Answer:
Hamilton was a man who never backed down from a fight. He was arrogant and loud mouthed. Burr and Hamilton were from two separate parties and were very vocal about their ideals (at least Hamilton was). This duel can be seen as a fight between the two parties because of the parties they belonged to and their ideals. Hamilton felt obligated to accept because he was a man who thought very highly of himself and didn't want to look weak from backing down from a fight. Burr issued the challenge because he was fed up with Hamilton being his rival his entire life. Hamilton was his competitor in all aspects. He got to help George Washington when Burr wanted to. Burr and Hamilton were competing lawyers. So, when Hamilton refused to endorse Burr as president, Burr snapped. Yes it could have been avoided if Burr would've sucked it up and if Hamilton wasn't a hot head. Hamilton was a man with a lot of influence and very strong opinions, so we probably would've seen him as president. Today we see the same tensions between parties. And politics should be the parties against the problem, not the problems against each other.