It has recently been suggested by parties who certainly have not thought very deeply on the subject, that the completion of the Atlantic Telegraph, which every body reasonably expects soon to be completed, will so inaugurate a new era in the transmission of intelligence, that one of its effects will be the supersession of fast ocean mails, and consequently of subsidized steamers. It is a first and palpable view of this question that much of the important intelligence between the two countries requiring speedy transmission will be sent through the telegraph, notwithstanding the necessarily high prices which will be charged for dispatches. These communications will be sententious, summary, and of great variety. The markets, prices, important political and other events, private personal and unelaborated intelligence will come over the wires just as they now come over existing land lines. The line will create extra facilities for operations on both sides, and cause more mutual business to be done. It will thus create the necessity for more correspondence than before, for particulars, elaboration, items, bills of lading, exchanges, duplicates, minute instructions, etc., to which there will be no end. The main transaction of any business being made more quickly, it will be essential for the papers to pass with greater dispatch. If there were twenty telegraphic wires working day and night, which never can be the case from their expensiveness, they could not do in a month the correspondence and business done by one steamer's mail. Beside this, those who got their dispatches first would have a decided advantage over those who would be compelled from the mass of business to wait several days. It is an advantage of the steam mails that all get their letters and papers at the same time; and that no one has thus the advantage of the other. It is hardly possible for one unacquainted with the postal business to conceive how large a mass of mail matter is deposited by each steamer; and it is only necessary to see this to realize that the Atlantic Telegraph will never materially interfere with the steamers except to require of them greater speed and heavier mails.