The most pressing problem facing utilitarians has never been choosing between principled vs. consequentialist utilitarianism. It's how to take a vector of utilities, and turn it into a single utility. What function do I use? Do I sum them, is it the mean, how about root-mean-squared? Why does your chosen function make more sense than the other options? Can I perform arithmetic on utilities from two different agents,…
Traditionally you use sum, which gets you total utilitarianism. Some have advocated avg which gets you average utilitarianism. https://en.wikipedia.org/wiki/Average_and_total_utilitariani...
> root-mean-squared
Why?
> Can I perform arithmetic on utilities from two different agents?
This is called "interpersonal utility comparison", and there's a ton of literature on it. Traditionally utilitarians have accepted it, and without it ideas like "sum the utility across everyone" don't make sense.