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The Repugnant Conclusion
The repugnant conclusion is part of its claim that for any set of people, let's say there are imagine there are eight billion people on the planet who have all of them very happy lives. The philosopher felt it couldn't possibly be right because it's so counterintuitive. And yet he thought that there were arguments which suggested that it was the right conclusion to draw. To the end of his life, he was trying to find a solution to the repugnant Conclusion.