Thesis Doing harm and allowing harm differ morally, even when the outcome is the same
Where it stands
At the hospital where I work, the distinction between doing and allowing comes up every week. Withdrawing a ventilator from a patient with no prospect of recovery is treated very differently from giving a lethal injection, by law, by most religious authorities, and by most of the doctors I know. The patient dies in both cases.
The thesis I want to defend: the difference is real and morally significant. It is not just a legal convenience.
The argument in brief. When I do harm, I introduce a threat into someone's life that wasn't there; I make myself the cause of their loss. When I allow harm, the threat comes from elsewhere (the disease, the water, the other person), and my failure is a failure to help. Both can be serious. Walking past a drowning child you could easily save is monstrous, as Singer's famous example shows. But it's monstrous in a different way from holding the child under.
I know the strongest objection: James Rachels's bathtub case: Smith and Jones each stand to inherit if a young cousin dies. Smith drowns his cousin in the bath; Jones finds his cousin already slipping under and simply watches him drown. Most people judge them equally bad, which suggests the difference does no work when motives and outcomes are held fixed.
I think Rachels shows something important but not what he claims. Over to you.