AUGUST 10TH.—Mr. Benjamin is a frequent visitor at the department, and is very sociable: some intimations have been thrown out that he aspires to become, some day, Secretary of War. Mr. Benjamin, unquestionably, will have great influence with the President, for he has studied his character most carefully. He will be familiar not only with his “likes,” but especially with his “dislikes.” It is said the means used by Mr. Blair to hold Gen. Jackson, consisted not so much in a facility of attaching strong men to him as his friends, but in aiming fatal blows at the great leaders who had incurred the enmity of the President. Thus Calhoun was incessantly pursued.