Refusing to Count Lives Is Also a Way of Counting Them

There is a moment in almost every serious argument about policy when someone puts a number on human lives, and someone else recoils. Cost per life saved. Expected deaths under plan A against plan B. Years of life lost per dollar not spent. The recoil is instinctive and it is treated as a moral achievement: you cannot put a price on a human life. The person who does the arithmetic is the cold one, and the person who refuses is the humane one.

I want to argue that this is exactly backwards. At the strategic level, every decision is a decision about expected lives, and the only choice you have is whether to make it with your eyes open.

The Decision Is Made Either Way

Consider a health ministry with a fixed budget. It can fund a screening programme, or a vaccination drive, or more ambulances, or some mix. Each option saves some number of lives, with some uncertainty. The budget is not large enough for all of them.

Whatever the ministry does, some people will die who would have lived under a different allocation. That is not a consequence of counting; it is a consequence of the budget being finite and the population being large. The deaths happen whether or not anyone writes them down.

So the question is not whether lives will be traded against lives. They will. The question is whether the trade is made by someone who has estimated the numbers, or by someone who has refused to and is therefore trading blind.

Refusing to count does not save anyone. It only guarantees that you do not know whom you killed.

Why the Recoil Feels Moral

The instinct comes from the scale we evolved at. In a band of a hundred people, you never face a decision that kills two strangers to save three. You face a decision about this person, whom you know, and the right response is to treat them as beyond price. An instinct that refuses to weigh one known person against another is a good instinct for that world.

It is a catastrophic instinct for a ministry, an army, or a legislature, because at that scale you are never deciding about a person. You are deciding about a distribution. And a distribution has no face to recoil from, so the instinct simply does not fire, and the absence of the recoil is then experienced as the absence of a moral question. The road-safety budget gets set without anyone feeling that lives are on the table, and lives are on the table.

The person who counts is doing the uncomfortable thing: forcing the faceless decision to show its cost. The person who refuses is doing the comfortable thing and calling it humane.

Mathematics as the Instrument of Seeing

Here is what I mean by mathematics as a way of seeing the world, rather than a way of calculating in it.

Without arithmetic you can see a single death vividly and ten thousand deaths not at all. The famous line about one death being a tragedy and a million a statistic is usually quoted as a cynicism. It is better read as a description of a perceptual defect. We are built to see the one and blind to the million, and the only corrective lens anyone has ever built for that defect is a number.

Expected value, in particular, is the tool that lets you see something that does not yet exist and may never exist: the deaths that a policy will probably cause, weighted by how probable they are. No story can show you that. A story shows you one outcome, chosen for effect. The expectation shows you all of them, weighted honestly, and it is the only form in which a strategic decision can be looked at whole.

The Objections That Are Real

Two objections deserve an answer, because the argument is frequently abused.

The numbers are uncertain. They are, sometimes wildly. But uncertainty is an argument for wide error bars, not for no estimate. A decision made with a bad estimate can be corrected when the estimate improves. A decision made with no estimate has nothing to correct against. And notice that the refusal to estimate does not remove the uncertainty; it hides it, which is worse.

Counting flattens what matters. A life of a child and a life of a ninety-year-old are not the same in most people's intuitions, and a death that could have been prevented feels different from one that could not. All true, and all of it can be put into the arithmetic: years of life, quality, preventability. The people who built these measures did so precisely because the flat count was too crude. The choice is not between counting and not counting. It is between counting carelessly and counting well.

What Is Actually Being Protected

When someone refuses the arithmetic in a strategic argument, ask what the refusal protects. It rarely protects the people who will die. They are not in the room and are not helped by anyone's squeamishness.

It protects the decider. It lets the person allocating the budget avoid the sentence I chose the option that kills more people because it was politically easier, by never forming the sentence at all. It protects a self-image at the cost of an outcome. That is the opposite of humane, and it should be called what it is.

The humane position is the one that can bear to look. Put the number on the table, argue about the number, improve the number. The alternative is not a world without the trade-off. It is the same trade-off, made in the dark, by people who have arranged never to learn what it cost.