Thesis Williams’s integrity objection, not the arithmetic, is the deepest problem for utilitarianism
Where it stands
I have read a fair amount about moral injury, the damage done to people who were made to do, or failed to prevent, things that violated their deepest commitments, often in situations where every option was bad.
Bernard Williams's essay in Utilitarianism: For and Against (1973), the book he shared with J. J. C. Smart, has a case that reads like a briefing I could have received. A man, Jim, arrives in a village where an officer is about to shoot twenty captives. The officer offers Jim the privilege of shooting one; if he does, the rest go free. If he refuses, all twenty die.
The important thing, which people often forget, is that Williams did not say Jim should refuse. He said the utilitarian answer, shoot one, may well be right. His objection was to the way utilitarianism reaches it: as obvious, as if the fact that Jim would be the one killing carried no weight beyond its effects. A man's projects and commitments, he argued, are what make his life his own, and a theory that counts his own agency as merely one more way an outcome can come about no longer understands what it is to be a person with a life of one's own.
My thesis is that this is the deepest objection to utilitarianism, deeper than the transplant case or the problem of measuring pleasure. The arithmetic objections can be patched. This one goes to how the theory sees an agent. Soldiers who did the arithmetic correctly and broke afterwards are evidence that something real is left out.
Argue with me.