I agree, although I’m not sure Joe himself invokes cardinals; relevant quote from the post (I think?):
imagining worlds with a “strongly Ramsey” number of people seems likely to be a total non-starter, even if one knew what “strongly Ramsey” meant, which I don’t. Still, it seems like the infinite fanatic should be freaking out (drooling?). After all, what’s the use obsessing about the smallest possible infinities?
While cardinals might not make sense here, I strongly agree with Joe that we might need to care a lot about really big infinities. If we call the utility of a finite-size positive-value system that exists forever x utility, we can imagine x2 or x3 without too much trouble (infinite copies, or infinite value per copy per finite-time-unit, or both), and this has implications for our decisions.
I agree, although I’m not sure Joe himself invokes cardinals; relevant quote from the post (I think?):
While cardinals might not make sense here, I strongly agree with Joe that we might need to care a lot about really big infinities. If we call the utility of a finite-size positive-value system that exists forever x utility, we can imagine x2 or x3 without too much trouble (infinite copies, or infinite value per copy per finite-time-unit, or both), and this has implications for our decisions.