this post was submitted on 27 Feb 2024
974 points (97.6% liked)

Science Memes

10271 readers
3178 users here now

Welcome to c/science_memes @ Mander.xyz!

A place for majestic STEMLORD peacocking, as well as memes about the realities of working in a lab.

Rules

  1. Don't throw mud. Behave like an intellectual and remember the human.
  2. Keep it rooted (on topic).
  3. No spam.
  4. Infographics welcome, get schooled.

Research Committee

Other Mander Communities

Science and Research

Biology and Life Sciences

Physical Sciences

Humanities and Social Sciences

Practical and Applied Sciences

Memes

Miscellaneous

founded 2 years ago
MODERATORS
[email protected]
[email protected]
[email protected]
974
hmmmm (mander.xyz)
submitted 6 months ago by [email protected] to c/[email protected]
211 comments fedilink hide all child comments
 
you are viewing a single comment's thread
view the rest of the comments
[–] [email protected] 37 points 6 months ago (3 children)

Assuming that it takes some amount of energy to kill one person, and that the trolley doesn't have an engine with infinite power, choosing the bottom track would save lives. The trolley would have to expend an infinite amount of energy to move any distance from the starting point, so it would just get stuck there while trying to crush the unimaginable amount of people bunched up in front of it.

[–] [email protected] 1 points 6 months ago (2 children)

But getting anywhere on the lower track will kill infinitely many people. You cannot kill finitely many people on the lower track. Well, unless you derail at exactly the first. On the upper track, a stop at any point will have killed only finitely many.

[–] [email protected] 1 points 6 months ago (1 children)

One person can only be on the spot for one number. As soon as more than one gets killed, that would mean that the trolley has traversed some distance, which implies that it has killed an infinite number of people. That is impossible in any finite timespan under the aforementioned assumption. Thus the only logical conclusion is that it gets stuck after the first person is killed, at the exact spot the first number is mapped to.

I guess there could also be a different solution when you look at the problem from a different angle. Treating infinity with this little mathematical care tends to cause paradoxes.

[–] [email protected] 1 points 6 months ago

In any non-empty, finite interval on the real number line, there are uncountably infinitely many numbers = people in this thought experiment. If you think of physical space as continuous, we cross infinitely many points in any finite movement.

I'd like to see one of the numerous paradoxes you refer to.