I have been saying the whole time that either party can reject the mediation process and prefer violence. It is also possible that both parties could get together and forget the whole thing, and that may be likely for small disputes. I doubt that would happen very often for more serious disputes. Can you explain what you mean by “society working”? One could make the argument that American society does not work. I imagine imprisoned victimless criminals feel that way. I imagine anyone who has lost their home due to eminent domain feels that way. Anybody who was not satisfied with the outcome of a trial feels that way. One could make the case that North Korean society works. After all, it functions. So, what do you mean by a society working?
No. There are only two outcomes to a dispute. Either both parties agree to the solution or they don’t. It just so happens that when the State decides the solution, most people do not wish to go against the decision of the State. But there are people who do not agree to the solution, and they will act as they see fit. There is no third option.
Pure speculation. If they want the murderer dead more than any other option, then they will attempt it. Period. That it what it means by will “not settle for anything less than the death of the murderer”. If they won’t settle for anything less, then they won’t. If they will, then it is possible that a defense agency would stop them. But, as I have previously stated, there are people who take vigilante justice in our world today. Obviously, the State did not stop them. So what makes you think some private defense agency will stop them?
With all due respect, it is your reasoning that is based on false premises, and you are the one who was having trouble with definitions. Would you care to point out which assumptions of ours you believe to be false? In regards to the use of specific words: words mean things. In a debate, they need to mean only one thing for intellectual clarity. From the way you were phrasing your response to Clayton, it was not clear that you understood the difference between a judge and arbitrator (mediator). If you do not use the appropriate words (words that most people here understand to mean certain things), then it is of the utmost importance that you define how you are using the words you use. I am not trying to refute your argument because you don’t use the correct words, but if you are not clear with what you are saying, then it is your argument that suffers.
Clayton already answered your OP sufficiently. This is the discussion that grew out of his response. But if you would like something specifically about the Trayvon Martin case, then I will direct you to this post here by LogisticEarth. I will quote what I believe to be the most relevant parts of his post here: