During a recent discussion with komponisto about why my fellow LWers are so interested in the Amanda Knox case, his answers made me realize that I had been asking the wrong question. After all, feeling interest or even outrage after seeing a possible case of injustice seems quite natural, so perhaps a better question to ask is why am I so uninterested in the case.
Reflecting upon that, it appears that I've been doing something like Eliezer's "Shut Up and Multiply", except in reverse. Both of us noticed the obvious craziness of scope insensitivity and tried to make our emotions work more rationally. But whereas he decided to multiply his concern for individuals human beings by the population size to an enormous concern for humanity as a whole, I did the opposite. I noticed that my concern for humanity is limited, and therefore decided that it's crazy to care much about random individuals that I happen to come across. (Although I probably haven't consciously thought about it in this way until now.)
The weird thing is that both of these emotional self-modification strategies seem to have worked, at least to a great extent. Eliezer has devoted his life to improving the lot of humanity, and I've managed to pass up news and discussions about Amanda Knox without a second thought. It can't be the case that both of these ways to change how our emotions work are the right thing to do, but the apparent symmetry between them seems hard to break.
What ethical principles can we use to decide between "Shut Up and Multiply" and "Shut Up and Divide"? Why should we derive our values from our native emotional responses to seeing individual suffering, and not from the equally human paucity of response at seeing large portions of humanity suffer in aggregate? Or should we just keep our scope insensitivity, like our boredom?
And an interesting meta-question arises here as well: how much of what we think our values are, is actually the result of not thinking things through, and not realizing the implications and symmetries that exist? And if many of our values are just the result of cognitive errors or limitations, have we lived with them long enough that they've become an essential part of us?
Personally, I think the correct thing to do is to recognize that a simple abstraction like "number of people involved" isn't the only thing that is relevant to deciding whether a course of action is appropriate.
Note that the behavior consequences of "shut up and multiply" and "shut up and divide" are largely the same in this particular case... both argue that one should ignore Amanda's situation because she's only one person and based on raw numbers she (as well as you, and I, and pretty much every individual person on the planet) don't really matter relative to the rest of the world in aggregate.
The big behavioral consequence of the two paths (multiplication versus division) seems to be the distinction between taking one's personal selfishness (say, the objective fact that you'd cry more if a fingernail were ripped off than if you heard of the death of 1000 strangers on the far side of the planet) to mean that you really would or should choose to preserve your fingernail over the people, if the choice was somehow actually presented to you in reality. That is, the theories have different consequences only in one's behavioral orientation towards "the big picture".
If this distinction is the case, then maybe it makes more sense to limit yourself to thinking about the right thing to do for big picture questions? (Note that if you were going to truly apply a the division principle across all human circumstances this would apply to yourself just as much as Amanda... and I'm not sure if you're also advocating self-disregard or not.)
In the meantime, I personally think that it is important to pay attention to more than the number of people involved. In my case, I pay a lot of attention to my "responsibility" in terms of my actual literal ability to respond. This causes me to focus on my degree of knowledge and proximity to other people (or groups of people) when I try to decide if I can effectively improve a situation.
Assuming basically competent adults are involved, other adults can probably take care of themselves better than other people can take care of them, and if their self-help abilities are limited they may still think of attempts to help more as "meddling interference". The utility of assistance will thus be reduced by the transaction costs imposed by attempts to coordinate with the person or people being helped. If they're hostile and resistive to help, it may tragically be a case where leaving them to their own unfortunate circumstances is the best way to achieve good in the world. If they're falsely signaling greater need than they actually experience, that's also something I don't want to support.
In the meantime, if you've developed a good set of cooperative understandings with other people it can make more sense for you to continue to cooperate with those people even in the presence of more needy third parties, just because you don't know much about them and don't have cooperation protocols worked out.
When I saw komponisto's initial post about Amanda Knox I did stop and think about it for a while. My first impression based on 10 minutes of reading was that a miscarriage of justice was probably happening based on prosecutorial and investigative confirmation biases compounded by subsequent public commitment and unwillingness to lose political credibility. I estimated something like a 20% chance that she'd committed the crime (though obviously she was formally "guilty" because notionally legitimate legal forms had been followed to apply a legal status of "guilty" to Amanda).
The reason I worried about it in the first place was possibility that I'd someday be trapped in a foreign country, not having committed a crime, but subject to a crazy and xenophobic justice system, and I would be relying on moral compatriots to intervene on my behalf. The thing that prevented me from either posting my estimates in that thread or becoming politically involved in Amanda's actual case was the recognition that there were other people already in a better position to do the right thing than myself.
While that might be a defensible reason for not getting "involved", I'm curious about why it prevented you from merely posting your estimates in the survey.