How An Infinite Hotel Ran Out Of Room

  Рет қаралды 29,594,749

Veritasium

Veritasium

3 жыл бұрын

If there's a hotel with infinite rooms, could it ever be completely full? Could you run out of space to put everyone? The surprising answer is yes -- this is important to know if you're the manager of the Hilbert Hotel.
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References: Ewald, W., & Sieg, W. (2013). David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933. Springer Berlin Heidelberg. -- ve42.co/Ewald2013
Gamow, G. (1988). One, two, three--infinity: facts and speculations of science. Courier Corporation. -- ve42.co/Gamow1947
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Special thanks to Patreon supporters: Paul Peijzel, Crated Comments, Anna, Mac Malkawi, Michael Schneider, Oleksii Leonov, Jim Osmun, Tyson McDowell, Ludovic Robillard, jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Marinus Kuivenhoven, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal
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Animation by JD Pounds and Jonny Hyman
Thumbnail by Ivy Tello
Music by Jonny Hyman and from Epidemic Sound and E's Jammy Jams (Hotel Lavish - Radio Nights, Steps in Time - Golden Age Radio, What Now - Golden Age Radio, Book Bag - E's Jammy Jams, Arabian Sand - E's Jammy Jams, Firefly in a Fairytale - Gareth Coker)
Written By Derek Muller and Alex Kontorovich
Sound Design by Jonny Hyman
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Пікірлер: 73 000
@neku-fn8dq
@neku-fn8dq 2 жыл бұрын
Dont you hate it when you're working as hotel manager and then infinite amount of busses full of infinite people decided to use your hotel
@ihatethatrepairmen4255
@ihatethatrepairmen4255 2 жыл бұрын
They are customers
@michelecaronti
@michelecaronti 2 жыл бұрын
You'll have to build an infinite parking lot ahah
@michelecaronti
@michelecaronti 2 жыл бұрын
@@ihatethatrepairmen4255 Legit
@kookies_kooky7170
@kookies_kooky7170 2 жыл бұрын
Seriously i get annoyed while infinite people come in the hotel while iam peacefully eathing ramen
@randomhandle111
@randomhandle111 2 жыл бұрын
@@kookies_kooky7170 infinite supply of ramen in your infinitely large ramen room
@parkermccarthy4265
@parkermccarthy4265 2 жыл бұрын
imagine checking into a hotel at 5 am and realizing you have to walk to room 900 quadrillion
@Readybear77
@Readybear77 2 жыл бұрын
They wouldn't have to the 1st customer would be in room 1 the next customer would move into room 1 and the 1st into room 2 and so on so they don't have to walk that many doors EDIT AFTER 2 YEARS OF HAVING BANTER ABOUT THIS COMMENT IM NOT REPLYING TO ANYONE READ ALL OF MY COMMENTS AND REPLIES BELOW BEFORE YOU REPLY CHEERS AND THANKS FOR THE LIKES
@ankylo5550
@ankylo5550 2 жыл бұрын
Bro a bot just replied to my comment on this post from ages ago with your exact comment
@Readybear77
@Readybear77 2 жыл бұрын
@@ankylo5550 that's strange because someone else further down has said the exact same thing aswell 😱
@justsomeguy6545
@justsomeguy6545 2 жыл бұрын
The guy who has to walk to room 100 saptilion Lucky
@Readybear77
@Readybear77 2 жыл бұрын
@@justsomeguy6545 😂 he won't though they just have to move down 1 door at the same time so the 1st person goes to room 2 the 2nd person moves into room 1 then the next person in line moves into room 1 and they all move down a room at the same time and so on so they won't have to walk infinity doors to get to their room
@theragingranga9484
@theragingranga9484 3 ай бұрын
You think THAT'S bad? Let's assume 1% of the population is disagreeable. That means an infinite number of customers will refuse to leave their room and move to another one.
@ITHrealXD
@ITHrealXD Ай бұрын
Thats means theres a 1 in infinite chance that an infinite amount of people in a row wont move, and since 1 in infinite in a countably infinite hotel would equal atleast one, theres a 100% chance that at some point in the hotel you would have to walk infinite rooms.
@icetooth2269
@icetooth2269 17 күн бұрын
Easy enough, just tell the agreeable person who was ment to move into the disagreeable room, to move into the disagreeable's new room.
@user-fk8zw5js2p
@user-fk8zw5js2p 14 күн бұрын
It's probably the infinite number of johns with their infinite number of prostitutes.
@shamsdolatabadi3838
@shamsdolatabadi3838 13 күн бұрын
​👏🏼👏🏼 ​@@icetooth2269👍🏻
@user-rr3ce3ls2o
@user-rr3ce3ls2o 3 ай бұрын
I booked 1 night in the Hilbert Hotel and it was horrible! It was 10pm at night when I arrived and the receptionist asked me to move to room 13739 and the elevator is still broken as many comments mentioned here, plus a 30003 seater bus pulled up and the receptionist asked me to shift to room 43742 and I had no time to collect my stuff I brought to the hotel with me. The other guy who took my original room who was on the bus also took my stuff, INCLUDING my laptop. Even when I was sleeping, I was asked to SHIFT to double of my room number and was like "F************ this" and completely checked out at 1 in the morning instead of 12 noon which I promised to the receptionist. Bad hotel, don't go here. Would give 0 stars if there was even an option. Edit: MOM IM FAMOUS
@zamhaq8866
@zamhaq8866 3 ай бұрын
Remember that one time where someone pulled the fire alarm and the whole building had to evacuate the same emergency exit? Pranksters man. (Doordash also wont deliver here) 1 star
@daleviker5884
@daleviker5884 3 ай бұрын
I stayed at the Hilbert Hotel back when it was known as the Premier Inn, Heathrow. There were so many people at breakfast that it just had to be a thought experiment.
@zephpiala3634
@zephpiala3634 2 ай бұрын
There's 7 billion people and it can fit 7 billion rooms. There are leftovers here. 0.000000000000000000000000000001 stars
@KnowWithMalvika
@KnowWithMalvika 2 ай бұрын
The bus with infinity number of guests came. They all needed to check out at same time. They checked out at 12 noon. Then, the host had infinite laundry to do. For that they needed infinite helpers, infinite kg of detergents, cleaners, etc. To produce that in a single day, the factories need to produce that in infinite quantity. Now the delivery trucks came to the nearby cross-circle. They will create a infinite traffic jam. Infinite parking will be needed. How could one deliver the product who is standing last second from intinity. It had to travel infinite km. Husshhhh!! So mess
@bigbruhguy
@bigbruhguy 25 күн бұрын
I was the receptionist, sorry for the inconveniences caused...
@Idek294
@Idek294 2 жыл бұрын
Dude, the people staying in that hotel must be pissed having to move so much.
@Ririn_Sama0517
@Ririn_Sama0517 2 жыл бұрын
I'd imagine going for a vacation, and the only thing I'd be doing is changing rooms. If someone asks me what did I do during my vacation I could say I've been changing rooms the whole time.
@cheshire1
@cheshire1 2 жыл бұрын
A solution would be to only move the people who arrived in the last infinite group. That way everyone will move at most once. For the people who arrive in finite groups, you could just set aside the odd numbered rooms at the start and the do all the other stuff only on the even numbered ones.
@Notcreative36
@Notcreative36 2 жыл бұрын
I would just walk until I get hundreds of rooms away from the first avaliable one. Lots of walking, but worth it
@migol1984
@migol1984 2 жыл бұрын
I mean, they're infinitely moving.
@user-xw4mu6nz4t
@user-xw4mu6nz4t 2 жыл бұрын
I'm so confused.... rather that having everyone move up a room, why don't they just have the new guy move to the end of the line of rooms.... Infinite + Infinite = Infinite. Simple as.
@Waterwolf221
@Waterwolf221 3 жыл бұрын
Imagine disturbing an infinite amount of clients just to fit one more person in the hotel
@flygawnebardoflight
@flygawnebardoflight 3 жыл бұрын
I'm just saying that supporting an infinite number of people has got to put a toll on the economy
@artyommoxid6233
@artyommoxid6233 3 жыл бұрын
It's ok. When you are settling in an infinite hotel you have to deal with consequences.
@jeroen5736
@jeroen5736 3 жыл бұрын
maybe weird idea of me but why not put the one more guy on the end of infinity instead of the beginning. because if you can move everyone up one you should be able to put one at the end . maybe because infinity is not reality ?
@flygawnebardoflight
@flygawnebardoflight 3 жыл бұрын
@@jeroen5736 I wish you luck in finding who's at the end of infinity. Spoiler Alert: It's Chuck Norris
@owlman145
@owlman145 3 жыл бұрын
It's ok your making an infinite amount of profit anyway, so even in an infinite amount demand a refund... hmmmm
@chiraggowda4928
@chiraggowda4928 3 ай бұрын
Finally, a job where I can use my PHD in math. A hotel manager.
@chrisytblair
@chrisytblair 3 күн бұрын
🤣
@SwapravaNath
@SwapravaNath 3 ай бұрын
This is the best explanation of countable vs uncountable I have heard so far.
@rikardnorlen752
@rikardnorlen752 2 ай бұрын
Well you can't hold me countable!
@that_one_guy7037
@that_one_guy7037 11 күн бұрын
But if the people from the bus just were in a line, can't you just keep telling everyone to move 1 room forward?
@julianw1010
@julianw1010 5 күн бұрын
​@@that_one_guy7037Yes. But you would never manage to "see" all people from the bus. As the video showed, assume you saw *every* person from the bus, then there still would be a person you didn't saw yet. Every single time. So you would never manage to see every person from the bus who wants a place in the hotel because you will never be able to see everyone from the bus. And if you never manage to see everyone from the bus, well not everyone will be able to have a place in the hotel
@NeerajSingh-jf8mz
@NeerajSingh-jf8mz 3 жыл бұрын
Imagine being so unlucky that you don't even get a room in an infinite hotel.
@criticallyconk4944
@criticallyconk4944 3 жыл бұрын
Rng moment
@user-vb8zo6kh4j
@user-vb8zo6kh4j 3 жыл бұрын
It is your fault for being named ABABBABAAABBABAABABBABAABAB
@futotesan
@futotesan 3 жыл бұрын
@@user-vb8zo6kh4j Or for being named ABABBABAAABCABAABABBABAABAB....or E...and don't even get me started with a name like Futote...not an A or a B in the name. How's the Hotel manager supposed to work with that?
@Woocet
@Woocet 3 жыл бұрын
I know who it is, bad luck brian
@alexeyvlasenko6622
@alexeyvlasenko6622 3 жыл бұрын
Just don't have an infinitely long name, and you won't have a problem
@ibizenco
@ibizenco 2 жыл бұрын
Hotel manager: "You want a room, sir? No problem. The last room at the end of the hall is still free. Just follow the hall and you'll get there. Eventually."
@SuperBhavanishankar
@SuperBhavanishankar 2 жыл бұрын
💀
@Anzal.__
@Anzal.__ 2 жыл бұрын
Wrong
@edu_was_taken9597
@edu_was_taken9597 2 жыл бұрын
Lmao I’ve seen this vid like 50 times and this comment it’s the best
@TachyBunker
@TachyBunker 2 жыл бұрын
Backrooms be like:
@justanother_witheredrose894
@justanother_witheredrose894 2 жыл бұрын
confused confusing confusion
@bonehair3211
@bonehair3211 Ай бұрын
"You have to go to room 100 quinttillon" "you serious"
@erikeriks
@erikeriks Ай бұрын
100 quintillion onions
@shamsdolatabadi3838
@shamsdolatabadi3838 13 күн бұрын
Angrily 😠 😡 demands a comment card from the front desk manager! 😀😉😬
@Wchicken-gu7dc
@Wchicken-gu7dc Ай бұрын
“you have to move double your room number” that one guy with 18373517823883618263x2 trying to solve the problem
@putmyfootupyoass
@putmyfootupyoass 3 жыл бұрын
Teacher: The test isn't that hard. The test:
@satishchaudhary7978
@satishchaudhary7978 3 жыл бұрын
Go study instead of watching videos and then the test won't be hard
@r6tker
@r6tker 3 жыл бұрын
@@satishchaudhary7978 r/whoosh
@TheCrimson_Phoenix
@TheCrimson_Phoenix 3 жыл бұрын
@@satishchaudhary7978 r/whoosh
@gamingstream4675
@gamingstream4675 3 жыл бұрын
@@satishchaudhary7978 r/whoosh
@parkourcracker3984
@parkourcracker3984 3 жыл бұрын
@@satishchaudhary7978 r/whoosh
@hkhan3535
@hkhan3535 3 жыл бұрын
The hotel owner is infinitely rich and infinitely broke at the same time.
@natha2805
@natha2805 3 жыл бұрын
Well as long as the resources he gets from a room is higher than the charges, the man is rich
@caseygust9773
@caseygust9773 3 жыл бұрын
Yes but the overhead. There are infinite costs associated with the hotel
@benjamingumundsson4397
@benjamingumundsson4397 3 жыл бұрын
@@caseygust9773 but if he profits from every room then the money infinite would always be higher than the cost infinite
@caseygust9773
@caseygust9773 3 жыл бұрын
Yes but the overhead to get started always takes some time to recoup, and we are presumably infinitely building new rooms, so, the owner is infinitely in debt
@mustang1912
@mustang1912 3 жыл бұрын
Cantors diagonal is a contradiction in infinity, not a proof of anything.
@RyanShabbir
@RyanShabbir 3 ай бұрын
Bro F’d my brain up and thought I wouldn’t notice💀💀
@antimatterj6005
@antimatterj6005 4 ай бұрын
My CS professor wasn’t able to explain the difference between countable and uncountable Infinity as well as you just had. Thank you for helping me understand that lesson 4 years later lol.
@IriaChannel
@IriaChannel 2 жыл бұрын
This hotel's manager needs an infinite raise
@skullscope
@skullscope 2 жыл бұрын
Watch people make a problem with that
@datboredguy4873
@datboredguy4873 2 жыл бұрын
If for attending infinite people there are infinite managers and each manager gets an infinite raise how much money do u hv to raise
@datboredguy4873
@datboredguy4873 2 жыл бұрын
Btw u are manager
@seederorg2489
@seederorg2489 2 жыл бұрын
@@datboredguy4873 ∞^∞
@unholycrusader69
@unholycrusader69 2 жыл бұрын
What about inflation?
@cu7695
@cu7695 3 жыл бұрын
This is kinda of stuff mathematicians imagine when they're high
@camsandhu340
@camsandhu340 3 жыл бұрын
100th like
@goodlightpringles6335
@goodlightpringles6335 3 жыл бұрын
101st like
@WisdomLearner
@WisdomLearner 3 жыл бұрын
But it indeed lead to the creation of the computer nso that's a plus for the crazy.
@shivaanrambally9611
@shivaanrambally9611 3 жыл бұрын
601st like
@kevinboros7427
@kevinboros7427 3 жыл бұрын
Muahahaha 667th like, I broke the funny number.
@aliasboby
@aliasboby 20 күн бұрын
For some reason i enjoy watching this everytime it pops up on my feed
@user-wx8zp5ye1x
@user-wx8zp5ye1x 2 ай бұрын
Staying at this hotel is literally a workout 💀
@NEKOSAIKOU.
@NEKOSAIKOU. 2 ай бұрын
A deathwish
@mukulkashyap4506
@mukulkashyap4506 2 ай бұрын
I'll prefer to sleep on the road
@pandaescarlate7268
@pandaescarlate7268 3 жыл бұрын
I love how mathematicians literally need to invent a problem that doesn't exist
@bobherobrine3415
@bobherobrine3415 3 жыл бұрын
The hotel in the math problem So me from 2 years in the future here. 1st What was i thinking, this commet makes nearly no sense with how is structured 2nd what braindead people understood it enough to like it to 8k?
@dickhammerbush172
@dickhammerbush172 3 жыл бұрын
You don't tell me how many watermelons are in my swimming pool, I do
@recoupxtra7270
@recoupxtra7270 3 жыл бұрын
Fax
@unapersonaelegante4399
@unapersonaelegante4399 3 жыл бұрын
Some weeks ago I did a test that said: Victor written all number from 1 to 2021 but he missed the space between each other, which number will be in the position 2021? And I though, why would I ever need to know that?
@BumHoleTickler
@BumHoleTickler 3 жыл бұрын
It's to show how smart we are
@somebody9651
@somebody9651 2 жыл бұрын
Imagine spending the whole holiday just to reach to your room in an infinite hotel
@chanchalsharma8196
@chanchalsharma8196 2 жыл бұрын
😆😆😆😆
@RandyButternubs917
@RandyButternubs917 2 жыл бұрын
Then imagine the manager telling you to move to the number twice your room number you're already in. Might as well just start your hike back to the front desk.
@dv9239
@dv9239 2 жыл бұрын
Infinite holiday
@user-Number346
@user-Number346 2 жыл бұрын
Yes but you got an infinite life so it s not that long compared to the time you got
@nuralyh_ahmd
@nuralyh_ahmd 2 жыл бұрын
😂😂😂😂😂😂i think the same
@user-mp2fk1iq3f
@user-mp2fk1iq3f 21 күн бұрын
"may i use the bathroom?" "yeah its at the end of the hall way" "motherfu-"
@argentinman682
@argentinman682 3 ай бұрын
Imagine being on the 374,395,106,285th bus and your the 206,305,936,253,194th passenger 💀
@oliveguitar
@oliveguitar 6 күн бұрын
I don't get it. Explain.
@darthutah6649
@darthutah6649 Күн бұрын
@@oliveguitar Infinite number of infinity buses
@NonsenseFabricator
@NonsenseFabricator 3 жыл бұрын
"Imagine there's a hotel with infinite rooms..." Already lost me, buddy.
@Guztav1337
@Guztav1337 3 жыл бұрын
Just think of a hotel with many rooms
@manuelr.7461
@manuelr.7461 3 жыл бұрын
Lol
@bozhanatoneva1973
@bozhanatoneva1973 3 жыл бұрын
@@Guztav1337 I cant Like there should be an end of the rooms 😭🤚 It might be the 100000 rooms but WITH AN ENDD
@reaperlucario3155
@reaperlucario3155 3 жыл бұрын
Same
@Okaz_
@Okaz_ 3 жыл бұрын
Hallway
@alexguy7395
@alexguy7395 2 жыл бұрын
It’s funny how this assumes that the guests don’t care about moving from their hotel rooms a crap ton of times
@jaspertyler4557
@jaspertyler4557 2 жыл бұрын
by technicality, it's just to show there would be enough rooms to fit everyone, and the new people could just enter the empty rooms that are confirmed to exist.
@tanshiro8593
@tanshiro8593 2 жыл бұрын
Maybe they infinitely fast
@nataliaborys1554
@nataliaborys1554 2 жыл бұрын
Imagine being in room 1028 and suddenly the manager tells you to move to room 2056. That's one hell of a walk.
@ELREASON44
@ELREASON44 2 жыл бұрын
@@nataliaborys1554 It would really be a disaster going from room 2^60 to double that number.
@rattle7215
@rattle7215 2 жыл бұрын
an infinite number of times...
@ismailsahin3232
@ismailsahin3232 3 ай бұрын
The logic of the last example is how they proved there are more decimal numbers between 0 and 1 than there are integers from 0 to infinity
@okgaming7886
@okgaming7886 2 ай бұрын
But doesn't logic also say that for any decimal between 0 and 1, you'll find an integer by dropping the decimal point?
@ismailsahin3232
@ismailsahin3232 2 ай бұрын
@@okgaming7886 no because 0,1 and 0,01 and 0,001 all will give 1 when you drop the decimal even though they are different numbers
@okgaming7886
@okgaming7886 2 ай бұрын
@@ismailsahin3232 fair, but for every case of a leading zero that can be dropped from an integer, there's a decimal with a trailing zero that can be dropped, e.g. .10, .100, .1000 are all .1. So that still should work out even, should it not? Perhaps a better axiom is that you can always reverse it and drop the decimal.
@ismailsahin3232
@ismailsahin3232 2 ай бұрын
@@okgaming7886 yes but that doesnt mean it will even out, also i think the point was that integers are countable infinity where as decimals are not. When given a 2 integers you know how many integers are there between them where as there is always infinite number of decimals between 2 different decimals.
@okgaming7886
@okgaming7886 2 ай бұрын
@@ismailsahin3232 I don't see how it wouldn't. If we can prove there's a rule to convert any unique decimal into an equally unique integer, logic should hold there can't be more of them. But I also don't buy the contradiction that a hotel with infinite rooms could become full. If it's full, it isn't infinite; if it's infinite, it isn't full. This entire problem seems to depend on temporarily forgetting the premise that it's infinite, then remembering it, so what do I know? lol
@shepardog8180
@shepardog8180 2 ай бұрын
These videos make me feel stupid but they're so fascinating and entertaining
@RxktPlayz
@RxktPlayz 2 жыл бұрын
People in the hotel “I literally just finished unpacking stop moving us to another room.”
@SkillTimO
@SkillTimO 2 жыл бұрын
You never would finish unpacking your infinite items.
@lizlee8715
@lizlee8715 2 жыл бұрын
At that rate, I'd just keep all of my stuff in an suitcase...
@magnabueno5360
@magnabueno5360 2 жыл бұрын
Technically they would spend the entire day changing room
@cytusdux7439
@cytusdux7439 2 жыл бұрын
@@magnabueno5360*lifetime
@doomkenka
@doomkenka 2 жыл бұрын
Just about to put that
@NONOOBZ4EVR
@NONOOBZ4EVR Ай бұрын
Really cool and interesting I did not understand any of it but thank you
@Jtzoro_smoke
@Jtzoro_smoke 3 ай бұрын
Even though I know all of this, I still like to come back and watch this because it’s so well done
@trygveplaustrum4634
@trygveplaustrum4634 2 жыл бұрын
"All right, everyone, move to the room number that's twice your current room number." *Guy at Room One Billion:* "Ugh, fine..."
@viethuongvothai686
@viethuongvothai686 2 жыл бұрын
The guy assigned to room 1 quintillion: *Already turn into a skeleton getting to his room*
@egg.007
@egg.007 2 жыл бұрын
The guy who had a quintillion numerals in his room number:okay
@freestylecreations9677
@freestylecreations9677 2 жыл бұрын
How about just changing room number on door?
@sachin-rathi
@sachin-rathi 2 жыл бұрын
@@freestylecreations9677 who will change the room number for empty rooms😂
@Krishdylan
@Krishdylan 2 жыл бұрын
Person at Octillion: turns into dust that can be vacuumed when trying to move.
@Namiizan
@Namiizan 3 жыл бұрын
"An infinite number of infinite buses show up. What can you do?" Well, for a start I could quit my job
@spike480p
@spike480p 3 жыл бұрын
Wt-
@azure_vxiii
@azure_vxiii 3 жыл бұрын
And get hired as a waiter for an infinite restaurant? 😜
@mimi-ix3fb
@mimi-ix3fb 3 жыл бұрын
@@azure_vxiii big oof
@bijan2210
@bijan2210 3 жыл бұрын
Just tell them to move forward until they give up or find an empty room.
@TheSUGA1202
@TheSUGA1202 3 жыл бұрын
How much is the paycheck cause even if its infinite i wouldnt be paid enough.
@Frog_Drip
@Frog_Drip 28 күн бұрын
"Move to the room with double their room number" The guy in room 15000000000000000 A.K.A. fifteen quadrillion: 💀💀💀💀
@ChickenNuggetManCNM
@ChickenNuggetManCNM 27 күн бұрын
And then right when he reaches there he gets relocated to fit the people from the infinite buses
@rafalkaminski5120
@rafalkaminski5120 3 ай бұрын
I would love to watch" the story for another" time". Ist there already movie to this trailer?😂. Your movies are great. I love the simplicity you're bringing in complex questions. Thank you for that.
@TheWanderer_1
@TheWanderer_1 3 жыл бұрын
“An infinite number of infinite busses.” - “Dear god.” “But now a big bus pulls up” - “No.”
@thetoiletpaperrollondalgom4592
@thetoiletpaperrollondalgom4592 3 жыл бұрын
Imagine the traffic by just standing behind the bus ;-;
@softtacos1
@softtacos1 3 жыл бұрын
Dear god... There's more. No...
@gavinli1368
@gavinli1368 3 жыл бұрын
Do you want the bucket?
@softtacos1
@softtacos1 3 жыл бұрын
@@gavinli1368 Yes!
@alexeyvlasenko6622
@alexeyvlasenko6622 3 жыл бұрын
Then a bigger bus pulls up, where all the passengers don't have unique names but have unique sets of social network connections to all the passengers with the infinite names... and every possible set of social network connections is represented
@alanhulseii9093
@alanhulseii9093 2 жыл бұрын
Imagine just unpacking and being told to move 100 rooms down
@francisbacon3949
@francisbacon3949 2 жыл бұрын
Literally laughed out loud at this one hahahaha 💀💀💀
@vcreativeart16
@vcreativeart16 2 жыл бұрын
Imagine just unpacking and being told to move 189,146,081,499,116 rooms down
@jhsevs
@jhsevs 2 жыл бұрын
Or a hundred infinities
@shahidkhan-uq9mm
@shahidkhan-uq9mm 2 жыл бұрын
@@vcreativeart16 r/yourjokebutworse
@jhsevs
@jhsevs 2 жыл бұрын
@@shahidkhan-uq9mm this is not reddit.
@libsh5684
@libsh5684 Ай бұрын
I’m just imagining the long walk in the alley of the bus
@JPThibauShorts
@JPThibauShorts 19 күн бұрын
“oh ur room is 20101020133132” the next night… “oh crap”😭😭😭
@battlesheep2552
@battlesheep2552 3 жыл бұрын
Imagine you go to this hotel, your room number is some absurdly high number. It takes hours to get to it, and you're dead tired once you do. You're about ready to throw yourself on the bed when you hear over the PA: "please move to the room number that is 2 times your current number".
@ememmeme8722
@ememmeme8722 3 жыл бұрын
That's why we support emperor palpatine. He will get rid of these infinite hotels with his infinite power.
@iBetThisNameWillWork
@iBetThisNameWillWork 3 жыл бұрын
Imagine being the 8183748595937262628385837251416363626273849595th person off the buss.
@gladiatoranc
@gladiatoranc 3 жыл бұрын
There are an infinite number of rooms, therefore it would take some people infinite walking and would never get to their room even if they had infinite life...therefore some rooms would always be empty...
@tomsvoboda2309
@tomsvoboda2309 3 жыл бұрын
@@gladiatoranc There are infinitely many, but all of them can be reached in a finite time. Just as you can count from 0 to any natural number by repeatedly adding 1 in a finite time (possibly absurdly high, but still finite).
@gladiatoranc
@gladiatoranc 3 жыл бұрын
@@tomsvoboda2309 Even if you had infinite time and infinite walking speed you could never get to the infinite last room, there are no last rooms...You would be constantly filling up the hotel for eternity without ever getting it filled up.
@luigi.gaming
@luigi.gaming 3 жыл бұрын
The people whose room numbers are huge: "You can check out any time you like, but you can never leave."
@tastygiggidy633
@tastygiggidy633 3 жыл бұрын
LMAO BEST COMMENT IF YOU KNOW THE SONG
@theblackreaper4395
@theblackreaper4395 3 жыл бұрын
@@tastygiggidy633 Yeah Xdd
@paulmurray2729
@paulmurray2729 3 жыл бұрын
The song is Hotel California by the Eagles.
@saswatsarangi6669
@saswatsarangi6669 3 жыл бұрын
Then how can you checkout or check-in in the first place
@gabrielferes
@gabrielferes 3 жыл бұрын
@@saswatsarangi6669 phone
@Doggo_on_vr
@Doggo_on_vr 2 күн бұрын
911 what's your emergency? Me: my brain isn't braining
@whatdidyousay245
@whatdidyousay245 2 ай бұрын
imagine having to move to the room double your number but your in room 500M🧫
@921_Films
@921_Films 3 жыл бұрын
Imagine having to wake up in the middle of the night to change rooms so ABABABAAAABBBAAABBB can have a room
@anna_9195
@anna_9195 3 жыл бұрын
But then you have to move again so ABABABABABABAAAAAAAAAAAAAAAAAAAAAAAABABABBBBBBA can have a room
@chelyr5517
@chelyr5517 3 жыл бұрын
And then again for BBABABBBAABAABABABABABABBAABABABBABABAABABABABABABABABBABABABABABABABABABABAABABABABABBAB to have a room.
@mola3371
@mola3371 3 жыл бұрын
And then you have to change room once again so BABAAABBBABABABABBABABABABAVABABABABAABBAABAABABBABA can have a room
@rajeshwari4097
@rajeshwari4097 3 жыл бұрын
@@mola3371 And then you have to change again so that ARABABABABABAAAAAAAAAAAAAAABABABABABABABABAB could have a room.
@stevi6044
@stevi6044 3 жыл бұрын
And you need to change it another time so 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...
@Kumpulas
@Kumpulas 3 жыл бұрын
Customer: where’s my room sir? Hotel manager: at the end of the hall
@bigj9503
@bigj9503 3 жыл бұрын
*walks 4000 gigameters*
@kordru
@kordru 3 жыл бұрын
@@bigj9503 *walks infinite amounts of infinite distance for infinite time*
@Utkarsh2607
@Utkarsh2607 3 жыл бұрын
@@kordru and after infinity millenium ,probably you will reach there... Manager:Wishing that your age is infinite.. (o‿∩)
@Colza_snowed
@Colza_snowed 3 жыл бұрын
4 gigameters is already 2.485e+6 miles
@bschristopher916
@bschristopher916 3 жыл бұрын
by the time he reaches his room, he'll have infinite Grandchildrens and so on
@Derek-wj5je
@Derek-wj5je 5 күн бұрын
It's 3am and you just hear, "Everyone move down 2 million rooms"
@prooocloudyoreal
@prooocloudyoreal 28 күн бұрын
"Wanna know ny friends full name?" "Ok" "His name is ABBABABABABABABABBBBBAAAAAAABBBBBABBAAABBBBBBBBBBABABAAAAAAAAAABBBBBBBBBBBB etc." "WHAT DO YOU MEAN ETCETERA"
@ericoschmitt
@ericoschmitt 3 жыл бұрын
Just tell them to walk down the hall knocking every door until they find one empty. They will never return to ask questions.
@AvenDonn
@AvenDonn 3 жыл бұрын
This is why you don't need to learn math to be a good engineer
@ericoschmitt
@ericoschmitt 3 жыл бұрын
@@AvenDonn I did study engineering, and calculus was not my strength lol
@denispol79
@denispol79 3 жыл бұрын
An engineer enters a burning building and sees a fire extinguisher on a wall. He grabs it and puts the fire down. A mathematician enters a burning building and sees a fire extinguisher on a wall. He just walks out, because there's a clear obvious solution.
@Kingdo99a
@Kingdo99a 3 жыл бұрын
This to me seems more like a thought experiment on efficiency, extra rules and assumptions had to be made to come up with a answer. Im no mathematician, but I would have thought it didnt mater In what way an infinite amount of people arrived, or in how many groups. They all wanted the same thing and could be considered a single entity. Meaning a universal less efficient method could have been used.
@SeeAndDreamify
@SeeAndDreamify 3 жыл бұрын
Hmm, this won't work because eventually they will get tired of looking. But that is illustrating a flaw in the solutions in the video too. All of them assume that all guests are capable and willing to follow your instructions, and given an infinite number of guests, I think that is guaranteed to not be the case for some of them.
@mcmona4171
@mcmona4171 3 жыл бұрын
"I love you " "I love you more" "I love you times infinity!" Me: pulls out spreadsheet.
@sen4845
@sen4845 3 жыл бұрын
💀
@gregoryb4322
@gregoryb4322 3 жыл бұрын
“Actually I think that you’ll find that will be quite literally impossible🤓”
@afigamming7958
@afigamming7958 3 жыл бұрын
I have mona
@mcmona4171
@mcmona4171 3 жыл бұрын
@@afigamming7958 yesss me too! (though I was pulling for venti 😔)
@aadenkeehn8112
@aadenkeehn8112 3 жыл бұрын
Crispy chicken sandwich and caramel brownie mcflurry
@tanveer_badar_
@tanveer_badar_ 3 ай бұрын
This is Cantor's diagonalization argument and it is vastly useful in disproving statements.
@-kaori
@-kaori 2 ай бұрын
It doesn't make sense to me, can you explain it? I don't see why the person with these diagonal letters wouldn't be on the list, if every combination of the 2 letters is supposedly on the list.
@jakubtech-ui3rx
@jakubtech-ui3rx Ай бұрын
Me and my BF Manager:"You are called AAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABABAAAAABABAAABAAABAAABABBBABABABABBABBABABBABAABABABAB" Me:Ok?
@alifputrawan9565
@alifputrawan9565 2 жыл бұрын
I'm impressed that a bus has more capacity than a hotel.
@kelsey5818
@kelsey5818 2 жыл бұрын
There are multiple busses, not multiple hotels.
@oboy1918
@oboy1918 2 жыл бұрын
@@kelsey5818 but can the one hotel fit all the people from the last bus with infinite ababab s
@kelsey5818
@kelsey5818 2 жыл бұрын
@@oboy1918 just put them on an infinite bus with seats. Problem fixed.
@Jellyduckface1
@Jellyduckface1 2 жыл бұрын
That's one hell of a bus huh?
@gigaomnom3849
@gigaomnom3849 2 жыл бұрын
They had the same. There were just multiple buses
@ClemensAlive
@ClemensAlive 3 жыл бұрын
All I care about is the infinite buffet...
@joshchen8679
@joshchen8679 3 жыл бұрын
@Darth Sidious ice cream 🍨 line will also be infinite
@rogermwilcox
@rogermwilcox 3 жыл бұрын
If you eat an infinite amount of food, you will have an infinite mass, which means you will be a black hole with an event horizon that's infinitely large. You won't be in the hotel, the hotel will be in you!
@masternobody1896
@masternobody1896 3 жыл бұрын
all i care about infinite money
@TheSwarm666
@TheSwarm666 3 жыл бұрын
Bag eggs poggers
@Believe_on_the_LordJESUSChrist
@Believe_on_the_LordJESUSChrist 3 жыл бұрын
there's even greater things than that in heaven.
@diamondtrike4963
@diamondtrike4963 4 ай бұрын
4:57 If you're confused remember that both the list and amount of letters are infinite. Using this diagonal is a sure fire way to eliminate a single person with out a room, it can't match with anything
@karimkaa
@karimkaa 15 күн бұрын
But I still don’t understand, if there’s infinite set of strings, let call it S, it has to include “No Room person”, meaning he has room?
@ethankylem.francisco5722
@ethankylem.francisco5722 4 ай бұрын
What a smart explanation!
@Bluedragon-iz3oo
@Bluedragon-iz3oo 3 жыл бұрын
This is a horrible hotel to stay at. Imagine having to move room everytime a new person pays for a room.
@Ghostxx
@Ghostxx 3 жыл бұрын
But maybe its extremely cheap like $0.0000001 because it doesnt matter, they are making an infinite number of money
@tracyh5751
@tracyh5751 3 жыл бұрын
For a premium fee, we will give you an odd numbered room. And then when the new person comes for their room we will have the person in room 2 go to room 4, the person in room 4 go to room 6, the person in room 6 go to room 8, and so on. You shan't be bothered throughout your stay.
@allx1048
@allx1048 3 жыл бұрын
@@tracyh5751 what about an infinite bus
@sneakyking
@sneakyking 3 жыл бұрын
Infinite complaints to the manager
@opintermediate2171
@opintermediate2171 3 жыл бұрын
@@Ghostxx damn that’s smart
@cluckinbell1992
@cluckinbell1992 3 жыл бұрын
"I can't get into my room. I've been in Room 27." "You've been moved to Room 945,172,370,837,362. Also, the elevator is broken. Use the stairs." "I'm just gonna leave."
@Guztav1337
@Guztav1337 3 жыл бұрын
But then infinite people would leave, and all the other hotels are full. So only this infinite hotel has space.
@manuelr.7461
@manuelr.7461 3 жыл бұрын
...
@funny_ol_kat
@funny_ol_kat 3 жыл бұрын
Oof
@lamhw
@lamhw 3 жыл бұрын
@@Guztav1337 oh. I’ll go home then
@JohnSmith-ox3gy
@JohnSmith-ox3gy 3 жыл бұрын
But you can not as there ia a never endingvstream of new areivals as infinite number of busses full of infinite number of new people.
@ChromoBolt
@ChromoBolt 2 ай бұрын
I’ve been recommended this video many times before THIS IS THE TIME I WATCH IT
@ApolloAgain
@ApolloAgain 3 ай бұрын
People staying at this hotel : “Ahhh I can finally rest.” Hotel Receptionist: “Move to room 314159265 quadrillion.”
@mmicoski
@mmicoski 3 жыл бұрын
I am sorry for the cleaning person... she left one morning to clean the rooms and never came back...
@AdityaRaj_24
@AdityaRaj_24 3 жыл бұрын
Well if there are infinite number of rooms and infinite number of person living in each of them, then maybe there would be arrangments for an infinite number of cleaning person each assigned one room to clean.
@mmicoski
@mmicoski 2 жыл бұрын
@@AdityaRaj_24 that's a good idea. And if the manager tries to save money (in salaries) and allocate one cleaning person teach 10 rooms, he still will pay infinite salaries...
@AdityaRaj_24
@AdityaRaj_24 2 жыл бұрын
@@mmicoski well he gotta pay infinite salleries because he is receiving infinite room charges from his customers. And suppose that the manager is charging 100 bucks for each room and paying 10 bucks for getting each room cleaned. Now here the room charge paid by each customer is finite and the sallery given to each cleaning person is finite. But the income of the hotel (which is finite from each room, say 30 bucks per room) is infinite! So we gotta say it's a smart move to construct such a hotel.
@mmicoski
@mmicoski 2 жыл бұрын
@@AdityaRaj_24 you are right! I suppose the secret of the success here is to get investors for this enterprise...
@tharindurajakaruna1590
@tharindurajakaruna1590 2 жыл бұрын
@@AdityaRaj_24 but would be stupid management wise, whose gonna pay them all xD
@humooon79
@humooon79 3 жыл бұрын
"Imagine if there is a hotel with infinite rooms and you are the manager, what would you do?" "I'd quit"
@Guztav1337
@Guztav1337 3 жыл бұрын
sad
@jillonderdonk7836
@jillonderdonk7836 3 жыл бұрын
Lol
@justaloser4178
@justaloser4178 3 жыл бұрын
Y would U quit? There is infinite money!!!!!!!! Who cares about the customers of the bus? You can be a billionaire with the customers you already have!
@e5858
@e5858 3 жыл бұрын
Demolish it for infinite resources
@antocost
@antocost 3 жыл бұрын
You could get infinite tips xD
@ummesalmazimia
@ummesalmazimia 10 күн бұрын
I watched this 3years ago when I was 19 and it went above my head, still for 3years I thought about it for sometime, I told myself I will rewatch it to understand it again, suddenly it's on my recommendation again, glad I watched it and loved it❤
@morrischristopher5366
@morrischristopher5366 3 ай бұрын
Great video, but I noticed a potential inaccuracy in the explanation regarding infinite rooms. Here's the issue: The guest labeled "no room" wouldnt occur in an infinite spreadsheet. Even if a new infinite guest bus comes over the next minute, it would still have a room because we can infinitely shift existing guests one room over, creating a chain reaction with infinite vacancies. The true challenge lies in managing (assigning/tracking) an infinite number of guests, not a lack of space. Our finite human methods struggle with handling infinity. Therefore, the answer to "Could you run out of space?" is definitively no. Infinite rooms can accommodate everyone. Hire me as the Manager of the Hilbert Hotel :)
@Poke_gamerYT
@Poke_gamerYT 3 ай бұрын
You are hired
@shavojohn4241
@shavojohn4241 2 ай бұрын
You cannot shift guests infinitely many rooms, the only valid move is to shift simultaneously each one of the different guests a finite number of rooms (this number depends on each guest)
@juliansantos5579
@juliansantos5579 3 жыл бұрын
“Imagine if you were a hotel manager and a bus pulled up with an infinite number of people in it” No I will not imagine
@Nobody-pp4vr
@Nobody-pp4vr 3 жыл бұрын
Infinite work
@jahnvivi5939
@jahnvivi5939 3 жыл бұрын
So you've chosen to rebel? Understandable, have a nice day.
@dperfett
@dperfett 3 жыл бұрын
destroyed
@Dovenchiko
@Dovenchiko 3 жыл бұрын
@@Nobody-pp4vr this is making me have an exetental crisis that the customers never end and I just process an infinite line of people. Only having a lunch break and a longer break to go home and sleep. Help my brain is panicking.
@wiameena39
@wiameena39 3 жыл бұрын
This will need infinite time. So no one is getting a room. Sorry still working on it 🤷‍♀️ (Goes on vacation instead)
@harrisont2004
@harrisont2004 2 жыл бұрын
“Oh just move to the room double your room number.” “But I’m… at room 9,000,000,000,000,000,000,005.”
@esquilax5563
@esquilax5563 2 жыл бұрын
"So what? There are infinitely many people in higher-numbered rooms"
@Keke_offi
@Keke_offi 2 жыл бұрын
He means that the person in that room will walk for a very long time until getting to the right room
@arghyadeeppal9638
@arghyadeeppal9638 2 жыл бұрын
Sure, keep walking, either you reach your room or die trying!
@gabrieldavis4434
@gabrieldavis4434 2 жыл бұрын
“Start walking, bitch.”
@kristinaalshami2178
@kristinaalshami2178 2 жыл бұрын
@@gabrieldavis4434 UNDERATED REPLY OML I DIED
@pavanrajesh-ts6pg
@pavanrajesh-ts6pg 4 ай бұрын
youtube has be recomending this from long time finally i have seen it
@GoIdappI555
@GoIdappI555 3 ай бұрын
i love how that it is a infinity hotel and the rooms are at the right but then there is also the fact where there is building there too
@colinginn7025
@colinginn7025 2 жыл бұрын
I was going to make a joke about infinity, but I'll never hear the end of it.
@colonelhacker3661
@colonelhacker3661 2 жыл бұрын
This guy... :)
@sicklymoonlight
@sicklymoonlight 2 жыл бұрын
well done.
@user-ke2dl9se5l
@user-ke2dl9se5l 2 жыл бұрын
n1
@wa6488
@wa6488 2 жыл бұрын
Get out
@toast1757
@toast1757 2 жыл бұрын
nice dad joke
@JrsFTW
@JrsFTW 3 жыл бұрын
This hotel sounds like literal hell. Imagine being disturbed Infinitely to Infinitely walk down a hallway to your next room. I would literally prefer to sleep in the dirt than be subjected to near endless walking at this hotel.
@billcraig5614
@billcraig5614 3 жыл бұрын
Incredible how little thought you were able to give to this thought experiment! I won't be surprised if your next argument is that there is no way that there would be enough bath towels to go around so this could never really happen.
@JrsFTW
@JrsFTW 3 жыл бұрын
@@billcraig5614 Dude calm down, I only said what came to mind. It doesn't hurt anyone and I didn't insult anyone.
@DeputyDiddle
@DeputyDiddle 3 жыл бұрын
@@billcraig5614 dude what are you even talking about? They didn't say anything about this theoretical experiment being possible or impossible. You literally just read his comment, thought of your own thing, and then got mad at them for the thing you yourself thought of.
@heavyguy4660
@heavyguy4660 3 жыл бұрын
@@billcraig5614 Incredible how much of a smart ass you sound!
@mickeyagrawal2001
@mickeyagrawal2001 3 жыл бұрын
He is a dumb troll, ignore him.
@hearTelus
@hearTelus 3 ай бұрын
i want more videos about David Hilbert!
@danqe7218
@danqe7218 Ай бұрын
This gives me the chills.
@80taranjeet
@80taranjeet 3 жыл бұрын
The most unrealistic thing about this is that the manager is providing rooms.
@geoffdb8118
@geoffdb8118 3 жыл бұрын
🤣🤣🤣🤣🤣🤣🤣 brilliant joke
@autowarranty2852
@autowarranty2852 2 жыл бұрын
"this is the hilbert hotel, and you're the manager" Me: "I quit."
@zhounen790
@zhounen790 2 жыл бұрын
LMAO
@user-dv9ze9tt4l
@user-dv9ze9tt4l 2 жыл бұрын
@nickdanvers547
@nickdanvers547 2 жыл бұрын
ez
@axolotl6564
@axolotl6564 2 жыл бұрын
Same
@reinhard7731
@reinhard7731 2 жыл бұрын
accurate response
@aravindraj6256
@aravindraj6256 23 күн бұрын
Hats off to Ramanujan. The man who knew infinity.
@HashBrownsClips
@HashBrownsClips Ай бұрын
Just tell every customer to go to the next room along.
@thetaomegatheta
@thetaomegatheta Ай бұрын
Doesn't help in the case of the last problem. As shown in the video.
@MyDigitalHub
@MyDigitalHub 2 жыл бұрын
Bottomline, this hotel is a big problem. It's not ideal for a place of rest since you're always on the move.
@gilgameshofuruk4060
@gilgameshofuruk4060 2 жыл бұрын
Not to mention the noise from all those coaches.
@lucasliebetrau8995
@lucasliebetrau8995 2 жыл бұрын
you would get a new room before you reach your room aswell
@MyDigitalHub
@MyDigitalHub 2 жыл бұрын
@@lucasliebetrau8995 yeah bruh
@akshatjindal3770
@akshatjindal3770 2 жыл бұрын
.
@Zahra.alturabi
@Zahra.alturabi 2 жыл бұрын
Heheh
@jairus2008
@jairus2008 2 жыл бұрын
I feel bad for the guy that has to walk forever just to go to his room that he will never reach
@benjaminraymundo6711
@benjaminraymundo6711 2 жыл бұрын
Actually he will one day reach it but its would be soooooo long that it might feel like eternity but it will come eventually. That's how infinity works
@nadineullrich3809
@nadineullrich3809 2 жыл бұрын
The guy waiting an infinity inside the bus to get out, will dream of being able to walk to his room.
@user-wb7ez9ud4p
@user-wb7ez9ud4p 2 жыл бұрын
The funny part is: no single person would walk for infinity to get to his room! Every single person would have an exact room number, and thus an exact time it would take to get there. The time may be arbitrarily long but always FINITE! That's the beauty of countable infinity, it's so manageable.
@cresbalundo8845
@cresbalundo8845 2 жыл бұрын
*the backrooms*
@sharonsia1351
@sharonsia1351 2 жыл бұрын
@fred McMurray the other end
@AVERAGE_ROBLOX_GOD
@AVERAGE_ROBLOX_GOD 3 ай бұрын
The most interesting thing I will watch ever in my life
@savegood1234
@savegood1234 Ай бұрын
The hotel was already filled with the first bus having infinite people 😂
@pofjndgk8882
@pofjndgk8882 3 жыл бұрын
*"Well you pull out an infinite spreadsheet"* Ah yes, just another normal day at work
@TheCapone1217
@TheCapone1217 3 жыл бұрын
Rip off
@fernandobanda5734
@fernandobanda5734 2 жыл бұрын
Stolen comment
@sanstheskeleton6199
@sanstheskeleton6199 2 жыл бұрын
@@fernandobanda5734 half the comments on youtube are stolen, buddy.
@yingyang7666
@yingyang7666 2 жыл бұрын
Its actually normal day at work. Its called Excel
@wavingdragon
@wavingdragon 2 жыл бұрын
How many rows does a spreadsheet typically has? 256? No. Probably the square of that. That would make it 65,..., eh, thousand something. Okay, it's an infinite spreadsheet!
@pakistaniyoutuber581
@pakistaniyoutuber581 3 жыл бұрын
Manager: Can everyone please move from their room again Guest: B R U H....
@lans241283
@lans241283 3 жыл бұрын
Pol
@MuhammadWaseem-kj5ye
@MuhammadWaseem-kj5ye 3 жыл бұрын
I'm also pakistani
@williamjames7293
@williamjames7293 3 жыл бұрын
I'd check the heck outta there
@benjo3355
@benjo3355 3 жыл бұрын
Loool
@YYZed12
@YYZed12 3 жыл бұрын
LMAOOO
@turbokid1237
@turbokid1237 20 күн бұрын
A good hotel, but if it is infinitely big, then there isn't room for anywhere else in the world. So, everyone has to live in this hotel for eternity.
@Keegan3
@Keegan3 8 күн бұрын
who else comes back to this video every once in a while to see if they finally understand?😂
@Ilovetocheer139
@Ilovetocheer139 8 күн бұрын
What a they/them comment. This isn’t about you😡
@pixieb9166
@pixieb9166 3 жыл бұрын
I would hate that hotel 💀 Imagine being asked to move to another room everytime someone arrives 💀💀
@ClassicBentobox
@ClassicBentobox 3 жыл бұрын
If you leave it frees up a room for another customer
@ClassicBentobox
@ClassicBentobox 3 жыл бұрын
@@ayamelee9020 im on the side of math not the consumer on this one. I’m sorry
@user-zt8yq8fj3h
@user-zt8yq8fj3h 3 жыл бұрын
That's only if someone arrives AND there's already infinite people there, not just it someone arrives. If there were like 100 then they'd just go to room 101.
@huutao3012
@huutao3012 3 жыл бұрын
Ikr✋💀
@korayacar1444
@korayacar1444 3 жыл бұрын
@@ayamelee9020 If you were to manage this hotel, you'd probably want to leave most (100% in the limit) guests alone, and there's a very simple trick to do this. Just consider the rooms that have powers of 10 as their number. These rooms themselves form an infinite sequence, yet they make up a 0% proportion of the hotel in total. I'll now refer to these as the 'switch rooms'. I will also refer to guests by their previous room number. If guest n wants to leave, just shift guest 1 to room n, and fill in from the shift rooms. (If room n is a shift room, simply fill in from the higher shift rooms instead.) If a guest wants a room, make space in room 1 using the shift rooms. If countably infinitely many guests want a room, draw a bijection to the natural numbers, vacate all odd shift rooms (guest in shift room n goes to shift room 2n for all natural n), and fill the odd shift rooms with the new guests. If countably infinitely many guests want to leave, draw a bijection to the natural numbers, fill the gaps using the guests in the odd shift rooms, and fill the shift rooms back in (guest in shift room 2n goes to shift room n for all natural n). If an uncountable number of guests want a room, turn them all away. Using this method, any long-time resident of the hotel will eventually be assigned a room which isn't a shift room, and 100% of guests would be satisfied.
@SIRMMA
@SIRMMA 2 жыл бұрын
When the infinite number of infinite buses arrived, gotta admit I felt like giving up on my career as hotel manager.
@V4_3C
@V4_3C 2 жыл бұрын
Lol
@ruan13o
@ruan13o 2 жыл бұрын
Just think of the infinite profit.
@ianh1504
@ianh1504 2 жыл бұрын
Yeah and youre just a manager so youre getting the same wage even though hotel profits are infinite for the owners
@Pink_blox1
@Pink_blox1 2 жыл бұрын
Same like …
@clayroberts2951
@clayroberts2951 2 жыл бұрын
I really didn’t get his argument there, an infinite number of buses doesn’t change the number of people, 1 infinite number bus has just as many people as an infinite number of buses
@jasveenpuri
@jasveenpuri 2 ай бұрын
In the first example, why would you ask everyone to move each room by 1? If you already going to be calling each room to tell them to move, that means you already know the last room? Then why not just give the new person the room after that last room ? More efficient than calling everyone.
@RonaldRaygun-tg4zl
@RonaldRaygun-tg4zl 2 ай бұрын
"that means you already know the last room? " There is no such room. "why not just give the new person the room after that last room ?" Because there is no such room and all rooms are occupied. "More efficient than calling everyone." No, because it would not work.
@extravagantpanda7962
@extravagantpanda7962 2 ай бұрын
There is no last room: there are infinitely many rooms, and initially all of them are filled. Don't think of it as finding a vacant room for the new guest, that is not what we are doing, and no such room exists. Instead, we are essentially evicting all of the original guests from their rooms, adding the new guest into the pool of guests, then reassigning them to new rooms. Before, we had an infinite set of guests {G1, G2, G3, ...} and we were able to assign them all to unique rooms. Now we have another infinite set of guests {G_new, G1, G2, G3, ...}, but this is just another infinite set just like the previous one, so if we were able to give each guest in the first set their own room, we should be able to do so again with this new set. The takeaway is that adding a single member to an infinite set (or any finite number of members) does not change the "size" of the set.
@Funny-69420
@Funny-69420 7 күн бұрын
“Oh what a beautiful boy! I’m going to name him ABABABABBBBABABAAAAABABABABABABABBBAAAABABABABABABABABABABABABAAABABABABABABABABABABABABABABABABABABABABAABBABA- and it goes on forever.
@laoaidan2400
@laoaidan2400 3 жыл бұрын
“Infinity + 1” is a kid argument i never guessed would be supported by actual math
@Wirgah
@Wirgah 3 жыл бұрын
Most kids probably got it from vsauce so hey
@afo985
@afo985 3 жыл бұрын
@@Wirgah didn't he say infinity plus 1 is also infinity?
@Alt.E32
@Alt.E32 3 жыл бұрын
@@afo985both are infinity but infinity+1 is a higher kind of infinity
@rhynoorhyon5291
@rhynoorhyon5291 3 жыл бұрын
@@Alt.E32 wrong. infinity+1 is still a countable infinity, and therefore infinity. The infinity described in this video with the ABABABBABAB bus was Aleph Null, the first order of uncountable infinities.
@Alt.E32
@Alt.E32 3 жыл бұрын
@@rhynoorhyon5291 honestly i just looked at it this way: If we were both in an infinite race and i started 10 seconds earlier, i would be further ahead of you even if we ran an infinite distance the entire time (granted we ran the same speed consistently throughout). That logic might be flawed though.
@thatoneguy6432
@thatoneguy6432 Ай бұрын
"Hey! We need you to move ro-" *"HELL NO!"* **Hangs up phone*
@NorthOCkook
@NorthOCkook 2 ай бұрын
About a third to halfway thru Veritasium videos is where it starts going way over my head
@MonikasPhantom
@MonikasPhantom 3 жыл бұрын
“I quit” “But you’re the mana-“ “Nope, I quit”
@OliverEye
@OliverEye 3 жыл бұрын
True I did next week
@jaiadit2406
@jaiadit2406 3 жыл бұрын
😂😂😂😂😂😂😂
@bodhiboy1
@bodhiboy1 3 жыл бұрын
I quit
@kristynahladikova8077
@kristynahladikova8077 3 жыл бұрын
1 k like
@orenge-hw9nx
@orenge-hw9nx 3 жыл бұрын
When you have Inifnite mana as a mage in skinder 2
@Pink.hat.monke.
@Pink.hat.monke. 2 жыл бұрын
Shoutout to the architects who built an infinite number of rooms Edit: how did this get so many likes
@AT-tx7gb
@AT-tx7gb 2 жыл бұрын
Nah, architects just sit around and usually make unlogical plans. Thank the construction workers and site leaders
@officialchannel6667
@officialchannel6667 2 жыл бұрын
@@AT-tx7gb ye
@soludiiy
@soludiiy 2 жыл бұрын
@@AT-tx7gb ehh they're still prolly building
@Antwon22
@Antwon22 2 жыл бұрын
And the engineers who designed a building with the load capacity for an infinite amount of weight
@dishward
@dishward 2 жыл бұрын
perhaps an infinite number of architects each built one room
@Aoki85
@Aoki85 2 ай бұрын
At first I thought it was considering for the lifespan of whomever was walking to the next available room, but that quickly went the wayside.
@guillaumelagueyte1019
@guillaumelagueyte1019 3 ай бұрын
Regarding the infinite number of buses with infinitely many people, I like the solution of using prime numbers. First, send guest in room 1 to the 1st prime number, then guest in room 2 to the 2nd prime number, etc. Now all the rooms with prime numbers are occupied, and the others are free. Put the people of bus 1 into the rooms 2^2, 2^3, 2^4, etc., as these aren't prime numbers they're all free. Put the people out bus 2 into the rooms 3^2, 3^3, 3^4, etc. After you do it for all prime numbers, all the powers of prime numbers will be occupied. Bonus, all the rooms with multiple prime factors (e.g. room 15 = 3*5) are now vacant, so you even squeezed some free space out of that trick.
@BobLegoman
@BobLegoman 3 жыл бұрын
*slaps the roof of the party bus* "This bad boy can fit so much ABBA in it"
@plasienorzokie2187
@plasienorzokie2187 3 жыл бұрын
😭😂
@matiasandreupinanaradrigan7862
@matiasandreupinanaradrigan7862 3 жыл бұрын
LOL
@manuelr.7461
@manuelr.7461 3 жыл бұрын
Bruh 😂
@Jameson_TV
@Jameson_TV 3 жыл бұрын
True
@h4nishi
@h4nishi 3 жыл бұрын
😭?
@liber2350
@liber2350 3 жыл бұрын
“This hotel can’t run out of room!” “Yeah but what if it did?”
@thewatchidiot
@thewatchidiot 3 жыл бұрын
....."but it can't tho" "Yeah but what if it DID??" repeat x infinity
@Himoooo
@Himoooo 3 жыл бұрын
No what if just tell them to learn about infinity first 😂
@ethrick.k.1292
@ethrick.k.1292 3 жыл бұрын
Then your question would go on for infinite as so would your doubt of this fact because infinity is as unlimited as the very definition as soon as you recognize how infinity is as it stretches farther than your perception
@laxmanrawat748
@laxmanrawat748 3 жыл бұрын
That's a question for another 'what if'
@mustafabahaj9832
@mustafabahaj9832 3 жыл бұрын
Lol, good one
@TheShislon
@TheShislon 27 күн бұрын
Brilliant explanation.
@thetntsheep4075
@thetntsheep4075 3 жыл бұрын
This must be the world's most inconvenient hotel to stay in. "Sorry sir, could we get you to move down another room please" "What? That's like the infinitieth time!"
@tachzusamm
@tachzusamm 3 жыл бұрын
I would be glad if I don't have to move to double my room number though.
@00_Cupid
@00_Cupid 3 жыл бұрын
Imagine when checking out of the infinite room all the way to the front.
@souheilallegue2342
@souheilallegue2342 3 жыл бұрын
"sorry sir, could you move from room number 40000000000 to room 80000000000 please"
@xeon2k8
@xeon2k8 3 жыл бұрын
infinitiest underrated comment here
@lyrelyreharponfire
@lyrelyreharponfire 3 жыл бұрын
What about the hotel staff? I hope they have infinite amount. They always ask where is the room service but not how is the room service 😔
@morbiusfan3176
@morbiusfan3176 2 жыл бұрын
"Imagine theres a hotel with infinite rooms." "All the rooms are occupied." *[visible confusion]*
@goncalocalqus1766
@goncalocalqus1766 2 жыл бұрын
Exactly my thoughts and I still can't get over it because everything that comes afterwards feels like bs.
@slavetzkyrickyjames4305
@slavetzkyrickyjames4305 2 жыл бұрын
Because it's countable infinity so there's a bijection then an uncountable infinity appeared and it doesn't have bijection which means it won't fit to countable infinity because it's not fixated
@ok4350
@ok4350 2 жыл бұрын
@@slavetzkyrickyjames4305 get out with your math
@opioidhamster3205
@opioidhamster3205 2 жыл бұрын
@@slavetzkyrickyjames4305 tf you mean countable is it really "infinity" then
@last-dinosaur
@last-dinosaur 2 жыл бұрын
@@opioidhamster3205 you gonna understand after you finish the school, probably
@zassylollipop
@zassylollipop Ай бұрын
this is absolute chaos
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