Xodarap comments on A Pure Math Argument for Total Utilitarianism - Less Wrong Discussion
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Don't arguments related to the badness of inequality often rely on the existence of envy such that if I envy you then my utility goes down as yours increases.
Yes, one way to rescue this is to value equality instrumentally, instead of intrinsically.
(Similarly, I tentatively am an average utilitarian, but I still value population size instrumentally.)