It has of late, Mr. President, become fashionable to attach very little importance to the office of Vice President, to consider it a matter but of small consequence who the man may be; to view his post merely as an idle post of honor, and the incumbent as a cipher in the Government; or according to the idea expressed by an honorable member from Georgia, (Mr. JACKSON,) quoting, I believe, the language of some Eastern politician, as a fifth wheel to a coach; but in my humble opinion this doctrine is both incorrect and dangerous. The Vice President is not only the second officer of Government in point of rank, but of importance, and should be a man possessing and worthy of the confidence of the nation. I grant, sir, should this designating mode of election succeed, it will go very far to destroy, not the certain or contingent duties of the office, for the latter by this resolution are considerably extended, but what may be much more dangerous, the personal consequence and worth of the officer; by rendering the Electors more indifferent about the reputation and qualification of the candidate, seeing they vote for him but as a secondary character; and which may occasion this high and important trust to be deposited in very unsafe hands. By a provision in the first section of the second article of the constitution, “in case of the removal of the President from office, or of his death, resignation or inability to discharge the powers and duties of the said office, the same shall devolve on the Vice President”--and he is constitutionally the President, not until another can be made only, but of the residue of the term, which may be nearly four years; and this is not to be supposed a remote or improbable case. In the State to which I have the honor to belong, within a few years past, two instances have happened of the place of Governor becoming vacant, and the duties of the office, according to the constitution of that State, devolving upon the Speaker of the Senate. We know well too, generally speaking, that before any man can acquire a sufficient share of the public confidence to be elected President, the people must have long been acquainted with his character and his merit; he must have proved himself a good and faithful servant, and will of course be far advanced in years, when the chances of life will be much against him. It may indeed, owing to popular infatuation, or some other extraordinary causes, be the ill fate of our country, that an unworthy designing man, grown old and gray in the ways of vice and hypocrisy, shall for a time dishonor the Presidential chair, or it may be the fortune of some young man to be elected, but those will rarely happen. The convention in constructing this part of the constitution, in settling the first and second offices of the Government, and pointing out the mode of filling, aware of the probability of the Vice President succeeding to the office of President, endeavored to attach as much importance and respectability to his office as possible, by making it uncertain at the time of voting, which of the persons voted for should be President, and which Vice President; so as to secure the election of the best men in the country, or at least those in whom the people reposed the highest confidence, to the two offices--thus filling the office of Vice President with one of our most distinguished citizens, who would give respectability to the Government, and in case of the Presidency becoming vacant, having at his post a man constitutionally entitled to succeed, who had been honored with the second largest number of the suffrages of the people for the same office, and who of consequence would be probably worthy of the place, and competent to its duties. Let us now, Mr. President, examine for a moment the certain effect of the change about to be made, or what must be the operation of this designating principle, if you introduce it into the constitution. Now the Elector cannot designate, but must vote for two persons as President, leaving it to circumstances not within his power to control which shall be the man: of course he will select two characters, each suitable for that office, and the second highest in vote must be the Vice President; but upon this designating plan the public attention will be entirely engrossed in the election of the President, in making one great man. The eyes of each contending party will be fixed exclusively upon their candidate for this first and highest office; no surrounding object can be viewed at the same time, they will be lost in his disc.