this post was submitted on 27 Feb 2024
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@tedu @science_memes @fossilesque Can we space them out so the frequency is the same? ๐
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.