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Please, if you can, avoid mindless thinking like "x is bad because it's wrong".
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I will go first. One fundamental rule should be that laws should be designed to punish those who hurt others.

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Define "hurt".

I think the purpose of the laws should be to maximize the happiness of the society. Hopefully the people on the island are nice, and like other people to be happy -- that will allow the rules to be minimal, and the happiness maximized. Otherwise, there will be a lot of rules, and everyone will suffer for it.

The minimal rule for me would be: act compassionately.