Intuitively speaking broken arm and broken toe are comparable. Broken arm is worse, broken toe is still bad. I'd rather get a broken arm than torture for 50 years, or even torture for 1 day.
For sliding scale of severities: there's a very difficult to compute but intuitively satisfying emphasis that can be imposed so the scale can't slide. It's the idea of "bouncing back". If you can't bounce back from an action that imparts negative utility, it forms a distinct class of utilities. Compare broken arm with torn-off toe. Co...
Broken arms vs toes: I agree that any number of broken toes wouldn't be better than a broken arm. But that's the point, these are _comparable_.
Incomparable breaks occur where you put the ellipses in your list. Torture for 40-50 years vs torture for 1 day is qualitatively distinct. I imagine a human being can bounce back from torture for 1 day, have scars but manage to prosper. That would be hellishly more difficult with torture for 40 years. We could count torture by day, 1-(365*40) and there would be a point of no return there. A duration of tor... (read more)