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- เผยแพร่เมื่อ 15 ม.ค. 2014
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The Infinite Hotel, a thought experiment created by German mathematician David Hilbert, is a hotel with an infinite number of rooms. Easy to comprehend, right? Wrong. What if it's completely booked but one person wants to check in? What about 40? Or an infinitely full bus of people? Jeff Dekofsky solves these heady lodging issues using Hilbert's paradox.
Lesson by Jeff Dekofsky, animation by The Moving Company Animation Studio.
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Bus driver: Are there rooms open for my passengers?
Manager: Yesn’t
Thats the imbrogilo!!!
well yes, but actually no.
Seagull i haven't even watched the video yet but funny
Some answer is yes and always yes. Bus driver may be driving a while to get to next open room but it is always there.
Clever :)
Imagine the elevator in that place.
"Hey man, where are you staying?"
"Room 1.949213 x 10^77789"
Maybe they all stay on an infinite 1st floor.
"Oh, you're lucky. I'm staying in room 8.369304720x10^4830382075."
The lift control panel is basically a scientific calculator
@@MrSRMatthews 😂😂😂
They only need a number close to infinity to contain infinity passengers because they will die in their finite life on the infinity long way to their infinity room number.
Imagine being at floor 2194, needing to be at floor 8302, and then seeing that the elevator is currently at 29175, slowly ticking down
And then Buddy the Elf gets into your elevator and presses all of the buttons ...
It will have infinite elevators
@@AA-ni3km :trol:
@@AA-ni3km me whenI have to wait an infinite amount of time because an elf pressed all of the infinite amount of floors buttons, slowly ticking every number that exists
"Maybe there's super mega bombastic ultrasonic fast fantastic elavator that delivers you to any floor instantly" - summer, 2 weeks ago
As someone who has visited this hotel before, I really enjoyed the experience. When I came in, the night manager asked everyone to move to the next room and I went to room 1. There were a lot of complaints cuz it was 4 AM. And then, a million people came in at 3 AM and I had to move to room 1,000,001. The room was in floor 4000, so I wanted to take the elevator. I was trying to find an elevator out of the infinitely many that was at least close to floor 1, but after looking for like 2 hours, the closest one I could find was at floor 5.63 octillion, and the one I was standing next to was at floor 5.68 x 10^178, which was actually relatively close. The hotel tried to fix this problem by making the elevators go at the speed of light, the highest possible speed, but even that won't get you that one elevator that's stuck at 5.63 octillion. So, of course I had to take the stairs..... and as I get there, the manager told me to move to two to the power of my room number which was uh.... room number 1.98 x 10^301030 (according to wolfram alpha). This is going to be a fun journey!
Update: It has been 19 years and I am still at floor 189.23 quadrillion. Help.
underrated comment
bro. Who are you? Einstein the memer coz holy cow thats a great comment!
Eh, you got an infinite amount of time to get there.
Hey are u at your room yet?
@@fmjjjjn7510 Not yet, still stuck in the elevator
“The infinite hotel is full”
Science: *breaks*
thats exactly what i was thinking but then i realized he was talking about alef 0 which is the countable infinite natural numbers.a weird concept
IT IS *ALEF NULL*
Pupper Playlist Night Manager: No it ain’t
XDDD
Infinity=infinity but infinity is also an infinite times more powerful
Now compare this to zero
A wild universe deletion appears!
"One night, the infinite hotel is full"
Me: _"Infinite confusion"_
'One night, the infinite hotel is full with an infinite amount of people'
Brain: 💥
where is the numbers alabnole and Omega?
Asu howwwwwww
Who are those poor women birthing an infinite number of children?
@@LegacyCrono the mothers of the wicked
One night, the unthinkable happens. The night manager walks outside, and sees an infinitely long plane with an infinite amount of passengers crash into the infinite hotel. The hotel collapses into flames, causing an infinite amount of deaths.
And an infinite amount of debris
Breaking news: A second infinite plane has hit the infinite hotel
@@JoseMedina-xq8mf ♾️/♾️
@@JoseMedina-xq8mf breaking news infinite planes are hitting infinite skycraper causing infinite deaths and infinite 9/11
@@ygotsvlog3762 Infinite jet fuel cant melt infinite steel beams
imagine chilling at room no.12 and suddenly you have to move to room 4096 because there are infinite amount of buses with infinite amount of customers outside.. cant even have a hotel room peacefully in ohio 💀
Swag in ohio 😩🤘
lmaooooo
down in ohio
50?
@@thanhtamnguyenthi7073 ?
"Everyone is happy"
Probably not, who would want to constantly be asked to switch rooms?
they switched rooms infinity amounts of times
Even worse, they have to walk infinite amount of stairs
they tell different people to switch rooms
Its an Infinite hotel. Not a five star infinte hotel. You get what you pay for
@@Noah-Runge Sounds like a hotel with negative infinite stars.
"Everyone is happy"
Except the cleaning lady 😂
There's an countable infinite amount of cleaning ladies.
The lady is the 🤖
Infinity Fawlty Towers 😳
...
Guests at 3,141,592,653rd floor:
"We are not satisfied!"
Basil Fawlty shouting very loudly: "Well, people like you never are, are youuu?" 😂
The poor plumber is not very happy either 😂
But she gets infinite money for her job
The most insane part to me is after all that effort, the hotel makes the same amount of money as before all that troubles
I keep coming back to this because I love the animation, I love the concept, and I think an animated series comedy series involving concepts of infinity would be cool.
I agree
"One night, The Infinite Hotel is completely full"
*laughs in mathematics*
To the nth °
Then the infinite amount of passengers use an infinite amount of energy to walk up the infinite stairs in an infinite amount of time.
Then I think of when they need to go to the dining room to eat an infinite amount of food
LOL
Yeah that's my problem, too. If the hotel has got an endless number of rooms, it will never be full. So you can forget the whole experiment.
inifinite hotel cant be full right?
And the night manager is now in depression.
*CRIES IN MATHEMATICS*
"The infinite hotel got full"
Me: Hold up, somethin ain't right
Something's wrong, I can feel it.
Infinite confusion
this theory is wrong the hotel is already FULL with infinite numbers of guest which are = to infinite numbers of rooms he said
@@arslanakram043 Yes, but just if you are considering only the countable infinity. But according to absolute infinity, not.
@@moisesggomes Ahhhhhh right, just clicked, of course, should have spotted it *frantically googles 'countable infinity'*
“The person on the first bus who is sitting on seat number 7 will go to room no. 3^7 AKA room no.2187”
The guy: Hello, are there any available rooms?
Receptionist: Yes, you’re going to room no. 2187. It’s on the 219th floor.
The guy: Uhh…. How long does it take to get there on elevator?
Receptionist: About 38 minutes and 9 seconds.
The guy: Wait… so I have to wait over half an hour in the elevator just to get to my room?
Receptionist: Yes. Oh and we are expecting another infinitely long bus so at 8pm expect to have to go to room no.4374.
The guy: Oh god….
Hey person on the first bus in seat 7, another infinite set of infinite busses has arrived. Please move to room 22521666186739810716017129863546474247925813985186306383480395759255528226899398031271474259176472311138130302909797370563984143657840869015723623128208458564711932390036470899999940399003451938771468124775412134017692556582989981820657376622292117781429636251681663364133246565240603802421309871873386179061056683850002592550658912005406539073633368208169912295100765107813056035892005304712416817301893705332191267615274619407764899319819287315641053762034009508858938727147166108668063720886082155921552955435591503022900749768195878181491707144967461286550140023171580051111358071521188926359524314904062599527129957121490685127011258936786658012354838528. It's on the 2252166618673981071601712986354647424792581398518630638348039575925552822689939803127147425917647231113813030290979737056398414365784086901572362312820845856471193239003647089999994039900345193877146812477541213401769255658298998182065737662229211778142963625168166336413324656524060380242130987187338617906105668385000259255065891200540653907363336820816991229510076510781305603589200530471241681730189370533219126761527461940776489931981928731564105376203400950885893872714716610866806372088608215592155295543559150302290074976819587818149170714496746128655014002317158005111135807152118892635952431490406259952712995712149068512701125893678665801235483853rd floor.
FAX 🤣🤣
I watched this video all the way 9 years ago, back when I was seven. Over the years I'd keep coming back to this video just because of how well presented it is. Here I am today, in my junior year of high school, having just about finished Calculus BC and having invariably dealt with infinity numerous times, watching this video once more. It's a good video.
wow same haha. this video is my childhood, it always feels nostalgic to be here again
Manager: Sir, we'd like to request that you move from Room 1 to Room 2
Guy: No
Manager: Oh
**entire hotel implodes**
A Thanos move no doubt
You could just start from room 2 and ignore room 1
Haha! It is like...imagine that in SW: The Phantom Menace Anakin asks his mother if he can go with Qui Gon Jinn and mother says no.
(Closing music starts immediately) &
THE END..
*entire hotel implodes* infinitely
@@yechankim7713 You could also start from room n+1 and leave everyone where they are
Imagine how annoying it is to constantly get kicked out of your room
Thank you! I couldn't believe nobody else was mentioning this. It would have terrible online reviews. Infinitely bad.
It's okay, they have infinite complimentary mints as well. Totally makes up for having to move yourself and all your stuff over 2,000,000 floors a few times a night.
@@morallyconflictedtortoise6494 😀😆😂🤣
And all that because one mathematic smoked too little weed and thought only infinityth guy can go to infinityth+1 room. Just send newcomer there. You only need infinity of weed as without it he will not find his way.
you actually never get a room you move to room 3? well they actually need you in room 7. And so on
I think if I asked to check in at a hotel and the receptionist asked what my bus seat was, I'd be more than a little concerned
I believe it’s fair to say that in this paradox, we need not worry for the night manager’s predicament because there are infinite ways that he can free up more space giving his seemingly infinitely high level of intelligence and problem solving. One must imagine Sisyphus happy, even if his stone was actually finding vacancy in an infinitely booked hotel.
oh wait.. but what if there are infinite nights with infinite buses of infinite people? or what if there are:
infinite nights, infinite buses of infinite people, infinite rooms, and infinite elevators that only go up to floor n.
Can we just respect the one maid who cleans all the rooms
What if there are infinite maids that look the same
@@TheSewDew Oi!
That's jokes aside a good theory!
No
DOROTA
There's actually an infinite amount of maids
This video should be called "how to lose an infinite amount of brain cells "
😂😂😂😂
I only have 2 though so that’s impossible
@@Lyenati you saying that actually makes me believe you.
Your Kyckling No, it makes sense. You can’t loose an infinite amount if there’s a finite amount.
@@Lyenati Then why did you specify that you had 2 IQ?
Relax and unwind with this soothing lofi track. Perfect for studying, reading, or just chilling out. 📚🎶
I rewatch this video from time to time only bc i like the animations, and hurting my brain
Everyone's chillin' until karen refuses to move to the next room
Profits: *crashes* in a second
The hotel still has room, having infinite space, there will always be more room. So it can’t be full
@@ChrisHinners008 you don’t seem to understand the concept of the paradox. The hotel isn’t generating new rooms or anything like that, an infinite of rooms exist there aren’t new ones when there are new people, so when there are an infinite amount of people they fit in the infinite amount of rooms. You can run out of room if you are working with multiple infinities.
@@zackschaefer my brain is kinda crashing now
imagine infinite amount of karens
everyone gangsta until the manager calls to fix the roof
Impossible.
There is no roof since there are infinite rooms
lol!!!😂😂😂
@@ajaymahajan3890 the roof is still there just infinitely high
Oooooooooo fluck
Imagine walking in at 3:00 AM and realizing you have to go to room 12237863891763892787652
“Banking an infinite amount of dollars”
Inflation: “Do I look like a joke to you”
I rated this Hilbert's hotel 1 star
They kept making me change my room
No matter how you rate the hotel, it will always be a 3-star hotel because average
@@rhamzellibay4098 That's not true, everyone could rate it 1 and it would have an average of 1. Just because there's infinite people doesn't mean that there's infinite possibilities of ratings.
@@ctleans6326 probability assumes infinitely many samples, such as in a dice with 6 faces that has a probability of ⅙ for each face if rolled infinitely many times. It means that in a hotel with a 1/5 chance of choosing numbers from 1-5, all numbers appear infinitely many times. Therefore, all 5's and 1's average to 3, and 4's and 2's average to 3. There's no way you can make infinitely many samples follow the same probability of 1/5 of choosing 1 since (1/5)^∞ = 0.
@@rhamzellibay4098 People rating a hotel isn't exclusively random, some may rate it 5, and some may rate it 1, but every rating isn't equally likely to occur, unless you treat people as dice.
@@ctleans6326 There's no way you can predict how will people rate a hotel because that's their personal preference. There are infinitely many guests so all numbers 1 2 3 4 and 5 rating will also appear infinitely many times, making them equally likely. I'm assuming a more probabilistic scenario lol.
2:55 imagine being in room 50 and suddenly having to move to the quadrillionth room
That would be horrible
Same imagine being in room 100
how would the elevator work if it had infinie buttons
@@felixjaphygaming9115 You would just go to your room. 🙄
with an elevator, of course
I remember watching this video like 4-5 years ago, I had no background in math... Today when I was trying to show Q is countable, I used one of the ideas from the video! Never really realized or understood how important this video was and what kinda technicalities it had!
Very well explained and good illustration
Builder: how many floors do you want?
Manager: *yes*
Underrated
~infinity~
Wait wouldint it get destroyed by the sun or it will stop at the max build high
Back Huat Lee lol I never thought of that
forget about the manager
THE CLEANER HAS TO CLEAN AN INFINITE AMOUNT OF ROOMS
Omg
A maids Nightmare for sure :) Peace
There are infinite cleaners
Naw it’s cool, they got an infinite wait staff
@@jimiplayscobo5877 I can imagine smile ✌️
nice lesson, but the poor night manager. ever since that one dude came in when the hotel was full, he's been asking the next and next guest to move to the next and next room. there's no stopping -- he's going to be asking the next guest to move to the next room for eternity and never see his family again. this is his life now.
Note to myself: Always book room number 0. So I won't get kicked out.
Except it doesn't exist in that hotel because all the rooms are natural numbers, therefore integers 1 and up.
Wouldn’t Room 0 just be the lobby
u would get kicked out at the n+1 and the cycle continues
That’s the lobby!
Its the lobby!
_"The Infinite Hotel Room is full"_
*Task failed successfully*
:)
:)
:)
:)
:)
"The Infinite Hotel Room is full"
Brain.exe has stopped working.
Every room has a guest, so it' s full.
Its funny how the "infinite" hotel only has one employee
Hidde Lekanne Deprez but then they move to the next room, which apparently didn’t exist
@@epicgaming7813 I admit that this video does a terrible job at explaining the problem and is basically one big inside math joke for the people who already know the problem.
It's a mapping problem, if you map person 1 to room 1, aka n to n then you know every room will be full. but if you map person 1 to room 2, aka n to n + 1 you know that room 1 will be empty (since there is no person 0). Intuitively you would eventually run into a problem: since both sets are infinite, thus equally large, that when the mapping is unequal (n+1) you run out of rooms before you run out of people. But that's where infinity comes in, both sets don't have an ending so this problem can't occur. Thus as long as you can find a mapping which assigns each person an unique room number you're allowed to fill whatever rooms you know won't be mapped to with whatever you want :p
To give an advanced example: I can say person 1 gets room 2, aka n to n * 2, and I have 1 free room for ever empty room, but the set is still infinite, meaning I have both infinite amount of full rooms and infinite amount of empty rooms. Intuitively I just created a "bigger" infinity with this mapping but mathematicians didn't find this distinction useful so we use other methods to compare infinities in size.
Hidde Lekanne Deprez I’m sorry I’m too lazy to read all that oof
I’ve been in love with this the first time I saw it
same
Where mathematics meet poetry. I still come back to this video once in a while for the sole purpose of taking a small hike in some high altitude vale of wonderment.
"Everyone's happy. and the hotel's business is booming more than ever."
*Angry maid walks by*
This hotel has infinity maids
@@arnold8248 who work an infinite number of shifts for an infinite amount of time.
Also no retirement.
I’m feeling like the maid being like 🤬🤯👺👹💩
Infinite maids!
Infinite hotel? *_Trivag∞_*
@DaFragileTomato yes it is
@DaFragileTomato its infinitely underrated
Best comment ever
You got me there 😂
bendydick cumonmyback best username ever
"the infinite hotel is full"
math: moye moye
I think that it’s only relatively full. From that initial perspective. When there comes more than one infinite of people that are already booked the space is automatically generated to fit the people that arrived. If that infinity that is full cannot fit more people it wouldn’t be infinite.
(I will contradict myself: if you have an infinite big water bottle that is filled, can there be added more water to it? Can that water bottle be stretched to be able to contain more water? If it’s full then that means that there shouldn’t be more space without deforming the first reference system……) This is how I’d imagine a closed infinity system…..
😭😭😭I can't
After this extraordinary performance, the night manager was given a raise and now makes 7.50/hr from 7.25
"And then, he named hotel "inn-finity""
That is clever.
Underrated.
Ah, I see what you did there.
Watch this comment be the first one with the most likes
I don't get it :(
You start off understanding and following the video, and then eventually trail off and end up in the comments
Damn! You a mind reader?
It doesn't make any sense. If it was an infinite hotel it couldn't be full
Infinity isn’t a measurable quantity, it’s only a hypothetical idea. To put it simply, infinity does not exist in real life, as everything can be quantified and infinity by definition cannot be quantified. There are extremely large numbers, like the number of atoms in the universe, but no infinity, it only exists in our heads.
literally
Sheepy. Exactly what I done! 😂
imagine taking an elevator to the final floor 💀
Um that would take infinite time? 💀
AAAAAA
this hotel has no final floor because there are infinitely many :D
Do you know what infinity is?
"Square root rooms, like room radical 2, and room pi, where the guests expect free desert"
Best line.
Fun facts: If a man jumps off the top of this building,it will take him infinite amount of time to land
Fun Fact: it is impossible to jump off the top of this building since it is infinitely high so there is no top.
A: Suicide is impossible
B: Flying is now possible
"What happened to him?"
"He died of thirst"
I mean u can never go that high , eventhough u did and jump u will fall and not fall at the same time.
@@martonferenczi7894 There is a top. it just takes an infinite amount of time to reach it.
Imagine waiting for the elevator of this hotel...
Infinity time
No tension! The hotel has infinite numbers of elevators 😉
There should be infinite number of elevators
Its fast as light
@Chim Chim Genie maybe it's not a button for each floor but rather one keypad where you input floor numbers?
Anyone else who is watching this video for years instead of going to therapy. Cause this is so therapeutic 😭🙌🏻
Are you talking about the guys voice? I think his voice is the best Ted ed has.
This channel makes exquisite content with the highest order. To that, I truly thank you for this remarkable channel. With fluid animations and easy explainations, this channel has made me into a being you cant fathem. I will gladly share this with my future children as it will help them grow into knowledgable human beings. Thank you for this wonderful content.
Sincerely,
A being from the UK
Nice
Don't copy MrBeast (reply to me)
For a moment I thought you were one of those fake Mr. Beast bots
R U REAL? I LOVE MR BEAST PLS
You misspelled “fathom”
Legend has it, He works for TRIVAGO now.
Hotel?
Trivago
😁
Hotel? Trivago.
😂😂😂😂😂
Teacher: "The homework isn't that complicated"
The homework:
underrated
i'd rather drop out
This is not complicated 😅
No caps, this is actually my homework.
@@mish4272 Same, BA1 MT at EPFL and this is part of my Computer Science homework
Imagine coming to this hotel with infinite rooms and still not getting a room
When you come in with an infinite amount of others, each with a infinitely long name consisting of a and b.
Binary: Allow me to introduce myself
AAAAAAAAAAAAAAAAAAA.................= 11111111111111111111111.............
BBBBBBBBBBBBBBBBBBBBB..............=0000000000000000000...........
"HE MIGHT LOSE HIS JOB"
Isn't he already gonna lose his job because hes constantly kicking guests out of their room?
But he makes infinity dollars a night who cares if he loses his job
@@user-ws5ei9zf8p no job means no profit means no money means no infinitu dollars
@M. Woller have you read the fault in our stars, "Some infinites as bigger than other infinites" #)
He's just on an infinite amount of weed
After one paycheck he can retire
Elevator: *stops working*
People in the 999.999.999.999.999 floor: ö
ö
Ö
The 999.999.999.999.999 people: "I'll just take the stairs."
Jump™
*ö*
You can checkout anytime you like ... But you can never leave!
In case anyone’s confused: ‘n’ is the position number. So n+1 = position number + 1. So if the first room is Room 1 + 1= Room 2. Room 1 is the ‘nth’ term. So if someone asks for Room 18, you can just say 18+1= 19
Yeah and that's making the assumption that only one person can stay in each of the countable Infinity amount of rooms but instead if the limit was 5 people in a room out of the accountable Infinity amount of rooms then the hotel would store about countable Infinity 5 amount of people
TED-Ed : The infinity hotel is full
Me:
Excuse me, wtf
Ahahahaha true
because it's countably Infinite
淼淼 8 Billion is countable
Yes, i really don't understand the first problem
it's one-to-one and onto, so that's why an infinity hotel can be full, one person for one room each
IM SORRY BUT YOU LOST ME AT "THE INFINITE HOTEL IS FULL".
Isn't that a paradox in itself?
An infinite number of rooms should mean there's always an infinite number of vacant rooms.
...but an infinite number of guests should mean there should never be an empty room.
But you found me again at infinite profit
See ya in the alternative universe!
@@Dhakadice In math an infinite number of people occupying an infinite number of rooms would have an undetermined outcome, as in math the outcome of infinite - infinite = undetermined
@@Dhakadice There is no paradox. Infinity is infinity.
The infinite hotel with infinite guests would always be full. BUT
There would always be room for an infinite number of new arriving guests. Since it is the infinite hotel.
-Hello! So the hotel is completely full?
-yes
-may be room 7 available?
-nope!
-room 1876544?
-occupied!
-room 7262545277272722727?
-no luck!
-room n?
-you wish!
-room n to the n power
-nope.
-THAN WHAT IS ALL THAN NONCENCE ABOUT MOVING PEOPLE INTO THOSE OCCUPIED ROOMS?
Congratulations. That is why this thought experiment is for people who can't tie the shoelaces on both of their shoes.
I find Mathematics so interesting unless I don't have to appear for the exam!
Job: night manager in a hotel
Requirements: PhD in applied mathematics
@@TJYuh32 expenses: infinite $ per hour
@@TJYuh32 Additional requirements: Must be capable of sorting out an infinite number of people within 24 hrs.
@@jasonchiu272 8-12*
seriously suggested:: ability to complete supertasks
Lmao
@@TJYuh32 per nano sec
Ok but if the hotel is infinite, would it even get full it the first place
+Jess Express why wouldn't it? there's an infinite amount of guests
the hotel room is infinite, and each room is occupied. therefore, the number of hotel guests is infinite
hilbert hotel is basically another way of saying that infinity +1 = infinity
+Jess Express IMO, the first problem is assuming that a hotel with infinite rooms wouldn't take up all the space in the universe to accommodate space to build roads so that buses can bring in more guests. A hotel with infinite amount of people would automatically contain all people as the video introduces the paradox that the hotel is "full" while at the same time not. In the video's final solution, the hotel also has an infinite number of empty rooms as only multiples of primes are filled, so why couldn't the hotel be in that state from the beginning? The video's argument defeats its own premise for its argument and all the math involved is nullified.
+Jess Express No it wouldn't, and that's the point behind the hypothetical scenario of the infinite hotel, there are so many technical loopholes; essentially making the point of how hard it is to really grasp the concept of infinity.
+clock san It seems to me that since infinity+infinity+infinity...etc=infinity, he doesnt need any new solutions for more infinite numbers of guests. Infinite rooms are enough for an infinite amount of buses with each infinite amounts of guests.
Sayuas nope, it doesn't work that way. infinities interacting with each other in the basic mathematical operation is a big no no.
that means, infinity plus/minus/times/divided by infinity can't work. you have to use another solution. well, at least in calculus. i've no idea how it is in a more advanced mathematics.
did you know that some infinities are bigger than the other? yup, it's confusing. and that is the entire point of hilbert hotel. infinity is such a hard concept to grasp because of how counter intuitive it is
Can we stop to appreciate how much calculation the receptionist Has to do?
The first video from Ted-Ed that fails to teach me something that I was supposed to grasp from middle school.
"The hardworking night manager" looks like the cleaning lady has to work harder
nah, they hired an infinite number of cleaning works for their infinite cleaning crew
@@themanguy2110 Should've hired Infinite Managers
@@themanguy2110 An infinite number of cleaning ladies is clearly too much, while a finite number is ridiculously low. I guess the Head Manager is having a hard time too
@@jeanllup6150 I think we should hire half of infinity (before you say anything I know what that means)
@@clairdeloona how do you get half of something that isn't countable
Then one day the unthinkable happens:
All the guests leave this awful clearly understaffed, hotel because they're tired of changing rooms every five minutes. The night manager loses his job and is replaced by a new manager who shuts off every floor after the fourth one- turning the hotel from a rickety, vertigo inducing, nightmare to a fairly normal hotel.
The money that was previously spent on feeding and caring for an infinite number of guests is spent on refurbishing the place and it soon reopens as one of the poshest hotels in the country.
+Cheeseanonioncrisps With the hotel previously having an infinite amount of money, it would be the poshest, finest hotel in the country
+Will Evans Well you'd have to spend the infinite money just to bring down the infinite amount of rooms you don't want to keep.
+Cheeseanonioncrisps Applause.
+THEPELADOMASTER or, you can just board up the door to anything above the 4th floor and not worry about stuff rotting or the infinity rooms getting unstable because you are in corporate america and why spend money on doing something where there is a cheap fix?
Mariana Caplan Just imagine the infinite floors falling down because the whole structure gave in
Love to watch it every morning 😅
For people who are confused, you can't just make the newcomers go to the "new room" because they are fully booked and infinite guests bcs then they wouldn't go to their room
This thought project is invalid if "every" room is full. If every room is full then no room is empty and therefore the newcome will by no means rightly receive accommodation without evicting someone else.
@@sola2943No one needs to be evicted, you do not get it. The idea is that because this is a hotel with infinite rooms you can just *make* infinite empty rooms by moving your guests to the next room(according to whatever strategy). The reason why the next room would be empty is because the guest in that room would move to the next room; leaving the room they were just in unoccupied. This process is the same for the guest in the next room and guest in the room after that and so on. This goes on infinitely, countably infinite. If you do not understand, research countable infinity and what exactly its existence means. I recommend watching “Infinity is bigger than you think-Numberphile” on TH-cam.
So basically the hotel guests are simply getting kicked out for an infinite amount of times ( ͠° ͟ʖ ͡°)
Yeah, this hotel deserves a rating of 1/∞
Ali Raza why not Negative Infinity?
@@raynerfr How to losing your braincell
Ice Pumpkin I’m sorry, what?
@@raynerfr can u count negative in finity to infinity?
Ice Pumpkin uhhhh, no? It’s literally impossible to count to negative/infinity
“He could lose his job”
bruh he makes infinity dollars are you on weed
you can watch my maths videos.
I always hear "on crack" but never "on weed" 😂
Hahahaha
Rincoglionito, if he loses his job, he'd lose an infinite amount of money
exactly, he has an infinite amount of money so that doesn't matter it's not like his Boss is going to take his money back if he quits
That seems like a simple solution until the old lady from room 2 refuses moving to room 3
Great video!
The real paradox is how there’s still some sort of economy after this single man gained infinite money
Because everyone works for the manager .
Donovan Reynolds whatever country this is both has a GDP of infinity, a GDP per capita of infinity, and a GINI of 100.
Because he has cheats on
Manager
@@abrahampowell6792 HESOYAM
I love how you have to walk to walk to walk 10000 floors or more up because an infinite number of busses with an infinite number of people came into the hotel and the hotel doesn't have elevators
Edit:also the room service needs a vacation they have been walking since the big bang
“Countably Infini- you know what I think that’s enough for today
Builder: how many floors would you like manager: yes
Yes
Builder : how many floors would you like ?
Manager : how many bread did you eat in your life
666 likes
Legend says they are still building to this day
minus 111 likes please
why is no one talking about how pissed the cleaning lady looks edit: wtf nearly 5k likes?!?!
oh she's not pissed because of the infinite number of room she has to clean by 3pm. she enjoys her job and is thankful to have it.
no, she pissed her young and irresponsible but infinitely gorgeous niece called in sick yet again this week. and she knows for damn sure her niece is not sick; she's going out again with her going-no-where boyfriend of her's who says he is a "day trader".... whatever that is! good for nothing so-and-so.
* angry cleaning lady noises *
Cause we left you for that
You must be talking about consuela
We need infinite number of ladies for cleaning job
How about the barman? The first guest orders a pint of beer, the second orders half a pint, the third orders a quarter of a pint and so on, so the barman just pours two pints
The Night Manager gets the NOBEL PRIZE in Front Office Management 😂😂😂
legends says the guests are still moving to the next room
HAHAHAAHA
Just add infinite amount of newcomers. It will result in making +1 operation every time new guest arrives, but due to newcomers being infinite number of operations would be infinite.
Math says so to
Yes R, they r
they need to be
Worker: Sir, you have to go to room 1,605,546,491,106,999,545,694,136,742,623,645,786,434,205,316,1405,000,000,000,000.
Me: *say sike right now*
SIKE THATS THE WRONG NUMBER
Renewin Celestian 😂
Or 1.6055465e+61
How do I read this?😂
Technically it could still be way worse
It all goes smooth until Karen refuses to leave her room
So here from infinite no. Of places in infinite no. Of roads in infinite no. Of vehicles with infinite no. Of people wishing to stay infinite hotel and ends up moving from one room to another and getting annoyed, that infinite no. Of people start fighting and soon the fight enlarges and infinite no. Of people get violent while fighting and there is infinite amount of blood all over the hotel ( poor lady working there *) and they keep fighting and start killing each other and eventually they end up smashing things around and the hotel crashes down and also leads to the damage of infinite building surrounding it leading to infinite no. Of deaths
Lesson learnt: don’t go crazy…..
This is a lie. You can only build 256 blocks high.
Who said you had to build vertically
Andrew Hernandez NANI?!??
Oh yeah
Well, it’s obviously not real. Don’t think too much into it
Cyan Plush Captain
Wh- Oh. Oh. _Oh._
*_OHHHHHHH_*
Mathematician: "All the math works out."
Hotel Company: "Ok sounds good, let do it!"
The Architect: *Visible terror*
omg this comment is gold why doesn’t it have 10k likes sksksksskskk
@@axlychee3113 shut up
The engineer : had a stroke and died
@@CJ-ow2ld Imagine the elevators!
Elevator: I can get you to your room in 3-5 business days
Mind tickling.
直感に反するが分かりやすい例え
I lost an infinite amount of braincells after watching this
same
Opposite
@@andrewcheng1948
*B I G*
*B R A I N*
*T I M E*
One thing. Imagine being on the bus. Just came back from a exhausting flight, "everyone check your seat number.
*Looks at seat
*Reads seat number, 1,368,075,146
"Ok mom were staying here forever"
Top 25 Most ? Video's aaahhhh
"The infinite hotel is full" I'm sorry w h a t
T h e WHAT?
W h a t
professor snape Which is exactly what's imploding my brain
Well the reason is that also the number of guests is infinite
@@mahernurhussen2398 but infinite minus infinite is 0 like 1 minus 1 is 0
Just from my understanding it seems like the difficulty lies in how to catagorize infinite number systemetically
Technically, an infinity is unlimited but the only limitation is our thinking about the limitation…. That doesn’t make the infinity less of an infinity if we cannot comprehend it….. 😅
The comment section is more horrifyingly complicated than the video itself
Imagine staying at a hotel and the guys asks you to move to room 2 to 36 power
Wyatt you would move to room 68.719.476.736
maybe the elevator is infinitely fast
@@caiooctavio yes, but with infinite floor you could never reach anywhere
*You could never reach the truth**
@@thebookless3381 ohshitthat'sdeep
"The infinite hotel is full"
"He makes infinite money a night"
"He'll lose an infinite amount of money tonight and lose his job"
The logic is killing me
Thats because of Infinite expenses.
Infinite is an intensified number.
Infinite-Infinite=Undefined.
Thats why the Boss is going to be angry if the manager is unable to accommodate more guests
@@keikoauddy But you dont need to minus infinite because the hotel owner doesnt have to pay the customers who dont get a room. It would be infinite+infinite if he got them a room.
@@manuthemlg6489 No!! Why would he pay the customers!! He will have to pay the employees. And the employees are infinite
@@keikoauddy Oh yeah if there are infinite employees thats infinite minus. I see.
This Infinite Hotel is still not full if there still room number n+1.
They don’t need to ask the guest to move to the next room, cause the goddamn room number n+1 is still available
This mathematician is lack of logic, this is why Language Knowledge is above.
Imagine Thanos’s confusion when he snaps away half of human life, let’s say emptying all the odd floors, then everyone moves from floor n to n/2, filling the hotel again
When a scientist included "infinite" in an equation or theory, he must be drunk
It’s funny how I thought i might be able to understand this
DJ Stone Productions Hahahaha sameeeee
Jessica Suchy freal 😂😂😂💀😭
Im So Smart so i dont know what is there hard to understand So probably you still understood more than me
😂
Same
day 10 of quarentine : I don't know what i am watching anymore ....
🤣🤣🤣🤣🤣
Same maaan same
helpmre
I have stayed at home for 2 months YaY.
This one is suggested by one of my friend 😂