Alexander Hamilton's life was shaped by several key events that influenced his political philosophy and career. His illegitimate birth in the Caribbean led to a challenging youth, but he rose through education and ambition to become a prominent figure in American history. Key events include his role as a military officer during the Revolutionary War, participation in the Constitutional Convention, and the establishment of the nation’s financial system as the first Secretary of the Treasury. Hamilton's vision of a strong central government and a robust economy shaped the country's trajectory, and his writings continue to impact American politics and economics today.