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Well, within the 3^^^3 people you have every single possible brain replicated a gazillion times already (there's only that many ways you can arrange the atoms in the volume of human head, sufficiently distinct as to be computing something subjectively different, after all, and the number of such arrangements is unimaginably smaller than 3^^^3 ).
I don't think that e.g. I must massively prioritize the happiness of a brain upload of me running on multiple redundant hardware (which subjectively feels the same as if it was running in one instance; it doesn't feel any stronger because there's more 'copies' of it running in perfect unison, it can't even tell the difference. It won't affect the subjective experience if the CPUs running the same computation are slightly physically different).
edit: also again, pseudomath, because you could have C(dustspeck, n) = 1-1/(n+1) , your property holds but it is bounded, so if the c(torture, 1)=2 then you'll never exceed it with dust specks.
Seriously, you people (LW crowd in general) need to take more calculus or something before your mathematical intuitions become in any way relevant to anything whatsoever. It does feel intuitively that with your epsilon it's going to keep growing without a limit, but that's simply not true.
I consider entities in computationally distinct universes to also be distinct entities, even if the arrangements of their neurons are the same. If I have an infinite (or sufficiently large) set of physical constants such that in those universes human beings could emerge, I will also have enough human beings.
No. I will always find a larger number which is at least ε greater. I fixed ε before I talked about n,m. So I find numbers m1,m2,... such that C(dustspeck,m_j) > jε.
Besides which, even if I had somehow messed up, you're not here (I hope) to score easy points because my mathematical formalization is flawed when it is perfectly obvious where I want to go.
Well, in my view, some details of implementation of a computation are totally indiscernible 'from the inside' and thus make no difference to the subjective experiences, qualia, and the like.
I definitely don't care if there's 1 me, 3^^^3 copies of me, or 3^^^^3, or 3^^^^^^3 , or the actual infinity (as the physics of our universe would suggest), where the copies are what thinks and perceives everything exactly the same over the lifetime. I'm not sure how counting copies as distinct would cope with an infinity of copies anyway. You have a torture of inf persons vs dust specks in inf*3^^^3 persons, then what?
Albeit it would be quite hilarious to see if someone here picks up the idea and starts arguing that because they're 'important', there must be a lot of copies of them in the future, and thus they are rightfully an utility monster.