The age of exploration was based on the idea of seeking for more wealth in the new world. Those who sought to explore the new world were looking for fame and the wealth that came with it. It was also founded on the search for religious freedom and curiosity.
The answer is humans are capable of creating a fair system
Hamilton was seen as a person who favored more power obtained by the central government. This means he was in favor of things like a national bank, less state rights, and less of an ability for freed slaves to vote (because federalists were also democrats). Jefferson, on the contrary, was an anti-federalist. He feared that excess central power would infringe on the rights of the states, and so to avoid this, he did as much as he could to retain state rights. He also believed central government authority gave more power to the upper class (wealthy whites) than it did to the common man (poor whites, freed slaves).
The rivers led to fertile soil and protection for people in the area so it was a prime place for settlement. Example; Egypt and the Nile.
Because the economy of the united states depended on trade with great Britain