@tedu @science_memes @fossilesque Can we space them out so the frequency is the same? ๐
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Was this an honest question? Because the answer is 'no'. You can't space them out or else the set of people on the lower track would be countable which is a smaller infinity than the ones of the real numbers.
To space them, you would have to take people of the track. Infinitely many. To be precise not all of them but as many as there are on the track.
@EunieIsTheBus @science_memes It was half joke, half paradox. ๐
If you kill two sets at the same rate, but one set is smaller, is it less bad?
The set with one person for every real number, they're neither spaced nor adjacent. It's kind of a Zeno's paradox scenario: no person can ever be first, next, or last. So I think if we can set the rate of killing the same, I'll choose the real numbers track in hopes that the trolley can't ever begin. If we set the rate at speed down the track, it's gotta be the integers.
I actually would like to choose the track where the number of people increases by one (so 1, 2, 3, 4...) and then the train will kill -1/12 people
PS Yes, I know this sum result is problematic, it's only a joke
I pull the lever and invoke Zeno's paradox to ensure the trolley's position remains < 1 for eternity.
I quickly carry the people to the other side so they all can get run over.
As an Engineer with a Physics background I say the most ethical choice is the real numbers side as the tram, having no room to accelerate between victims, will quickly stop, whilst it's more likely it can keep going for ever on the integer branch of the line.
A more effective vehicle for this would be a tank or maybe a steamroller.
(Note to self: keep this in mind if I ever become an Evil Overlord and need to execute large numbers of people in a gruesome manner)
Probably pull the leaver cuz then I can jump in front of the train.
This is a complex problem, hence I pull an imaginary lever and divert the trolley onto the imaginary number line to kill infinite imaginary people. No one cares because they're imaginary
I'll do nothing. Either way those people will eventually die - because of the train or because of starvation and dehydration. I would prefer the train.
Infinity people always die. Even if you don't make a decision.
I come to an agreement with the person who has tied these people to the tracks to untie every 2nd person. I save an infinite number of people!
And if you convince the now untied individuals to each untie two people, you can now save multiple sets of infinite numbers of people!
I tried to do a similar deal and ended up with negative one twelfth of a person dead.
Jump in front of the trolley, someone else's problem
Since there's an infinite number of people to kill in either case I can just do nothing, and thus by inaction most of those infinite people will have more than enough time for someone else to rescue them. Maybe the State, that's what they're there for.
I am sure even countably infinite people would violate some law of thermodynamics.
If you subscribe to the idea that the universe is infinite, there are possibly infinite people in it.
I want to unsubscribe, where do I click
The top track can be assumed to be of infinite length, but for the bottom track this is not enough - to fit โต 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