i tend to disagree w critiques of utilitarianism that take the form "no use a different function than the sum"
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like, i think the function that comes closest is probably something like the sum. but it isn't a function
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Replying to @VesselOfSpirit @ProofOfLogic
Sum isn't close, because sum is unbounded, and thus expected value can be undefined.
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Replying to @VesselOfSpirit @ProofOfLogic
What? I would say use f∘sum, where f:ℝ→[0,1] is monotonic, but it doesn't sound like you're describing that.
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Replying to @ModelOfTheory @ProofOfLogic
well how are we defining what's one thing to sum over. if one thing is "finite fraction of available measure"
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then there are finitely many things. even if in some other sense there are infinitely many
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like are me and my clone one thing or are we two things. and so on
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i don't really understand these issues but they intuitively feel orthogonal to whether sum is a good function
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which i guess you agree with because you suggest separating it into a sum and a transformation to unit interval
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Still not sure what you mean. Twitter is probably not the best platform to continue this conversation.
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