In our last number we mentioned the action of the Whig State Convention at Syracuse, the secession of forty members in consequence of the adoption of a resolution approving the course of Senator SEWARD, and their subsequent meeting at Utica, and renomination of the same ticket. Mr. HUNT, the Whig candidate for Governor, wrote a letter expressing acquiescence in the peace measures of Congress, but adding that the Fugitive Slave Law contained many unjust provisions, and ought to receive essential modifications. A convention representing the Anti-Renters of the state afterward assembled, and nominated Mr. HUNT as their candidate for Governor. On the 22d of October he wrote a letter to the Committee declining to recognize the action of any organization except that of the Whig party from which he had first received his nomination, and adding that, if elected, his "Constitutional duties could not be changed, nor his conduct in the discharge of them influenced, by the course taken in the election by any particular class of our citizens or any organization other than the party to which he belonged." Under all circumstances, he said, it would be his highest aim to execute his official trust with firmness and impartiality. He would "be actuated by an honest desire to promote justice, to uphold the supremacy of the law, to facilitate all useful reforms, to second legitimate endeavors for the redress of public grievances, and to protect the rights and advance the welfare of the whole people."