Certainly it seems that the supreme direction of an army (and the direction of every whole) must be greatly facilitated if there are only three or four subordinates to command, but the commander-in-chief must pay dearly for this convenience in a twofold manner. In the first place, an order loses in rapidity, force, and exactness if the gradation ladder down which it has to descend is long, and this must be the case if there are corps-commanders between the division leaders and the chief; secondly, the chief loses generally in his own proper power and efficiency the wider the spheres of action of his immediate subordinates become. A general commanding 100,000 men in eight divisions exercises a power which is greater in intensity than if the 100,000 men were divided into only three corps. There are many reasons for this, but the most important is that each commander looks upon himself as having a kind of proprietary right in his own corps, and always opposes the withdrawal from him of any portion of it for a longer or shorter time. A little experience of war will make this evident to any one. But on the other hand the number of divisions must not be too great, otherwise disorder will ensue. It is difficult enough to manage eight divisions from one head quarter, and the number should never be allowed to exceed ten. But in a division in which the means of circulating orders are much less, the smaller normal number four, or at most five, may be regarded as the more suitable. If these factors, five and ten, will not answer, that is, if the brigades are too strong, then _corps d’armée_ must be introduced; but we must remember that by so doing, a new power is created, which at once very much lowers all other factors. But now, what is too strong a brigade? The custom is to make them from 2,000 to 5,000 men strong, and there appear to be two reasons for making the latter number the limit; the first is that a brigade is supposed to be a subdivision which can be commanded by one man directly, that is, through the compass of his voice: the second is that any larger body of infantry should not be left without artillery, and through this first combination of arms a special division of itself is formed. We do not wish to involve ourselves in these tactical subtilties, neither shall we enter upon the disputed point, where and in what proportions the combination of all three arms should take place, whether with divisions of 8,000 to 12,000 men, or with corps which are 20,000 to 30,000 men strong. The most decided opponent of these combinations will scarcely take exception at the mere assertion, that nothing but this combination of the three arms can make a division independent, and that therefore, for such as are intended to be frequently detached separately, it is at least very desirable.