Continuing my quest to untangle people's confusions about Eliezer's metaethics... I've started to wonder if maybe some people have the intuition that the orthogonality thesis is at odds with moral realism.
I personally have a very hard time seeing why anyone would think that, perhaps in part because of my experience in philosophy of religion. Theistic apologists would love to be able to say, "moral realism, therefore a sufficiently intelligent being would also be good." It would help patch some obvious holes in their arguments and help them respond to things like Stephen Law's Evil God Challenge. But they mostly don't even try to argue that, for whatever reason.
You did see philosophers claiming things like that back in the bad old days before Kant, which raises the question of what's changed. I suspect the reason is fairly mundane, though: before Kant (roughly), it was not only dangerous to be an atheist, it was dangerous to question that the existence of God could be proven through reason (because it would get you suspected of being an atheist). It was even dangerous to advocated philosophical views that might possibly undermine the standard arguments for the existence of God. That guaranteed that philosophers could used whatever half-baked premises they wanted in constructing arguments for the existence of God, and have little fear of being contradicted.
Besides, even if you think an all-knowing would also necessarily be perfectly good, it still seems perfectly possible to have an otherwise all-knowing being with a horrible blind spot regarding morality.
On the other hand, in the comments of a post on the orthogonality thesis, Stuart Armstrong mentions that:
I've read the various papers [by people who reject the orthogonality thesis], and they all orbit around an implicit and often unstated moral realism. I've also debated philosophers on this, and the same issue rears its head - I can counter their arguments, but their opinions don't shift. There is an implicit moral realism that does not make any sense to me, and the more I analyse it, the less sense it makes, and the less convincing it becomes. Every time a philosopher has encouraged me to read a particular work, it's made me find their moral realism less likely, because the arguments are always weak.
This is not super-enlightening, partly because Stuart is talking about people whose views he admits he doesn't understand... but on the other hand, maybe Stuart agrees that there is some kind of conflict there, since he seems to imply that he himself rejects moral realism.
I realize I'm struggling a bit to guess what people could be thinking here, but I suspect some people are thinking it, so... anyone?
I have no problem with Godel-incompleteness, uncomputability, and so on in a system that allows you to state any moral proposition.
However: if a moral realist believes that "moral claims are fact claims possessing truth values", then what does he belief regarding the proposition (1) "there exists at least one moral claim that can be proven true or false"? (Leaving aside claims that simply induce contradictions, are not well defined, etc.)
If he thinks such a claim exists, that is the same as saying there is a Universally Compelling Argument for or against that claim. And that is a logical impossibility. I can always construct a mind that is immune to any particular argument.
If he thinks no such claims exist, then it seems to be a kind of dualism - postulating a property "truth" of moral claims, which is not causally entangled with the physical world. It also seems pointless - why care about it if no actual mind can ever discover such truths?
ETA: talking about 'proving' claims true or false is a simplification. In reality we have degrees of beliefs in the truth-value of claims. But my point is that moral-realistic claims seem to be disengaged from reality; substitute "provide evidence for" in place of "prove" and my argument should still work.