As to the mode of terminating the war and securing peace, the President is equally wandering and indefinite. First, it is to be done by a more vigorous prosecution of the war in the vital parts of the enemy's country; and, after apparently talking himself tired on this point, the President drops down into a half-despairing tone, and tells us, that "with a people distracted and divided by contending factions, and a government subject to constant changes, by successive revolutions, _the continued success of our arms may fail to obtain a satisfactory peace."_ Then he suggests the propriety of wheedling the Mexican people to desert the counsels of their own leaders, and, trusting in our protection, to set up a government from which we can secure a satisfactory peace, telling us that, "_this may become the only mode of obtaining such a peace_." But soon he falls into doubt of this, too, and then drops back on to the already half-abandoned ground of "more vigorous prosecution." All this shows that the President is in no wise satisfied with his own positions. First, he takes up one, and, in attempting to argue us into it, he argues himself out of it; then seizes another, and goes through the same process; and then, confused at being able to think of nothing new, he snatches up the old one again, which he has some time before cast off. His mind, tasked beyond its power, is running hither and thither, like some tortured creature on a burning surface, finding no position on which it can settle down and be at ease. Again, it is a singular omission in this Message, that it nowhere intimates _when_ the President expects the war to terminate. At its beginning, Gen. Scott was, by this same President, driven into disfavor, if not disgrace, for intimating that peace could not be conquered in less than three or four months. But now at the end of about twenty months, during which time our arms have given us the most splendid successes,--every department, and every part, land and water, officers and privates, regulars and volunteers, doing all that men could do, and hundreds of things which it had ever before been thought that men could not do,--after all this, this same President gives us a long Message without showing us that, _as to the end,_ he has himself even an imaginary conception. As I have before said, he knows not where he is. He is a bewildered, confounded, and miserably perplexed man. God grant he may be able to show that there is not something about his conscience more painful than all his mental perplexity. This speech he hastened to send home as soon as it was printed; for, while throughout he trod on unquestionable Whig ground, he had excellent reasons to fear the result. The following is the first letter to Mr. Herndon after the delivery of the speech, and notifying him of the fact:-- Washington, Jan. 19, 1848.