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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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.
An infinite amount of people on the track implies that the track is infinitely long. If that is not the case and the track is a normal length then the sudden addition of all that bio-mass in a finite space will cause a gravitational collapse. But will the collapse start on the first track or the second? Either way I hope you saved your game because you might lose your progress.
The mass of dead bodies is what replenishes the new living ones on the finite track.
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.
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.
like the infinite monkeys with typewritters, universal limits to the rescue. Trolley's are slow. Each bump makes them slower. Some of the people in the discrete line will have long lives until an excruciatingly painful death from dehydration.
either way infinite people die, just not getting involved
Bottom. Train will stall/derail faster.
What about a time loop where only one person dies, but infinite times?
Hold the lever halfway so the trolley picks both rails at the same time, to ensure highest possible kill comboq
That's effectively just the bottom track, where an uncountable number of people (literally) will die as soon as the train reaches position (0.
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.
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.
I take the square root of all the negative real numbers and kill in an entirely new dimension.
Geez, disconnect the trains so you can hit both lines at the same time, obviously.
I do what I always do: run to the trolley, then jump up and pull the emergency stop because I hate false dilemmas.
Correct, because if we ignore some important facts you could also have infinite time to stop the trolley. Checkmate, false dilemma creators.
It'll make it through maybe 3 infinities before derailing. Go bottom, end it faster.
Multilane drifting!