I think it's past time for another Stupid Questions thread, so here we go.
This thread is for asking any questions that might seem obvious, tangential, silly or what-have-you. Please respect people trying to fix any ignorance they might have, rather than mocking that ignorance.
Hi everyone, I have a question related to the possibility that we live in an infinite universe, and the ethical implications that follow. I've been thinking about this a lot lately, and I've looked over Nick Bostrom's paper on infinite ethics which, if I understand it correctly, suggests that in an infinite universe containing infinite positive value (good) and infinite negative value (evil), it appears to be the case that nothing we do can ever really matter ethically because all we can do is a finite amount of good or evil (which has no impact on an infinite value).
But I have seen discussions of multiverse ethics on Less Wrong where commenters are seemingly talking as if they are able to act in an ethically meaningful way in an infinite cosmos, talking about something referred to as their "measure", and of increasing their measure. I'm afraid I do not understand at all what they are talking about.
Can someone please explain in layman's terms what this sort of talk is all about (sometimes the discourse at Less Wrong is over my head, so as simply and clearly as possible please!). What is "your measure" and how can it be that it matters if the amount of positive value and negative value in the universe is infinite? Sorry if I am misunderstanding something basic and this question is stupid. Thanks!
In math, "measure" is a way of assigning a "volume" (or length, area, probability) to infinite sets. The "cardinality" of the set of numbers between 0 and 1 is the same infinity as that of the set of numbers between 0 and 2, but the standard "measure" of the latter set is twice as big. You can sum up certain types of functions defined on a continuum by "integrating" those functions values using the appropriate measure.
If there turns out to be a continuum of possible universes created by, say, a particle d... (read more)