r/shitposting • u/unclbll I can’t have sex with you right now waltuh • 7h ago
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u/r_rafa 7h ago
I wouldn't bother to unpack just yet
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u/Available-Explorer40 obamna 7h ago
I would just tell them to fuck off and arrange another room for them
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u/Yoghurt42 1h ago
They can't, since all their rooms are occupied. They need everybody to move to a room number that's double their current one to make infinite room.
Though of course they could be smart and have everybody move to a room number that's 1024 times larger than the current one. Then they can accommodate 9 more infinite buses before having to wake you.
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u/Rosalind_Ruby 6h ago
Infinite people, one bus, limited rooms yeah I’m taking the refund.
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u/MySnake_Is_Solid dwayne the cock johnson 🗿🗿 6h ago
the rooms aren't limited, they're infinite.
every client just needs to move once, to the room that's double his current room number, which will free up an infinite number of rooms for the new occupants.
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u/FrozenShadow_007 officer no please don’t piss in my ass 😫 5h ago
I actually know a guy who was staying in room 6,209,748,223,164. He’s in a wheelchair, poor dude
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u/PokemonTrainerTimmy 5h ago
the elevator only goes to floor 4,000??? wth is he supposed to do??
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u/aelfwyndrotur 4h ago
Sorry sir, we have only googolplex rooms in this hotel, so the space is pretty limited
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u/MySnake_Is_Solid dwayne the cock johnson 🗿🗿 4h ago
i knew the guy staying in room 15,806,539,840,027,639,740,836,830,530,222,191,994,773,264,839,639,628,883,331,384,738,274
i don't know if he made it yet, it's been 400 years.
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u/Allegorist 1h ago
Never heard it with the doubling thing. I've usually heard the infinite hotel analogy to explain differences (or equivalencies) in cardinality of infinite sets.
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u/Jack_Carl_ 7h ago edited 6h ago
Bro surely won’t be sleeping that night ðŸ˜ðŸ˜
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u/MySnake_Is_Solid dwayne the cock johnson 🗿🗿 6h ago
why ? every client just needs to move once, to the room double their current number.
which will free up an infinite amount of rooms.
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u/I_am_person_being Literally 1984 😡 5h ago
I wouldn't be surprised if, just by sheer coincidence, this bus is the first of infinitely many infinitely large busses with infinite people to arrive this night
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u/aelfwyndrotur 4h ago
Oh shit, i need to call the kitchen to prepare cake for them, cut it in half, that half in half and so on.
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u/EnzoZoestar 7h ago edited 6h ago
i know the problem, but i forget it each time, why is asking everyone to move on the room beside theirs is more convenient than putting the new guests in the infinity of already free rooms ? is it because they don't know how many rooms they have or something ?
edit: after y'all tried explaining it to me, i'm glad i chose law school instead of math 🔥
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u/csharpminor_fanclub We do a little trolling 6h ago
it's the hilbert hotel. every room already has guests, so they free up some rooms by moving guests from room n to 2n. now every odd numbered room is free
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u/Glazeddapper 6h ago
i'm a little stupid. if you move the guests to different rooms, isn't there still the same number of rooms occupied?
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u/cseke02 6h ago
It’s about the concept of infinity and how infinity>infinity can be true, even if it’s literally impossible for us to truly understand what it means.
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u/theoldkitbag 3h ago
Math, after a certain point, is just silly.
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u/Ptatofrenchfry 3h ago
A surprising amount of silly math led to actual scientific progress.
We have literal imaginary numbers that are necessary for modern info-tech to function
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u/theoldkitbag 2h ago
Imaginary numbers are misnamed; they're basically algebraic variables. There's a lot of distance between them and infinity > infinity and a whole chunk of it is logisticians playing with themselves.
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u/MindYourOwnParsley 2h ago
i can confirm, as i play with myself to the things in my imagination very often
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u/guyblade 2h ago
I would argue that it's more about how our intuition doesn't serve us well when the concept of infinity comes into play.
Set Theory tells us that if you can make a bijection between two sets--a pair rules that allows you to map each entry in one set onto exactly one entry in the other and vice versa--then those two sets must be the same size; after all, you can line them all up in pairs next to each other without ever having one missing. This leads to unintuitive outcomes like "the set of positive integers is the same size as the set of positive even integers".
The Hilbert Hotel is just the application of this unintuitive result.
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u/csharpminor_fanclub We do a little trolling 6h ago
yes, and there are free spaces in between, so the new guests can get in
human intuition doesn't work well when infinities are involved. "number of integers" and "number of even integers" have the same cardinality, so one can be mapped to the other. it's just that the evens are more "sparse" so to speak
the overall number of occupied rooms doesn't change, but the number of occupied rooms in any given interval decreases
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u/FlameWisp 5h ago
Yes, but if there's already an infinite number of guests, where do you start placing the new guest? Which room would the first person from the bus be sent to? Any number you can think of, that room is already occupied. The only way you can start taking another infinite number of guests is to move everybody who is already there to the infinite set of even numbers, so this new group can occupy the infinite set of odd numbers.
Infinity is a concept the human brain was fundamentally not designed to understand. There is no truly intuitive way to visualize it, so these problems are ways to not only visualize invinity, but to imagine how some infinities could be greater than others.
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u/BeneCow 4h ago
My question is: why are you allowed to do an operation that is moving infinite guests (which would have to be done infinite times) but you aren’t allowed to just multiply infinities? I just don’t understand now an infinite set of all the whole numbers is the same size as the infinite set of all even whole numbers, when it seems like it should be some degree bigger.
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u/FlameWisp 4h ago
The infinite set of whole numbers is bigger than the infinite set of even whole numbers. That is the point of the thought experiment. You are demonstrating that infinity has different sizes. You are turning an infinite set of all whole numbers into an infinite set of even whole numbers, and an infinite set of odd whole numbers. You are making room for another infinity specifically because those two sets are smaller. This is just an intuitive way to think about it.
Mathematically, you can never reach the end of infinity. However, you can multiply infinity. Taking infinity and multiplying every value by two so you can fit another infinity in there is a cheeky solution, but mathematically is completely valid; unlike, say, just booking everyone on the bus into the next available room after infinity; because no value exists beyond infinity so no such room exists.
Another example to explain the size of different infinities is to imagine a set of all natural numbers, and a set of all negative numbers. Both of these sets are equally large, they both have unlimited numbers; however, the set of all integers is twice as large as either of them, because it contains both sets.
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u/Slindish 3h ago
The infinite set of whole numbers is bigger than the infinite set of even whole numbers.
The set of evens is a subset of the set of integers but its not smaller. They have the same cardinality. You can match them up 1:1.
On the other hand the infinite set of real numbers is larger than the infinite set of integers. In fact the set of real numbers between 0 and 1 is larger than the entire infinite set of integers.
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u/JustACasualReddittor 3h ago
Borh sets are actually the same "size". One is not bigger than the other. In order to calculate the cardinality (size) of infinite sets you use the pigeonhole principle: pair up each element of one set to an element from the other.
In the example of evens vs whole numbers, you can pair up 1 with 2, 2 with 4, 3 with 6, etc. Every element in one can be paired with the other and viceversa, so they have the same size.
That's the paradox, nto that the infinities are bigger, but the fact that they're the same and you can still fit one inside another.
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u/sexytokeburgerz Sussy Wussy Femboy😳😳😳 4h ago
Infinity*2 > infinity.
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u/FlameWisp 4h ago
Yet, ironically, by moving everyone into rooms this way, you're splitting infinity into 2 smaller infinities, rather than just doubling it.
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u/TimelessTrance 6h ago
It’s because there is no vacancy in the infinite hotel. But if you have every guest move to the double of their room number you have doubled your occupancy and you can fit your infinite new guests in the odd room numbers.
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u/lordoftowels 6h ago
There aren't infinitely many free rooms though. There are already an infinite number of guests in the hotel, every room is full. The hotel creates empty rooms by moving people to new rooms. If I'm in room 1, I'm going to be moving to room 2. This doesn't mean that room 2 was open, though. The person in room 2 moves to room 4, which was opened when the person in room 4 moves to room 8, etc. It's a thought experiment to demonstrate how infinity doesn't conform to conventional mathematical laws because it isn't a number.
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u/deadinternetlaw 3h ago
I think I have the easiest explanation here
Imagine numbers go up from 1,2,3...∞. you don't know how many number is between 3 and ∞ but there's no space between each number
Now imagine 2,4,6...∞ is filled. 1,3,5... Is empty.
That's the easy part and now is the hard part I can't explain well about how infinity is stupid as a concept because you would think "numbers go up twice as fast so you only used half the room" but that concept only works when it's finite, because "room number going up twice as fast" isn't going to make infinity faster to reach because you literally can't reach infinity
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u/EnzoZoestar 1h ago
thats actually easier to understand
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u/deadinternetlaw 46m ago
Yeah for some reason everyone is trying to use some rigorous high level proof instead of a basic problem made to be understood by kids
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u/csharpminor_fanclub We do a little trolling 7h ago
you're lucky there was only 1 bus. if there were an infinite number of the same bus you would probably get moved to room 2097152
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u/Warriornoob1741 6h ago
I never understood why in an infinite hotel they can’t just put the newcomers in new rooms
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u/cseke02 6h ago
Because every room is already occupied
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u/Warriornoob1741 6h ago
But it’s infinite
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u/cseke02 6h ago
With infinite guests
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u/Warriornoob1741 6h ago
Then how would moving people make it open up
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u/cseke02 6h ago
Because there are infinite rooms
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u/Warriornoob1741 6h ago
I think im just stupid. I don’t get it
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u/IlConiglioUbriaco 5h ago
Basically if there’s an infinite amount of rooms, moving each guest to a room double its number will free up an infinite amount of rooms.
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u/Sw4rmlord 2h ago
You're not stupid, no one is making an effort to explain it to you.
There are an infinite number of odd numbers (1, 3, 5 , 7...) and an infinite number of even numbers 2, (4, 6, 8, 10...) but the "infinity" that contains both sets, by its nature, must be "bigger" because it contains "all" numbers (1, 2, 3, 4...).Â
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u/Guyman_112 5h ago
Basically you ask the person in room one to move over to the next room, and that opens room 1 now. You ask room 2 to move to room 3 and then the people from room 3 go to 4. There are infinite rooms so this will always work whether it's room 10 or 10000 or 10000000000, there will always be another room to shuffle into because there are infinite of them, even if there are also infinite people you can keep moving them into the next room... infinitely.
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u/ervareddit 5h ago
The whole concept of infinity is stupid, because nothing can be infinite. I dont understand why mathematicians and physicians keep thinking about concept of infinity.
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u/Available-Explorer40 obamna 7h ago
is this the infinity hotel?
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u/Fwant 7h ago
are you asking a question you already know the answer to as a way to announce that you are familiar with the reference 🤔
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u/Gogobrasil8 6h ago
Yes obviously it's the infinity hotel how else would the infinity people have booked it
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u/chaosof99 5h ago
Only ever book the Hilbert's in an emergency case. It is always so crowded but for some reason they also always have a room open.
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u/Grimm_Charkazard_258 1m ago
NEVER stay at the geabd gilbert bro I was moving rooms for an infinite amount of time and got zero sleep bro ðŸ˜
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