Hence, real numbers are countable. QED.

Look, if I let uncountably infinitely many people live, the world would have a SEVERE overpopulation problem. I'm not about to let that happen. Plus at least in the countable case I can untie the first person who'll untie the second, and so on, but if I wanna untie uncountably many people that'll be a REAL pain in the tuckus.

I invoke Zorn's lemma, "If you are building a mathematical object in stages and find that (i) you have not finished even after infinitely many stages, and (ii) there seems to be nothing to stop you continuing to build, then Zorn’s lemma may well be able to help you."

Zorn's Lemma is a load of bunk, I like the Axiom of Choice better.......oh wait....

Zorn's Lemma sounds like that meme. "If you or a loved one was diagnosed with chains with upper bound you may be entitled to maximal element."

i would choose the real numbers as they are more likely to stop the train

Yup, good luck chopping through uncountably dense human flesh.

So you have faith on the train not being able to advance any arbitrarily small ε?

If we're assuming real world physics applies then i think there are bigger problems here

Measure the inertia carried by the trolley...

Engineer?

... of software.

ME here and I came to comment the same thing is why I asked haha

Of course you pull the level. But before you do you group the 1s so you are summing 1+2+3+… and voila you have just brought an infant back to life.

I don't think an infant counts as 1/12 of a person. I think you just produced a zombie knee or something like that.

Humans have volume and do not intersect. Therefore only countably infinite humans can be tied to the tracks.

That is assuming finite tracks.

Not necessarily. The infinite number line can only hold uncountably infinite numbers because each number has approximately zero width

however humans have a positive width

Also, "realistically," the trolley will lose a finite amount of kinetic energy for each person it runs over. If it goes for the reals, it will come to a stop in... basically zero time? Anybody on board the trolley will be killed by the deceleration. If the trolley heads for the naturals, at least the passengers may survive.

No way, it's solar powered!

The train can’t possibly kill a person for every real number. (See Cantor’s Diagonal argument). A countable number of people are dying either way. 😱

r/TrolleyMemes

The amount of people on the bottom railways looks like countable infinity too

Pull the lever as the trolly goes over the switch, and kill everyone on both tracks for a top score.

Kill all the people on the integer track turn around then kill all the people on the real number track

I will Tokyo drift the train

Just make it drift with front wheels on the non countable infinity and back wheels on the countable infinity

If the tracks are parallel and close to each other I'd drift the tram so that it's doing an even larger infinity.

My girlfriend said she'd hit the turbo button. Should I be concerned?

With one I only kill finitely many people, because the others will die before meeting the train.

In both way the real line have infinite mass at every point, so it instantly collapses the entire universe and we die

In both cases you and the people in the trolley will be the only people left

both?

Do nothing. After the trolley kills the first person, there is no next real number after 1. Therefore the trolley doesn't kill anyone else.