There have been many improvements suggested or realized lately in collegiate education. We have been gratified with Professor Sedgwick's admirable treatise on the subject, which, at this time, is receiving in England that consideration to which any thing from the mind of one so distinguished is entitled. In this country we think no one, upon the whole, has written more wisely than Dr. Wayland, whose views are to be illustrated in the future government of the university over which he has so long presided. But we shall not be satisfied until we have a great institution, as much above the existing colleges as they are above the common schools in the wards of the city, to which bachelors of arts only shall be admitted, and to which they, whether coming from Harvard, Oberlin, or Virginia, shall be admitted without charge. The establishment of the NEW-YORK FREE ACADEMY is suggestive of many things, and of this among them. We suppose a discussion whether our colleges supply the _degree_ of education suitable to our general condition, could be entertained only by dunces; the point whether they furnish the kind and quality of culture to fit men for efficient and just action, in such public affairs and private occupations as the humblest may be called to in a free state, has been amply discussed, and it is decided against the colleges. Our schools, called colleges, have for the most part been fashioned after the universities of Europe, but they have in all cases been inadequately endowed, and without the internal police which is necessary to their vigorous administration. Nine-tenths of the professors are incompetent, and quite one half of them, in any thing worthy the name of university could claim admission only to the class of freshmen; while those who are capable of a reputable performance of their duties--so uncertain are the revenues of the institutions to which they are attached--are very frequently compelled to modify regulations and relax discipline to such a degree that the colleges become only schools of vice or nurseries of indolence. The deficiency is of _authority_. It is useless to talk about courses of study, or any thing else, until the discipline of the schools is as absolute as that of the camp, the factory, or the counting-room. We are inclined to believe that the usefulness of the Military Academy at West Point,--which has furnished so large a proportion of the best civil engineers, lawyers, physicians, and divines, as well as the soldiers who and who _alone_ have conducted our armies to real glory,--we are inclined to believe that this justly celebrated school owes all its triumphs to its rigid laws and independence of popular clamor.