@tedu @science_memes@mander.xyz @fossilesque@mander.xyz Can we space them out so the frequency is the same? ๐
this post was submitted on 27 Feb 2024
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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.
Pull the switch as the trolley is on that rail so it gets stuck and the trolley kills nobody
Yes. Right under trolley. Will derail it.
Multi-track drifting. Also while some infinities are smaller if you're just counting out an infinite number of individual humans then I'm pretty sure they're the same size infinities one is just social distancing. Smaller infinities are ones like those in between each part of the bigger infinities. To represent a smaller infinity you'd maybe have to have an infinite number of smaller humans crammed into a spot the size of one of the spaces between the humans on the other track, or something along those lines. The real number track does contain smaller infinities between each integer via infinite decimal points but I don't think one track would technically be smaller than the other in this case since they run parallel to each other but neither are technically limited in the "length" of their infinity so to speak. But I could be misremembering how they classify smaller infinities.
Do we know if there's a track with a number of people tied down strictly in between the numbers of the two tracks?