This is in tactics, as well as in Strategy, the most general principle of victory, and shall be examined by us first in its generality, for which we may be permitted the following exposition:
Strategy fixes the point where, the time when, and the numerical force with which the battle is to be fought. By this triple determination it has therefore a very essential influence on the issue of the combat. If tactics has fought the battle, if the result is over, let it be victory or defeat, Strategy makes such use of it as can be made in accordance with the great object of the War. This object is naturally often a very distant one, seldom does it lie quite close at hand. A series of other objects subordinate themselves to it as means. These objects, which are at the same time means to a higher purpose, may be practically of various kinds; even the ultimate aim of the whole War may be a different one in every case. We shall make ourselves acquainted with these things according as we come to know the separate objects which they come, in contact with; and it is not our intention here to embrace the whole subject by a complete enumeration of them, even if that were possible. We therefore let the employment of the battle stand over for the present.
Even those things through which Strategy has an influence on the issue of the combat, inasmuch as it establishes the same, to a certain extent decrees them, are not so simple that they can be embraced in one single view. For as Strategy appoints time, place and force, it can do so in practice in many ways, each of which influences in a different manner the result of the combat as well as its consequences. Therefore we shall only get acquainted with this also by degrees, that is, through the subjects which more closely determine the application.
If we strip the combat of all modifications which it may undergo according to its immediate purpose and the circumstances from which it proceeds, lastly if we set aside the valour of the troops, because that is a given quantity, then there remains only the bare conception of the combat, that is a combat without form, in which we distinguish nothing but the number of the combatants.
This number will therefore determine victory. Now from the number of things above deducted to get to this point, it is shown that the superiority in numbers in a battle is only one of the factors employed to produce victory that therefore so far from having with the superiority in number obtained all, or even only the principal thing, we have perhaps got very little by it, according as the other circumstances which co-operate happen to vary.
But this superiority has degrees, it may be imagined as twofold, threefold or fourfold, and every one sees, that by increasing in this way, it must (at last) overpower everything else.