If I take that literally, then moral realism would hold the correct answer, as everything regarding morality concerns empirical fact (As the article you link to tried to explain).
That makes no sense to me. How is it different from saying nothing at all is subjective? This seems to just ignore the definition of "subjective", which is "an attribute of a person, such that you don't know that attribute's value without knowing who the person is". Or, more simply, a "subjective X" is a function from a person to X.
All this is disregarding the empirical question of to what extend our preferences actually overlap - and to what extend we value each other's utility functions an sich. If the overlap/altruism is large enough, we could still end up with de facto objective morality, depending. Has Eliezer ever tried answering this? Would be interesting.
I believe that's where the whole CEV story comes into play. That is, Eliezer believes or believed that while today the shared preferences of all humans form a tiny, mostly useless set - we can't even agree on which of us should be killed! - that something useful and coherent could be "extrapolated" from them. However, as far as I know, he never gave an actual argument for why such a thing could be extrapolated, or why all humans could agree on an extrapolation procedure, and I don't believe it myself.
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I don't think these two are really different. An "opinion", a "belief", and a "preference" are fundamentally similar; the word used indicates how attached the person is to that state, and how malleable it appears to be. There exist different underlying mechanisms, but these words don't clearly differentiate between them, they don't cut reality at its joints.
How is that different from beliefs or normative statements about the world, which depend on what opinions an individual holds? "Holding an opinion" seems to cash out in either believing something, or having a preference for something, or advocating some action, or making a statement of group allegiance ("my sports team is the best, but that's just my opinion").
Maybe you use the phrase "just an opinion" to signal something people don't actually care about, or don't really believe in, just say but never act on, change far too easily, etc.. That's true of a lot of opinions that people hold. But it's also true of a lot of morals.
You can always make a science of other people's subjective attributes. You can make a science of people's "just an" opinions, and it's been done - about as well as making a science of morality.
I'm still not certain if I managed to get what I think is the issue across. To clarify, here's an example of the failure mode I often encounter:
Philosopher: Morality is subjective, because it depends on individual preferences.
Sophronius: Sure, but it's objective in the sense that those preferences are material facts of the world which can be analyzed objectively like any other part of the universe.
Philosopher: But that does not get us a universal system of morality, because preferences still differ.
Sophronius: But if someone in cambodia gets acid thrown in her face by her husband, that's wrong, right?
Philosopher: No, we cannot criticize other cultures, because morality is subjective.
The mistake that the Philosopher makes here is conflating two different uses of subjectivity: He is switching between there being no universal system of morality in practice ("morality is subjective") and it not being possible to make moral claims in principle ("Morality is subjective"). We agree that Morality is subjective in the sense that moral preferences differ, but that should not preclude you from making object-level moral judgements (which are objectively true or false).
I think it's actually very similar to the error people make when it comes to discussing "free will". Someone argues that there is no (magical non-deterministic) free will, and then concludes from that that we can't punish criminals because they have no free will (in the sense of their preferences affecting their actions).