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owencb comments on Embracing the "sadistic" conclusion - Less Wrong Discussion
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It doesn't seem clear that it is always possible to keep "other stuff" constant when varying welfare?
I guess I don't see how you're defining mixed systems. My first version makes any axiology at all "mixed", since you can just take the reliance on welfare to be trivial (which is a trivial example of a welfarist system).
If you have broader theorems about violating this set of conditions, they would be very interesting to know about.
Actually I'm not sure the anti-egalitarian conclusion is even well-formed for non-welfarist systems. You can look at welfare levels (if you think those exist) to get what looks like a form of the conclusion, but then we might say that what looks like it's anti-egalitarian is not better because of the less equal arrangement of welfare, but for some other, non-welfare, reasons. Which doesn't seem necessarily pathological (if you are happy with non-welfare reasons entering in).