If now these studies coöperate properly, a great deal will be done, in conjunction with religious instruction, toward turning the youthful mind in the directions that answer to a many-sided interest. But if, on the contrary, the languages and mathematics were allowed to fall apart, if the connecting links were removed, and every pupil were permitted to choose one or the other branch of study, according to his preferences, mere bald one-sidedness of the kind sufficiently characterized above would be the outcome. 88. It is admitted now that not only classical but also public high schools in general should provide for this same many-sided culture, that is, should take account of the same main classes of interests. The only difference lies in the fact that for the pupils of the classical high schools the practice of a vocation is not so near at hand; whereas, in the public high schools, there is a certain preponderance of modern literature and history, together with inability to equip completely with the helps to a manifold mental activity those who purpose to go on. Much the same is true of all the lower schools whose aim is to educate. It is different with trade schools and polytechnic institutes; in short, with those schools which presuppose a completed education--completed to the extent permitted by circumstances. If, then, the programme of a public high school is of the right sort, it will show as well as the curriculum of a classical preparatory school does, that an attempt is being made to guard against such one-sidedness as would be the outcome if one of the six main classes of interest were slighted. How one-sidedness under an elective system may be avoided is discussed in a previous section (65). 89. But no instruction is able to prevent the special varieties of one-sidedness that may develop within the limits of each main group. When observation, reflection, the sense of beauty, sympathy, public spirit, and religious aspiration have once been awakened, although perhaps only within a small range of objects, the farther extension over a greater number and variety of objects must be left largely to the individual and to opportunity. To pupils of talent, above all of genius, instruction may give the necessary outlook by enabling them to see what talent and genius achieve elsewhere; but their own distinguishing traits they must themselves answer for and retain. Moreover, the above-mentioned forms of one-sidedness are not all equally detrimental, because they do not assert themselves with the same degree of exclusiveness. Each may, indeed, lead to self-conceit; but this tendency does not attach to all in the same measure.