What are we now to understand by destruction of the enemy’s Army?  A diminution of it relatively greater than that on our own side.  If we have a great superiority in numbers over the enemy, then naturally the same absolute amount of loss on both sides is for us a smaller one than for him, and consequently may be regarded in itself as an advantage.  As we are here considering the combat as divested of all (other) objects, we must also exclude from our consideration the case in which the combat is used only indirectly for a greater destruction of the enemy’s force; consequently also, only that direct gain which has been made in the mutual process of destruction, is to be regarded as the object, for this is an absolute gain, which runs through the whole campaign, and at the end of it will always appear as pure profit.  But every other kind of victory over our opponent will either have its motive in other objects, which we have completely excluded here, or it will only yield a temporary relative advantage.  An example will make this plain.

If by a skilful disposition we have reduced our opponent to such a dilemma, that he cannot continue the combat without danger, and after some resistance he retires, then we may say, that we have conquered him at that point; but if in this victory we have expended just as many forces as the enemy, then in closing the account of the campaign, there is no gain remaining from this victory, if such a result can be called a victory.  Therefore the overcoming the enemy, that is, placing him in such a position that he must give up the fight, counts for nothing in itself, and for that reason cannot come under the definition of object.  There remains, therefore, as we have said, nothing over except the direct gain which we have made in the process of destruction; but to this belong not only the losses which have taken place in the course of the combat, but also those which, after the withdrawal of the conquered part, take place as direct consequences of the same.

Now it is known by experience, that the losses in physical forces in the course of a battle seldom present a great difference between victor and vanquished respectively, often none at all, sometimes even one bearing an inverse relation to the result, and that the most decisive losses on the side of the vanquished only commence with the retreat, that is, those which the conqueror does not share with him.  The weak remains of battalions already in disorder are cut down by cavalry, exhausted men strew the ground, disabled guns and broken caissons are abandoned, others in the bad state of the roads cannot be removed quickly enough, and are captured by the enemy’s troops, during the night numbers lose their way, and fall defenceless into the enemy’s hands, and thus the victory mostly gains bodily substance after it is already decided.  Here would be a paradox, if it did not solve itself in the following manner.