The “evil” we know exists is physical and mental pain. The “good” we know exists is physical and mental pleasure. Therefore, it is morally right to maximize pleasure and morally wrong to maximize pain.
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There are no set numbers. Each situation has to be evalued according to its own merits. As for the dying kid, well, that depends on how much worse his family and friends will feel if he’s killed by the terrorist instead of by cancer, and how bad your family and friends will feel if you die. As for maiming, that could possibly cause more pain than killing, so I’d say we’re still on the sacrifice side.
I cannot see how moral obligation is affected in the slightest by who caused the situation. The only reasons people should take responsibility for their own actions are a) the world would be a better place if everyone did and b) they learn to not do actions with bad consequences.
I am giving money to African children via Unicef. I’m also donating to some other charities. Since I’m a student, there’s not a lot of money to give. I am keeping some for myself, because my happiness is important too. I’m no less important than anyone else.
I don’t understand how you can value continued existence for you, which should have no value beyond an instinct to survive, over the very real and definitely concrete fact of pain, grief, misery and anguish for uncountable people. Would you happily kill a billion people to save your own life? It’s essentially the same question: you have two choices, one leads to you surviving and a billion dying, the other to you dying and a billion living.