This is a really interesting point! If the universe is big enough that any concievable computer program exists somewhere, and all conscious experience can be represented as a classical computer program, then yes, under what I’m calling the “Ignore Copies” view, nothing would matter. Nick Bostrom makes this point in the “Quantity of experience” paper I referenced (I think it’s an important reason why he doesn’t like the “Ignore Copies” view).
But I don’t think MWI on its own necessarily predicts that the universe is this big. In fact, I’m fairly sure that it doesn’t (why would it? Edit: Now think Donald is right here and I was wrong) So I think in principle someone could accept both Ignore-Copies and MWI without being committed to the view that nothing matters.
In any case, I think this point is essentially independent of the point I’m trying to make in this post, which is just that there is a tension between the logic underpinning the “Ignore Copies” ethical view, and the supposed origin of probabilities in MWI.
That’s a very strong argument, thanks! You’ve changed my mind! I hadn’t appreciated how big the multiverse in MWI could be, but that’s a good way to think about it.
In terms of what impact this has on my arguments here, I still think it doesn’t affect them, except that I now hope that Ignore-Copies and MWI are not both true at the same time. So in that sense I guess it’s a good thing that they seem to be in conflict with one another!
The mangled worlds hypothesis is also extremely interesting! I hadn’t come across it before, but as derivations of the Born rule go, this reads as the closest thing I’ve seen to the possible approach I was trying to describe at the end of my conclusion, where I speculated on what a derivation of the Born rule that did not clash with Ignore-Copies might look like. I’ll have to go and read Hanson’s papers on that. Thanks again! (may update the post to reference this)
(And if the mangled worlds derivation did turn out to be a way to reconcile Ignore-Copies with MWI, it’s also nice you think it might change the conclusion on nothing mattering as well, so that we still wouldn’t be forced to conclude that!)