Each of the ten million densely populated planets in Empress Alice’s vast intergalactic empire has an average of one person on death row who has exhausted all appeals. Empress Alice’s justice system is a really good one, but she knows it to be fallible like all justice systems, and her statistics show there is one in a million chance that someone sentenced to death who exhausted all appeals is nonetheless innocent. So Alice knows that of the hundred million people on death row, at least one is innocent (assuming independence, the probability that all are guilty is 0.99999910000000 = 0.000045). (If we think, as I do, that under ordinary circumstances the death penalty is unjustified, we may suppose that the empire is suffering from extraordinary circumstances such that roughly one case per planet of the death penalty is justified.)
Every year, there is a Day of Justice. On that day, the Empress issues the order that all who are on death row and have exhausted appeals are to be executed.
So, the Empress intentionally kills a million people. That by itself sounds terrible, but we have to remember that she has ten million planets each with billions of people in her empire. Alice is a morally sensitive person, and she is weighed down by unspeakable grief over what justice requires of her, but being an Empress she must do justice.
But what is worse, the Empress knows that at least one (and probably a couple more) of the million people she intentionally kills is innocent. And yet it seems wrong to intentionally kill those who are innocent.
Now, it seems that I’ve just committed a serious slip in reasoning. I’ve moved from the claim that Alice intentionally kills the million people to the claim that each was intentionally killed. Let’s say that Bob is one of the handful of innocents. Then Alice does not intentionally kill Bob, because she does not know anything about Bob specifically. Well, but that can be remedied. We may suppose that for a month prior to Justice Day, the Empress spends all her waking hours looking at the photo of every person she is to have executed, and praying a quick and specific prayer for them. At some point in the month, she did look at Bob’s photo and prayed: “God, have mercy on Bob and give comfort to his victims and his family.” We may even suppose that Alice has a photographic memory and when she issued her order, she saw all million people before her mind’s eye. That shouldn’t make any moral difference to the justification of the executions, though it adds to Alice’s imperial burden.
Perhaps the thing to say is this: Alice did a wrong unknowingly. A few of the people she had executed should not have been executed, but since she did not know who they were, she did not do wrong in intentionally killing them. But the worrying thing is that Alice also did know that she was doing a wrong. She knew that one of the people was innocent.
But maybe here I am sliding back and forth between two actions: the overarching “Execute them all” action, and the specific actions of killing Bob, Carl, and all the other people whose faces bring tears to the tips of Alice’s tentacles. The overarching action is not wrong, but it is known to include a wrong component. The specific actions include some that are wrong, but they are not known to be such.
But we (and Alice) are not home free yet. For Alice’s overarching action clearly is an action that she foresees to result in the deaths of innocents. Thus, its justification requires something like the Principle of Double Effect. Now one of the conditions in the Principle of Double Effect is that none of the means be evil. But killing Bob (and Carl and all the others) is indeed a means to executing “all who have been sentenced to death and have exhausted their appeals”. So among the means, there are some that are bad. And the Empress knows this. She just doesn’t know which ones.
Can we get Alice off the hook by saying that she is intending only the deaths of the guilty? But how is she planning to kill the guilty, if not by means of “executing them all”? And she who intends the end intends the means, so if she intends to kill the guilty by “executing them all”, she must be intending to execute them all.
This seems to be a serious problem for Double Effect.
One possible solution is this. Alice really is only intending the deaths of the guilty. And the means that she intends to this end are: Kill the guilty Bob, kill the guilty Carl, and so on for about a million others. Each of these means is legitimate. But she also knows that some of the means will fail. For since Bob is not guilty, killing the guilty Bob will fail. It is weird to have an action that is overall successful but some of the means to which fail. But that can still happen: think of cases where there is a multiply redundant safety procedure, which is overall successful even though some of the means in it fail.