Final answer:
Hamilton's objections to Burr likely included concerns about his perceived opportunism, lack of principles, and potential to weaken the federal power that Hamilton supported. We infer these objections based on Hamilton's Federalist ideology and known personal animosity towards Burr.
Step-by-step explanation:
Alexander Hamilton had several objections to Aaron Burr assuming the presidency, most of which stemmed from their deep political and personal differences. Three specific objections Hamilton could have had are not directly listed in the provided material, but based on Hamilton's Federalist positions and his known disputes with Burr, we can assess that Hamilton would likely object to Burr on the grounds of Burr's perceived opportunism, lack of principles, and possibility of weakening the federal powerHamilton supported.
Hamilton's support for a strong central government and his distrust of Burr's character suggest that he would have feared Burr encouraging too much democracy at the expense of federal power. This is aligned with Hamilton's Federalist views expressed in his writings, such as those in the Federalist Papers. Furthermore, Hamilton may have been concerned about Burr protecting individual rights to a degree that could undermine the strong national government Hamilton advocated for.