Thomas Jefferson's view of the national debt differed significantly from that of Alexander Hamilton. The correct understanding is that Jefferson wanted to pay off the debt, while Hamilton did not. Jefferson believed in reducing the national debt and maintaining a limited government, while Hamilton saw the debt as a means to strengthen the federal government and believed it could be beneficial for establishing credit and fostering economic growth.
So, the first option: Jefferson wanted to pay off the debt, Hamilton did not is the accurate statement.