Hamilton
Alexander Hamilton was born in Jamaica. His mom died when he was 11. He joined the army in the summer of 1775. He then started to study the law in 1782. He came from an extremely poor family and studied to become a politician and became a very rich person. He was a strong supporter of the constitution and wasn't too strict on how to abide by it. He was also the national treasurer when Washington was president. Alexander Hamilton believed that slaves should be freed and that they were intellectually equal to whites.
Jefferson
Jefferson grew up in a plantation farm in Virginia. At the age of 14, he inherited two tobacco farms as well as slaves. He did not smoke nor like slavery but still kept both the farm and slaves anyway. He believed that blacks were inferior to whites though. He was educated by tutors until at the age of 19 he went to William and Mary. There he became a follower in John Locke's social contract theory. Jefferson believed that regular men can solve problems in society and that all men have natural rights that the government must protect. He also believed that government should be by and for the people. Jefferson was always trying to safeguard the Bill of Rights because it defended the people's rights. Jefferson did not even sign the Constitution until the Bill of Rights was placed in. As being almost one with the people, Jefferson was not into the formalities and ceremonies of government. When people came to visit him even ambassodors would be greeted by Jefferson sometimes while he was still in his bathrobe and slippers. Jefferson also took a very strict interpretation of the Constitution. If it was not in the Constitution, Jefferson did not support it. This caused much conflict between him and Hamilton. Hamilton tried to use the Necessary and Proper clauses to get by the constitution in Jefferson's mind.