TheOtherDave comments on A (small) critique of total utilitarianism - Less Wrong
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[edit: this response was to an earlier version of the above comment, before it was edited. Some of it is no longer especially apposite to the comment as it exists now.]
Well, I agree that 3^^^3 dust specks don't quite add linearly... long before you reach that ridiculous mass, I expect you get all manner of weird effects that I'm not physicist enough to predict. And I also agree that our intuitions are that dust specks add linearly.
But surely it's not the dust-specks that we care about here, but the suffering? That is, it seems clear to me that if we eliminated all the dust specks from the scenario and replaced them with something that caused an equally negligible amount of suffering, we would not be changing anything that mattered about the scenario.
And, as I said, it's not at all clear to me that I intuit linear addition of suffering (whether it's caused by dust-specks, torture, or something else), or that the scenario depends on assuming linear addition of suffering. It merely depends on assuming that addition of multiple negligible amounts of suffering can lead to an aggregate-suffering result that is commensurable with, and greater than, a single non-negligible amount of suffering.
It's not clear to me that this assumption holds, but the linear-addition objection seems like a red herring to me.
Ah, I see.
Yeah, sure, there's only X possible ways for a human to be (whether 10^(10^20) or some other vast number doesn't really matter), and there's only Y possible ways for a dust speck to be, and there's only Z possible ways for a given human to experience a given dust speck in their eye. So, sure, we only have (XYZ) distinct dust-speck-in-eye events, and if (XYZ) << 3^^^3 then there's some duplication. Indeed, there's vast amounts of duplication, given that (3^^^3/(XYZ)) is still a staggeringly huge number.
Agreed.
I'm still curious about what difference that makes.