modern side; while those who are likely never to have any great use or aptitude for mathematics might also be allowed to rest, more or less, upon their oars.

Generally speaking, whatsoever is mere apparatus may now be allowed to fall into the background, while the trained mind is gradually prepared for specialization in the “subjects” which, when the Trivium is completed, it should be perfectly well equipped to tackle on its own. The final synthesis of the Trivium–the presentation and public defense of the thesis–should be restored in some form; perhaps as a kind of “leaving examination” during the last term at school.

The scope of Rhetoric depends also on whether the pupil is to be turned out into the world at the age of 16 or whether he is to proceed to the university. Since, really, Rhetoric should be taken at about 14, the first category of pupil should study Grammar from about 9 to 11, and Dialectic from 12 to 14; his last two school years would then be devoted to Rhetoric, which, in this case, would be of a fairly specialized and vocational kind, suiting him to enter immediately upon some practical career. A pupil of the second category would finish his Dialectical course in his preparatory school, and take Rhetoric during his first two years at his public school. At 16, he would be ready to start upon those “subjects” which are proposed for his later study at the university: and this part of his education will correspond to the mediaeval Quadrivium. What this amounts to is that the ordinary pupil, whose formal education ends at 16, will take the Trivium only; whereas scholars will take both the Trivium and the Quadrivium.