Sidgwick demonstrated in Methods of Ethics that Mill's proof conflates the claim that each person desires their own happiness with the distinct claim that general happiness is desirable.
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Henry Sidgwick (1838-1900) was a British philosopher who made important contributions to ethics, particularly by arguing that morality should be based on reason and impartial concern for everyone's well-being rather than just following traditions or religious rules. He is famous for developing "utilitarianism," the idea that the right action is the one that produces the greatest happiness for the greatest number of people. His work remains influential in moral philosophy and practical ethics today because he thoughtfully addressed how we should balance our own interests with our obligations to others.
desirable(Moore's critique of Mill's naturalistic fallacy argument)
The property of being deserving or worthy of being desired