I would argue that one extra point of interest would be the definition of the crimes that are considered worthy of capital punishment. I think people could fal

I would argue that one extra point of interest would be the definition of the crimes that are considered worthy of capital punishment. I think people could fall into a spectrum between the axiomatic views you present depending on what is considered a capital offense. For example I might be in favor of capital punishment but only in cases of war crimes. In that case, for almost all intents and purposes I'm against death penalty since I only approve of it in extreme cases, versus someone that is in favor of death penalty for rapists (assuming there is no uncertainty like in your example), since I could indeed imagine a rape victim that would like to have the rapist dead. So I agree that if you have an axiomatic view as you put it, the rest of the (non-axiomatic) factors will not be of relevance to you, but then the problem becomes defining on which side of the slide do you consider your view to be axiomatic. My point is that this almost seems as a sort of "fractal" discussion in the sense that you can always think of yet another factor that would establish different positions for two people although they might seemingly have the "same" axiomatic view, and that makes it very hard to discuss this subject without polarizing people.