The greatest and perhaps only utility of all philosophy of pure reason is thus only negative, namely that it does not serve for expansion, as an orga… - Immanuel Kant

Through education, then, man must be made — First, subject to discipline; by which we must understand that influence which is always restraining our animal nature from getting the better of our manhood, either in the individual as such, or in man as a member of society. Discipline, then, is merely restraining unruliness.

Secondly, education must also supply men with culture. This includes information and instruction. It is culture which brings out ability. Ability is the possession of a faculty which is capable of being adapted to various ends. Ability, therefore, does not determine any ends, but leaves that to circumstances as they arise afterwards.

Some accomplishments are essentially good for everybody — reading and writing, for instance; others, merely in the pursuit of certain objects, such as music, which we pursue in order to make ourselves liked. Indeed, the various purposes to which ability may be put are almost endless.

Thirdly, education must also supply a person with discretion (Klugheit), so that he may be able to conduct himself in society, that he may be liked, and that he may gain influence. For this a kind of culture is necessary which we call refinement (Civilisierung). The latter requires manners, courtesy, and a kind of discretion which will enable him to use all men for his own ends. This refinement changes according to the ever-changing tastes of different ages. Thus some twenty or thirty years ago ceremonies in social intercourse were still the fashion.

Fourthly, moral training must form a part of education. It is not enough that a man shall be fitted for any end, but his disposition must be so trained that he shall choose none but good ends — good ends being those which are necessarily approved by everyone, and which may at the same time be the aim of everyone.

Newton... (after having remarked that geometry only requires two of the mechanical actions which it postulates, namely, to describe a straight line and a circle) says: geometry is proud of being able to achieve so much while taking so little from extraneous sources. One might say of metaphysics, on the other hand: it stands astonished, that with so much offered it by pure mathematics it can effect so little. In the meantime, this little is something which mathematics indispensably requires in its application to natural science, which, inasmuch as it must here necessarily borrow from metaphysics, need not be ashamed to allow itself to be seen in company with the latter.

Man, and in general every rational being, exists as an end in himself, not merely as a means for arbitrary use by this or that will: he must in all his actions, whether they are directed to himself or to other rational beings, always be viewed at the same time as an end.