this post was submitted on 02 Oct 2025
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Science Memes

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[–] LadyAutumn@lemmy.blahaj.zone 10 points 11 hours ago* (last edited 11 hours ago)

In the top case has it been arbitrarily decided to include space in between the would-be victims? Or is the top a like number line comparison to the bottom? Because if thats the case it becomes relevant if there is one body for every real number unit of distance. (One body at 0.1 meter, and at 0.01 meter, at 0.001, etc)

If so then there's an infinite amount of victims on the first planck length of the bottom track. An infinite number of victims would contain every possible victim. Every single possible person on the first plank length. So on the next planck length would be every possible person again.

Which would mean that the bottom track is actually choosing a universe of perpetual endless suffering and death for every single possible person. The top track would eventually cause infinite suffering but it would take infinite time to get there. The bottom track starts at infinite suffering and extends infinitely in this manner. Every possible version of every possible person dying, forever.

[–] PhAzE@lemmy.ca 1 points 6 hours ago

Geez, disconnect the trains so you can hit both lines at the same time, obviously.

[–] Zerush@lemmy.ml 2 points 8 hours ago

I use the lever to kill the train driver.

[–] ryedaft@sh.itjust.works 1 points 7 hours ago

I reject the premise since there will only ever exist a finite number of people. They will all die. One day the last human will die.

[–] dontbelievethis@sh.itjust.works 7 points 12 hours ago

Bottom. Greater probability that it gets stuck in the corpses.

[–] Matriks404@lemmy.world 5 points 11 hours ago* (last edited 11 hours ago) (4 children)

Imagine being the first one being killed on any of these tracks.

The probability of that is...?

Mathematicians tell me, please, because my mind is breaking.

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[–] trxxruraxvr@lemmy.world 6 points 12 hours ago (3 children)

Doesn't matter, there are not enough people to try this anyway

[–] SpaceNoodle@lemmy.world 7 points 12 hours ago

Not with that attitude

[–] Thedogdrinkscoffee@lemmy.ca 6 points 12 hours ago

Depends on the speed of the trolley.

[–] eleijeep@piefed.social 1 points 8 hours ago

Population expansion is exponential but the tram moves at constant velocity, so by the time it reaches the end of the track of 8bn people there will be an exponentially increasing number of people further down the track.

[–] CommissarVulpin@lemmy.world 4 points 11 hours ago (4 children)

Okay, so what’s the point of “proving” that there some “infinities” are “bigger” than others? What’s the practical application here? Because an infinite hotel with an infinite number of guests is physically impossible, so I don’t see the point.

[–] carmo55@lemmy.zip 5 points 9 hours ago

A practical application is for example in probability theory (or anywhere that deals with measures) such as this question:

If we generate a random real number from 0 to 1, what is the probability that it is rational?

Because we know that the continuum is so much larger in a sense than the set of rationals, we can answer this confidently and say the probability is zero, even though it is theoretically possible for us to get a rational number.

Statistics deals with similar scenarios quite frequently, and without it we wouldn't have the modern scientific method.

[–] NoneOfUrBusiness@fedia.io 4 points 11 hours ago

Practical application in math tends to be like three degrees of separation and half a century removed from the math at play. In this case, all of modern mathematics is based on set theory, so it's more that this stuff allows us to do other, more practically useful math while knowing what we're talking about.

[–] MBM 1 points 9 hours ago

I've never been a fan of just saying "some infinities are bigger than others," to be honest. Way too easy to misunderstand and it's also kind of meaningless by itself.

[–] bstix@feddit.dk 1 points 10 hours ago (1 children)

The real numbers also includes the integers.

The practical consequence of this example is that the integers die regardless of what you choose.

However infinitely many people will survive if you choose the first option.

[–] CommissarVulpin@lemmy.world 0 points 10 hours ago

And yet there can never, and will never, be a situation where an infinite number of people are tied to a railroad track. So this thought experiment is meaningless.

[–] AkatsukiLevi@lemmy.world 3 points 12 hours ago (1 children)

Hold the lever halfway so the trolley picks both rails at the same time, to ensure highest possible kill comboq

[–] davidgro@lemmy.world 2 points 11 hours ago

That's effectively just the bottom track, where an uncountable number of people (literally) will die as soon as the train reaches position (0.

[–] wildncrazyguy138@fedia.io 2 points 11 hours ago

Like everything else in this holographic universe we live in, I’d just close my eyes and believe the bodies I’m trampling are imaginary.

[–] zqwzzle@lemmy.ca 1 points 10 hours ago

I take the square root of all the negative real numbers and kill in an entirely new dimension.

[–] TomMasz@piefed.social 2 points 11 hours ago

I remember seeing a science show on PBS where the presenter explained how there are different infinities by using set theory and the integers/reals. That was mind-blowing at the time.

[–] bizarroland@lemmy.world 1 points 10 hours ago

I would pull the lever and then steal a bus and knock the trolley off of the track, killing the least amount of people possible.

sort them so you kill one person first, then 2, then 3, then 4...

[–] halvar@lemy.lol 1 points 11 hours ago

there are more real numbers than integers though

[–] kometes@lemmy.world 1 points 12 hours ago (1 children)
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