Sorry for the self-reply, but to expand on my point about the difficulty Westerners have talking about certain dimensions of morality, I want to present an illustrative example from a different perspective.
Let's say we're in an alternate world with strong, codified rules about social status and authority, but weak, vague, unspoken norms against harm that nevertheless keep harm at a low level.
Then let's say you present the people of this world with this "dilemma" to make Greene's point:
Say your country is at war with another country that is particularly aggressive and willing to totally demolish your social order and enslave your countrymen. In planning how to best fight off this threat, your President is under a lot of stress. To help him relieve his stress, he orders a citizen, Bob, to be brought before him and tortured and murdered, while the President laughs his head off at the violence.
He feels much more relieved and so is able to craft and motivate a war plan that leads to the unconditional surrender of the enemy. The President promises that this was just a one-time thing he had to do to handle the tremendous pressure he was under to win the war and protect his people. Bob's family, in turn, says that they are honored by the sacrifice Bob has made for his country. Everyone agrees that the President is the legitimate ruler of the country and the Constitution and tradition give him authority to do what he did to Bob.
Was it okay for the President to torture and kill Bob for his personal enjoyment?
Then, because of the deficiency in the vocabulary of "harms", you would get responses like:
"Look, I can't explain why, but obviously, it's wrong to torture and kill someone for enjoyment. No disrespect to the President, of course."
"What? I don't get it. Why would the President order a citizen killed? There would be outrage. He'd feel so much guilt that it wouldn't even relieve the stress you claim it does."
"Yeah, I agree the President has authority to do that, but God, it just burns me up to think about someone getting tortured like that for someone else's enjoyment, even if it is our great President."
Would you draw the same conclusion Greene does about these responses?
Whatever one great principle you think human morality flows from, there will be plenty of cases that violate it. Sure, we have some intuitions about minimizing total harm, but there are plenty of people who would have an instinctive moral aversion to many actions that minimize total harm. Many people are actually opposed to torture.
Joshua Greene has a PhD thesis called The Terrible, Horrible, No Good, Very Bad Truth About Morality and What To Do About It. What is this terrible truth? The essence of this truth is that many, many people (probably most people) believe that their particular moral (and axiological) views on the world are objectively true - for example that anyone who disagrees with the statement "black people have the same value as any other human beings" has committed either an error of logic or has got some empirical fact wrong, in the same way that people who claim that the earth was created 6000 years ago are objectively wrong.
To put it another way, Greene's contention is that our entire way of talking about ethics - the very words that we use - force us into talking complete nonsense (often in a very angry way) about ethics. As a simple example, consider the use of the words in any standard ethical debate - "abortion is murder", "animal suffering is just as bad as human suffering" - these terms seem to refer to objective facts; "abortion is murder" sounds rather like "water is a solvent!". I urge readers of Less Wrong to put in the effort of reading a significant part of Greene's long thesis starting at chapter 3: Moral Psychology and Projective Error, considering the massively important repercussions he claims his ideas could have:
As an accessible entry point, I have decided to summarize what I consider to be Greene's most important points in this post. I hope he doesn't mind - I feel that spreading this message is sufficiently urgent to justify reproducing large chunks of his dissertation - Starting at page 142:
One might well ask: why does any of this indicate that moral propositions have no rational justification? The arguments presented here show fairly conclusively that our moral judgements are instinctive, subconscious, evolved features. Evolution gave them to us. But readers of Eliezer's material on Overcoming Bias will be well aware of the character of evolved solutions: they're guaranteed to be a mess. Why should evolution have happened to have given us exactly those moral instincts that give the same conclusions as would have been produced by (say) great moral principle X? (X = the golden rule, or X = hedonistic utilitarianism, or X = negative utilitarianism, etc).
Expecting evolved moral instincts to conform exactly to some simple unifying principle is like expecting the orbits of the planets to be in the same proportion as the first 9 prime numbers or something. That which is produced by a complex, messy, random process is unlikely to have some low complexity description.
Now I can imagine a "from first principles" argument producing an objective morality that has some simple description - I can imagine starting from only simple facts about agenthood and deriving Kant's Golden Rule as the one objective moral truth. But I cannot seriosuly entertain the prospect of a "from first principles" argument producing the human moral mess. No way. It was this observation that finally convinced me to abandon my various attempts at objective ethics.