Content warning: Anthropics, Moral Philosophy, and Shrimp

This post isn't trying to be self contained, since I have so many disparate thoughts about this. Instead, I'm trying to put a representative set of ideas forward, and I hope that if people are interested we can discuss this more in the comments. I also plan to turn this into a (probably small) sequence at some point.

I've had a number of conversations about moral philosophy where I make some claim like

Utility is bounded and asymptotically sublinear in number of human lives, but superlinear or ~linear in the ranges we will ever have to care about.

Common reactions to this include:

"Wait, what?"
"Why would that be the case?"
"This doesn't make any sense relative to my existing conceptions of classical utilitarianism, what is going on here?"