The top track can be assumed to be of infinite length, but for the bottom track this is not enough - to fit ℵ people on it, they’ll have to be infinitely compressed. And since they are compressed - they are already dead. I’m not pulling the lever - preventing the (farther) desecration of corpses does not merit killing people who are still alive.
As a mathematician, this strikes me as an entirely reasonable interpretation, except for the fact that the compressed bodies would form a black hole, killing everyone regardless.
So you’re correct to say that you wouldn’t pull the lever, but your reasoning still missed an important detail.
The top track can be assumed to be of infinite length, but for the bottom track this is not enough - to fit ℵ people on it, they’ll have to be infinitely compressed. And since they are compressed - they are already dead. I’m not pulling the lever - preventing the (farther) desecration of corpses does not merit killing people who are still alive.
As a mathematician, this strikes me as an entirely reasonable interpretation, except for the fact that the compressed bodies would form a black hole, killing everyone regardless.
So you’re correct to say that you wouldn’t pull the lever, but your reasoning still missed an important detail.
I don’t think a black hole would have time to form before the entire universal collapse, though
that’s infinite mass inside infinite volume right there, we aren’t talking about only infinite density anymore
we need to get a theoretical physicist on this… track