“The infinite hotel is full” Science: *breaks*

@averagesoul8256

4 жыл бұрын

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

@bennytan5017

4 жыл бұрын

IT IS *ALEF NULL*

@mochidoesart3481

4 жыл бұрын

Pupper Playlist Night Manager: No it ain’t XDDD

@jaysondavis9693

4 жыл бұрын

Infinity=infinity but infinity is also an infinite times more powerful Now compare this to zero

@laststand1618

4 жыл бұрын

A wild universe deletion appears!

Imagine how annoying it is to constantly get kicked out of your room

@tomlever

4 жыл бұрын

Thank you! I couldn't believe nobody else was mentioning this. It would have terrible online reviews. Infinitely bad.

@morallyconflictedtortoise6494

4 жыл бұрын

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.

@tomlever

4 жыл бұрын

@@morallyconflictedtortoise6494 😀😆😂🤣

@Petaurista13

4 жыл бұрын

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.

@5-minutetalkshow263

4 жыл бұрын

you actually never get a room you move to room 3? well they actually need you in room 7. And so on

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.

@thatmuffinguy3692

11 ай бұрын

underrated comment

@abhyudaykaushik9669

10 ай бұрын

bro. Who are you? Einstein the memer coz holy cow thats a great comment!

@benwills7343

10 ай бұрын

Eh, you got an infinite amount of time to get there.

@fmjjjjn7510

9 ай бұрын

Hey are u at your room yet?

@RobloxKid123

9 ай бұрын

@@fmjjjjn7510 Not yet, still stuck in the elevator

Imagine being at floor 2194, needing to be at floor 8302, and then seeing that the elevator is currently at 29175, slowly ticking down

@AA-ni3km

Жыл бұрын

And then Buddy the Elf gets into your elevator and presses all of the buttons ...

@mohakmotwani4427

Жыл бұрын

It will have infinite elevators

@itzwindows

Жыл бұрын

@@AA-ni3km :trol:

@spikepowir

Жыл бұрын

@@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

@taskfailedsuccesfully738

Жыл бұрын

"Maybe there's super mega bombastic ultrasonic fast fantastic elavator that delivers you to any floor instantly" - summer, 2 weeks ago

"Everyone is happy" Except the cleaning lady 😂

@C4_Shaf

4 жыл бұрын

There's an countable infinite amount of cleaning ladies.

@zeeliang7828

4 жыл бұрын

The lady is the 🤖

@Bjowolf2

4 жыл бұрын

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?" 😂

@Bjowolf2

4 жыл бұрын

The poor plumber is not very happy either 😂

@davidvorano3904

4 жыл бұрын

But she gets infinite money for her job

Bus driver: Are there rooms open for my passengers? Manager: Yesn’t

@sazidmohammad2374

4 жыл бұрын

Thats the imbrogilo!!!

@nuttskippy6293

4 жыл бұрын

well yes, but actually no.

@yarenkurtulus

4 жыл бұрын

Seagull i haven't even watched the video yet but funny

@scallywag1716

2 жыл бұрын

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.

@calik.5094

2 жыл бұрын

Clever :)

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.

@dumbreon_plays2139

Жыл бұрын

And an infinite amount of debris

@JoseMedina-xq8mf

Жыл бұрын

Breaking news: A second infinite plane has hit the infinite hotel

@silverthewitchdoctor8262

Жыл бұрын

@@JoseMedina-xq8mf ♾️/♾️

@ygotsvlog3762

Жыл бұрын

@@JoseMedina-xq8mf breaking news infinite planes are hitting infinite skycraper causing infinite deaths and infinite 9/11

@JoseMedina-xq8mf

Жыл бұрын

@@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 💀

@ofakind-qq7sz

Жыл бұрын

Swag in ohio 😩🤘

@NetherFrog

Жыл бұрын

lmaooooo

@core609

Жыл бұрын

down in ohio

@thanhtamnguyenthi7073

Жыл бұрын

50?

@NetherFrog

Жыл бұрын

@@thanhtamnguyenthi7073 ?

"One night, the infinite hotel is full" Me: _"Infinite confusion"_

@crystallava5002

4 жыл бұрын

'One night, the infinite hotel is full with an infinite amount of people' Brain: 💥

@andro.txt0

4 жыл бұрын

where is the numbers alabnole and Omega?

@jeank2323

4 жыл бұрын

Asu howwwwwww

@LegacyCrono

4 жыл бұрын

Who are those poor women birthing an infinite number of children?

@carloalbertopirastru9503

4 жыл бұрын

@@LegacyCrono the mothers of the wicked

everyone gangsta until the manager calls to fix the roof

@purpleapple4052

3 жыл бұрын

Impossible.

@ajaymahajan3890

3 жыл бұрын

There is no roof since there are infinite rooms

@ripudamansingh4229

3 жыл бұрын

lol!!!😂😂😂

@Noname-67

3 жыл бұрын

@@ajaymahajan3890 the roof is still there just infinitely high

@somebody1870

3 жыл бұрын

Oooooooooo fluck

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.

@yellowstarproductions6743

3 ай бұрын

I agree

Can we just respect the one maid who cleans all the rooms

@TheSewDew

3 жыл бұрын

What if there are infinite maids that look the same

@nicolaidisnicolareis4839

3 жыл бұрын

@@TheSewDew Oi! That's jokes aside a good theory!

@steven401ytx

3 жыл бұрын

No

@shernandez6639

3 жыл бұрын

DOROTA

@noa1175

3 жыл бұрын

There's actually an infinite amount of maids

Imagine the elevator in that place. "Hey man, where are you staying?" "Room 1.949213 x 10^77789"

@inneropinion6572

3 жыл бұрын

Maybe they all stay on an infinite 1st floor.

@estebson

3 жыл бұрын

"Oh, you're lucky. I'm staying in room 8.369304720x10^4830382075."

@MrSRMatthews

3 жыл бұрын

The lift control panel is basically a scientific calculator

@venkatasriharsha5911

3 жыл бұрын

@@MrSRMatthews 😂😂😂

@Ken-vz1gl

3 жыл бұрын

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.

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.

@irsaa.3473

28 күн бұрын

wow same haha. this video is my childhood, it always feels nostalgic to be here again

“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….

@jensentota

Жыл бұрын

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.

@SpaceGuyTDG810

Жыл бұрын

FAX 🤣🤣

"One night, The Infinite Hotel is completely full" *laughs in mathematics*

@billyandrew

5 жыл бұрын

To the nth °

@figsenjoyer

5 жыл бұрын

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

@thomasbraun6097

5 жыл бұрын

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.

@mayoiga9178

5 жыл бұрын

inifinite hotel cant be full right?

@HuyenPhan-ir2wo

5 жыл бұрын

And the night manager is now in depression. *CRIES IN MATHEMATICS*

"The infinite hotel got full" Me: Hold up, somethin ain't right

@Ambersworstenemy

3 жыл бұрын

Something's wrong, I can feel it.

@shintyty

3 жыл бұрын

Infinite confusion

@arslanakram043

3 жыл бұрын

this theory is wrong the hotel is already FULL with infinite numbers of guest which are = to infinite numbers of rooms he said

@moisesggomes

3 жыл бұрын

@@arslanakram043 Yes, but just if you are considering only the countable infinity. But according to absolute infinity, not.

@sigoy

3 жыл бұрын

@@moisesggomes Ahhhhhh right, just clicked, of course, should have spotted it *frantically googles 'countable infinity'*

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.

@vincentjiang6358

Ай бұрын

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.

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

"And then, he named hotel "inn-finity""

@twitterusersarefreakingstu2200

4 жыл бұрын

That is clever.

@exilley2134

4 жыл бұрын

Underrated.

@leonardodiserpierodavinci8016

4 жыл бұрын

Ah, I see what you did there.

@Neyobe

4 жыл бұрын

Watch this comment be the first one with the most likes

@Nathan-Croft

4 жыл бұрын

I don't get it :(

"Everyone is happy" Probably not, who would want to constantly be asked to switch rooms?

@cristiangomes6101

3 жыл бұрын

they switched rooms infinity amounts of times

@MercurialMoon

3 жыл бұрын

Even worse, they have to walk infinite amount of stairs

@arafe.1012

3 жыл бұрын

they tell different people to switch rooms

@Noah-Runge

3 жыл бұрын

Its an Infinite hotel. Not a five star infinte hotel. You get what you pay for

@Cyberaser

3 жыл бұрын

@@Noah-Runge Sounds like a hotel with negative infinite stars.

Relax and unwind with this soothing lofi track. Perfect for studying, reading, or just chilling out. 📚🎶

Imagine walking in at 3:00 AM and realizing you have to go to room 12237863891763892787652

_"The Infinite Hotel Room is full"_ *Task failed successfully*

@danyagrigoriev292

4 жыл бұрын

:)

@yoona462

4 жыл бұрын

:)

@kittycake1294

4 жыл бұрын

:)

@jonyprepperisrael60

4 жыл бұрын

:)

@jonandres2975

4 жыл бұрын

:)

Builder: how many floors do you want? Manager: *yes*

@faraz259

4 жыл бұрын

Underrated

@user-km5ok4gt6v

4 жыл бұрын

~infinity~

@someguywithahecktonofcomme9154

4 жыл бұрын

Wait wouldint it get destroyed by the sun or it will stop at the max build high

@lisabakker7288

4 жыл бұрын

Back Huat Lee lol I never thought of that

I rewatch this video from time to time only bc i like the animations, and hurting my brain

I’ve been in love with this the first time I saw it

@liam.28

13 күн бұрын

same

Everyone's chillin' until karen refuses to move to the next room

@Healthandwealth9422

3 жыл бұрын

Profits: *crashes* in a second

@ChrisHinners008

3 жыл бұрын

The hotel still has room, having infinite space, there will always be more room. So it can’t be full

@zackschaefer

2 жыл бұрын

@@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.

@tricklander87

2 жыл бұрын

@@zackschaefer my brain is kinda crashing now

@oshiriz6486

2 жыл бұрын

imagine infinite amount of karens

Manager: Sir, we'd like to request that you move from Room 1 to Room 2 Guy: No Manager: Oh **entire hotel implodes**

@MisterGn0me

4 жыл бұрын

A Thanos move no doubt

@yechankim7713

4 жыл бұрын

You could just start from room 2 and ignore room 1

@boubander9917

4 жыл бұрын

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..

@hooankee

4 жыл бұрын

*entire hotel implodes* infinitely

@Dennis19901

4 жыл бұрын

@@yechankim7713 You could also start from room n+1 and leave everyone where they are

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!

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

@rahulkulk745

Жыл бұрын

Nice

@StopTheUTTP

Жыл бұрын

Don't copy MrBeast (reply to me)

@fandroid6491

Жыл бұрын

For a moment I thought you were one of those fake Mr. Beast bots

@madelynb2189

Жыл бұрын

R U REAL? I LOVE MR BEAST PLS

@gokulwarrier2648

11 ай бұрын

You misspelled “fathom”

Imagine waiting for the elevator of this hotel...

@asheekarizqiirhamna4105

4 жыл бұрын

Infinity time

@ishansharma7909

4 жыл бұрын

No tension! The hotel has infinite numbers of elevators 😉

@batoulabbad1755

4 жыл бұрын

There should be infinite number of elevators

@Mn12074

4 жыл бұрын

Its fast as light

@nicbentulan

4 жыл бұрын

@Chim Chim Genie maybe it's not a button for each floor but rather one keypad where you input floor numbers?

"HE MIGHT LOSE HIS JOB" Isn't he already gonna lose his job because hes constantly kicking guests out of their room?

@user-ws5ei9zf8p

4 жыл бұрын

But he makes infinity dollars a night who cares if he loses his job

@serowan

4 жыл бұрын

@@user-ws5ei9zf8p no job means no profit means no money means no infinitu dollars

@krishafyme

4 жыл бұрын

@M. Woller have you read the fault in our stars, "Some infinites as bigger than other infinites" #)

@lukeswift6106

4 жыл бұрын

He's just on an infinite amount of weed

@kek848

4 жыл бұрын

After one paycheck he can retire

Note to myself: Always book room number 0. So I won't get kicked out.

@Tiqerboy

Жыл бұрын

Except it doesn't exist in that hotel because all the rooms are natural numbers, therefore integers 1 and up.

@mr.lejend1825

Жыл бұрын

Wouldn’t Room 0 just be the lobby

@blackretsu7452

Жыл бұрын

u would get kicked out at the n+1 and the cycle continues

@anthonybenci9035

Жыл бұрын

That’s the lobby!

@nothingmuch1039e9

Жыл бұрын

Its the lobby!

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.

forget about the manager THE CLEANER HAS TO CLEAN AN INFINITE AMOUNT OF ROOMS

@FuriouzJeth

4 жыл бұрын

Omg

@jimiplayscobo5877

4 жыл бұрын

A maids Nightmare for sure :) Peace

@tmounidharan

4 жыл бұрын

There are infinite cleaners

@lt.spookycarrot1925

4 жыл бұрын

Naw it’s cool, they got an infinite wait staff

@kylegregory2876

4 жыл бұрын

@@jimiplayscobo5877 I can imagine smile ✌️

"Everyone's happy. and the hotel's business is booming more than ever." *Angry maid walks by*

@arnold8248

5 жыл бұрын

This hotel has infinity maids

@andrewt.7555

4 жыл бұрын

@@arnold8248 who work an infinite number of shifts for an infinite amount of time. Also no retirement.

@snockos6263

4 жыл бұрын

I’m feeling like the maid being like 🤬🤯👺👹💩

@ashupashu5559

4 жыл бұрын

Infinite maids!

Very well explained and good illustration

imagine taking an elevator to the final floor 💀

@kimhyejin3939

Жыл бұрын

Um that would take infinite time? 💀

@littleantukins4415

Жыл бұрын

AAAAAA

@thatsreeeal

Жыл бұрын

this hotel has no final floor because there are infinitely many :D

@dieselboy.7637

Жыл бұрын

Do you know what infinity is?

The real paradox is how there’s still some sort of economy after this single man gained infinite money

@petegrusky2715

5 жыл бұрын

Because everyone works for the manager .

@CC-hx8gj

5 жыл бұрын

Donovan Reynolds whatever country this is both has a GDP of infinity, a GDP per capita of infinity, and a GINI of 100.

@abrahampowell6792

5 жыл бұрын

Because he has cheats on

@frederickang7058

5 жыл бұрын

Manager

@fldsfmfr8277

5 жыл бұрын

@@abrahampowell6792 HESOYAM

This video should be called "how to lose an infinite amount of brain cells "

@alieninwonderworld

4 жыл бұрын

😂😂😂😂

@Lyenati

4 жыл бұрын

I only have 2 though so that’s impossible

@YourKyckling

4 жыл бұрын

@@Lyenati you saying that actually makes me believe you.

@Lyenati

4 жыл бұрын

Your Kyckling No, it makes sense. You can’t loose an infinite amount if there’s a finite amount.

@YourKyckling

4 жыл бұрын

@@Lyenati Then why did you specify that you had 2 IQ?

Anyone else who is watching this video for years instead of going to therapy. Cause this is so therapeutic 😭🙌🏻

@avivastudios2311

Жыл бұрын

Are you talking about the guys voice? I think his voice is the best Ted ed has.

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

@DavidMuri-rm4ym

8 ай бұрын

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

Job: night manager in a hotel Requirements: PhD in applied mathematics

@wandering2320

2 жыл бұрын

@@TJYuh32 expenses: infinite $ per hour

@jasonchiu272

2 жыл бұрын

@@TJYuh32 Additional requirements: Must be capable of sorting out an infinite number of people within 24 hrs.

@frost_co

2 жыл бұрын

@@jasonchiu272 8-12* seriously suggested:: ability to complete supertasks

@jestfullgremblim8002

2 жыл бұрын

Lmao

@mrcricket275

2 жыл бұрын

@@TJYuh32 per nano sec

Ok but if the hotel is infinite, would it even get full it the first place

@clocksan9553

8 жыл бұрын

+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

@cwjakesteel

8 жыл бұрын

+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.

@flappyfeet1147

8 жыл бұрын

+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.

@sayuas4293

8 жыл бұрын

+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.

@clocksan9553

8 жыл бұрын

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

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.

"Square root rooms, like room radical 2, and room pi, where the guests expect free desert" Best line.

You start off understanding and following the video, and then eventually trail off and end up in the comments

@nswij62

4 жыл бұрын

Damn! You a mind reader?

@POOFAYMANN

4 жыл бұрын

It doesn't make any sense. If it was an infinite hotel it couldn't be full

@ares_bluesteel

4 жыл бұрын

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.

@therevolutionaryrevolution

4 жыл бұрын

literally

@EmilianoCarlito

4 жыл бұрын

Sheepy. Exactly what I done! 😂

I rated this Hilbert's hotel 1 star They kept making me change my room

@rhamzellibay4098

2 жыл бұрын

No matter how you rate the hotel, it will always be a 3-star hotel because average

@ctleans6326

2 жыл бұрын

@@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.

@rhamzellibay4098

2 жыл бұрын

@@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.

@ctleans6326

2 жыл бұрын

​@@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.

@rhamzellibay4098

2 жыл бұрын

@@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.

Imagine the hotel manager telling you that you have to move to a different room but you have to do math in order to find out what your room number is.

Can't I just let the guests sleep in the lobby lmao

Teacher: "The homework isn't that complicated" The homework:

@afaresfors

3 жыл бұрын

underrated

@DaDerpyCarrot

3 жыл бұрын

i'd rather drop out

@JPL454

3 жыл бұрын

This is not complicated 😅

@mish4272

3 жыл бұрын

No caps, this is actually my homework.

@marcnassif2822

3 жыл бұрын

@@mish4272 Same, BA1 MT at EPFL and this is part of my Computer Science homework

"The hardworking night manager" looks like the cleaning lady has to work harder

@themanguy2110

3 жыл бұрын

nah, they hired an infinite number of cleaning works for their infinite cleaning crew

@eeshanmarathe3369

3 жыл бұрын

@@themanguy2110 Should've hired Infinite Managers

@jeanllup6150

3 жыл бұрын

@@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

@clairdeloona

3 жыл бұрын

@@jeanllup6150 I think we should hire half of infinity (before you say anything I know what that means)

@ravelnavarro9625

3 жыл бұрын

@@clairdeloona how do you get half of something that isn't countable

“Banking an infinite amount of dollars” Inflation: “Do I look like a joke to you”

"the infinite hotel is full" math: moye moye

@_icscata_

Ай бұрын

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…..

@lakshya4876

Ай бұрын

😭😭😭I can't

2:55 imagine being in room 50 and suddenly having to move to the quadrillionth room

@TheDankBoi69

2 жыл бұрын

That would be horrible

@minhucam5026

2 жыл бұрын

Same imagine being in room 100

@felixjaphygaming9115

2 жыл бұрын

how would the elevator work if it had infinie buttons

@princeofallnegros4035

2 жыл бұрын

@@felixjaphygaming9115 You would just go to your room. 🙄

@felixjaphygaming9115

2 жыл бұрын

with an elevator, of course

Legend has it, He works for TRIVAGO now.

@elias-ml6eo

5 жыл бұрын

Hotel?

@dinomarsic4688

4 жыл бұрын

Trivago

@Natalia-hf3et

4 жыл бұрын

😁

@FishlandicFishy

4 жыл бұрын

Hotel? Trivago.

@cordatus7209

4 жыл бұрын

😂😂😂😂😂

After this extraordinary performance, the night manager was given a raise and now makes 7.50/hr from 7.25

The simple solution to this paradox is that yet there is infinite rooms and infinite guests but not all of the rooms are full yet there is always more room for the new infinite amount of guests

@thetaomegatheta

9 ай бұрын

Incorrect. Every room is initially full, we did not magically forget any. And there isn't always more room for new guests - if the set of new guests is sufficiently 'large' (i.e. has a greater cardinality than the set of rooms; for example, if there is one guest for every real number), then we can't fit all of those guests.

TED-Ed : The infinity hotel is full Me: Excuse me, wtf

@tristanhuiperez536

4 жыл бұрын

Ahahahaha true

@987654321ABC1000

4 жыл бұрын

because it's countably Infinite

@frey8893

4 жыл бұрын

淼淼 8 Billion is countable

@game-clips9657

4 жыл бұрын

Yes, i really don't understand the first problem

@987654321ABC1000

4 жыл бұрын

it's one-to-one and onto, so that's why an infinity hotel can be full, one person for one room each

Infinite hotel? *_Trivag∞_*

@timothybryce1948

4 жыл бұрын

@DaFragileTomato yes it is

@crimeson4292

4 жыл бұрын

@DaFragileTomato its infinitely underrated

@alainapostsstuffonoccasion4758

4 жыл бұрын

Best comment ever

@lapsedisasterarea7672

4 жыл бұрын

You got me there 😂

@ir0ngamer393

4 жыл бұрын

bendydick cumonmyback best username ever

This would take an infinite amount of hotel staff with a background in mathematics. I'm pretty sure I'd be asking for help finding my room a lot.

Imagine coming to this hotel with infinite rooms and still not getting a room

@gwainexe9065

Жыл бұрын

When you come in with an infinite amount of others, each with a infinitely long name consisting of a and b.

@nguyennhatnguyen8255

Жыл бұрын

Binary: Allow me to introduce myself

@nguyennhatnguyen8255

Жыл бұрын

AAAAAAAAAAAAAAAAAAA.................= 11111111111111111111111............. BBBBBBBBBBBBBBBBBBBBB..............=0000000000000000000...........

legends says the guests are still moving to the next room

@ananyaavarma15

4 жыл бұрын

HAHAHAAHA

@Petaurista13

4 жыл бұрын

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.

@MouseGoat

4 жыл бұрын

Math says so to

@setekreling4956

4 жыл бұрын

Yes R, they r

@dfdxdfdydfdz

4 жыл бұрын

they need to be

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

@sola2943

2 ай бұрын

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.

@AnasSaahirHuq-or9bv

2 ай бұрын

@@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 KZread.

I loved staying in this hotel when I was there a few septillion years back. Good thing in recent times such as then, they only allow checking in between 7:00 AM and 7:01 AM, on February 29 when it occurs on the turn of the century, when its a blue moon and full solar eclipse, so that we we arent having to move around too much. I got there and I was assigned room 27, as there were at least 26 other people who checked in that day too. However I had to move next when just 1 bus of only like 10^10^12,794.383835 people arrived. The elevators used infinitely efficient wormholes and warp drives for faster travel, so the other guy who had to take the stairs must have been there longer ago before they installed new elevators. However next I had to move to a ridiculous room because get this: At 7:00 AM, February 29 58288482848483145838359602100 B.C., an infinitely wide line of infinitely long buses came, but that wasn't it apparently that was just a single parade, and there were INFINITE parades. They ended up assigning people by their parade number, bus number, and seat number for prime numbers (like really stay sonewhere else

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.

@willevans3133

8 жыл бұрын

+Cheeseanonioncrisps With the hotel previously having an infinite amount of money, it would be the poshest, finest hotel in the country

@THEPELADOMASTER

8 жыл бұрын

+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.

@ayoutubechannel1023

8 жыл бұрын

+Cheeseanonioncrisps Applause.

@marianacaplan711

8 жыл бұрын

+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?

@THEPELADOMASTER

8 жыл бұрын

Mariana Caplan Just imagine the infinite floors falling down because the whole structure gave in

"The Infinite Hotel Room is full" Brain.exe has stopped working.

@hidde3508

4 жыл бұрын

Every room has a guest, so it' s full.

@sobervision1049

4 жыл бұрын

Its funny how the "infinite" hotel only has one employee

@epicgaming7813

4 жыл бұрын

Hidde Lekanne Deprez but then they move to the next room, which apparently didn’t exist

@hidde3508

4 жыл бұрын

@@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.

@epicgaming7813

4 жыл бұрын

Hidde Lekanne Deprez I’m sorry I’m too lazy to read all that oof

We might need you to change rooms at 2AM XD

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

why is no one talking about how pissed the cleaning lady looks edit: wtf nearly 5k likes?!?!

@baileym43ish

4 жыл бұрын

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.

@adthya9209

4 жыл бұрын

* angry cleaning lady noises *

@Gamer-uf1kl

4 жыл бұрын

Cause we left you for that

@Sinnbad21

4 жыл бұрын

You must be talking about consuela

@abibagri1

4 жыл бұрын

We need infinite number of ladies for cleaning job

day 10 of quarentine : I don't know what i am watching anymore ....

@halamk657

4 жыл бұрын

🤣🤣🤣🤣🤣

@semihk3345

4 жыл бұрын

Same maaan same

@AdenVids

4 жыл бұрын

helpmre

@ECliPSE-lx4by

4 жыл бұрын

I have stayed at home for 2 months YaY.

@ajishavayoli

4 жыл бұрын

This one is suggested by one of my friend 😂

Love to watch it every morning 😅

Imagine how long you will wait in the bus if you're the last person on the bus😂😂

Elevator: *stops working* People in the 999.999.999.999.999 floor: ö

@ander.ramosv

4 жыл бұрын

ö

@sneezyguy793

4 жыл бұрын

Ö

@darwinlucero8423

4 жыл бұрын

The 999.999.999.999.999 people: "I'll just take the stairs."

@FelixTsang

4 жыл бұрын

Jump™

@budokan450

4 жыл бұрын

*ö*

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/∞

@raynerfr

4 жыл бұрын

Ali Raza why not Negative Infinity?

@kato3415

4 жыл бұрын

@@raynerfr How to losing your braincell

@raynerfr

4 жыл бұрын

Ice Pumpkin I’m sorry, what?

@kato3415

4 жыл бұрын

@@raynerfr can u count negative in finity to infinity?

@raynerfr

4 жыл бұрын

Ice Pumpkin uhhhh, no? It’s literally impossible to count to negative/infinity

Sometimes I also have these kind of illogical doubts which seems to be logical, just like Paradoxes of Zeno, but I used to not think much about it as no one gives it importance saying that it is illogical and has an obvious answer. But now Zeno gave me MOTIVATION to think more and have these kind of confusing doubts, or to be precise, Paradoxes

It all goes smooth until Karen refuses to leave her room

“He could lose his job” bruh he makes infinity dollars are you on weed

@anymaths

4 жыл бұрын

you can watch my maths videos.

@yongironi1367

4 жыл бұрын

I always hear "on crack" but never "on weed" 😂

@boski.creations

4 жыл бұрын

Hahahaha

@lorenzoperrone760

4 жыл бұрын

Rincoglionito, if he loses his job, he'd lose an infinite amount of money

@SStupendous

4 жыл бұрын

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

I spent 6 minutes watching a video telling me that infinity is infinite

@lemoncholy3264

4 жыл бұрын

ColmMcK lmao

@nokukichimoybm8212

4 жыл бұрын

Yes, every 60 seconds in Africa a minute pass

@JqAnimateshello

4 жыл бұрын

*LMAO!😂😂🤣🤣*

@rishipatel4753

4 жыл бұрын

@@nokukichimoybm8212 I was born at a very young age

@westoncornwall9644

4 жыл бұрын

infinite times

Mind tickling.

Infinity isn’t really a number it’s more of a concept So let’s say you have an infinite amount of rooms and guests When you add one guest, nothing really changes As Infinity+One = Infinity Even if you add 10 people, A billion, A trillion, Even Adding infinity amount of people will not change the number of guests as infinity almost always keeps its form as never ending

@thetaomegatheta

Жыл бұрын

'Even if you add 10 people, A billion, A trillion, Even Adding infinity amount of people will not change the number of guests as infinity almost always keeps its form as never ending 1' Your line of thought breaks the moment there is an infinite bus of guests with real-valued (as opposed to natural-valued) seat numbers. You will not be able to fit them all in this hotel, no matter how you try.

Imagine staying at a hotel and the guys asks you to move to room 2 to 36 power

@mrcastravete8220

4 жыл бұрын

Wyatt you would move to room 68.719.476.736

@caiooctavio

4 жыл бұрын

maybe the elevator is infinitely fast

@orangeapplekiwi6795

4 жыл бұрын

@@caiooctavio yes, but with infinite floor you could never reach anywhere

@thebookless3381

4 жыл бұрын

*You could never reach the truth**

@Fred_the_1996

4 жыл бұрын

@@thebookless3381 ohshitthat'sdeep

Builder: how many floors would you like manager: yes

@drippinbroomy4830

3 жыл бұрын

Yes

@oscarmichel8893

3 жыл бұрын

Builder : how many floors would you like ? Manager : how many bread did you eat in your life

@kerwwyngonzales9547

3 жыл бұрын

666 likes

@tevoi8057

3 жыл бұрын

Legend says they are still building to this day

@Staeve64

3 жыл бұрын

minus 111 likes please

The first video from Ted-Ed that fails to teach me something that I was supposed to grasp from middle school.

The buffet must be a nightmare

@danieldeak9141

5 жыл бұрын

Yea but then again there is infinite food.

@PRGME7

5 жыл бұрын

Dániel Deák and most likely infinitely large

@bojackthepriest4288

5 жыл бұрын

Only problem is the dining room must be infinitely large, so it takes for an infinite amount of guests an infinite amount of time to find their table

@ucnguyenanh9414

5 жыл бұрын

Poor staff

@ninjahayden34

5 жыл бұрын

@@ucnguyenanh9414 there would probably be infinite staff

Imagine jumping off the roof of the infinite hotel, you have an infinite amount of time to have your life flash through your eyes

I watched this when i was 10 , somehow i grasped the concept or this video , now after 5 years , when im 15 i thought oh i remember this video , in those 5 years ive learnee a lot about progressions maybe i should perhaps watch it for a better understanding , now after watching this i can successfully say i am even more confused from when i was 10

And then, the unthinkable happens. The elevator stops working

@Graceleus

5 жыл бұрын

And they say that the stairs are *a tad bit too slow*

@pepperonipizza8200

5 жыл бұрын

Don’t worry, there are infinite elevators.

@MAG_1204

5 жыл бұрын

Nooooooooooooooooooooooooooooooooooooo

@chrishya1099

5 жыл бұрын

Nooooooooooooooooooo!!!!

@basilhashmi3840

5 жыл бұрын

Penny wants to know your location

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*

@renewincelestian5007

4 жыл бұрын

SIKE THATS THE WRONG NUMBER

@jackybaby0

4 жыл бұрын

Renewin Celestian 😂

@yellowing5152

4 жыл бұрын

Or 1.6055465e+61

@triplekill3874

4 жыл бұрын

How do I read this?😂

@leebochance1

4 жыл бұрын

Technically it could still be way worse

The Real number infinite Hotel can still accomadate any number of countable infinities, just instruct only residents with whole number rooms to move and leave all others in place, effectivly carving a natural number subset out of the real number hotel and utilizing only it. The problem is when an uncountable infinity of guests arrive at either hotel when any guests are present as their is no way to avoid a collision via a reliable formula.

@thetaomegatheta

Жыл бұрын

'The problem is when an uncountable infinity of guests arrive at either hotel when any guests are present as their is no way to avoid a collision via a reliable formula' You can just smush everybody into an interval in the case of real-valued Hilbert's Hotel, for example, onto (0,1) (like with the function f(x)=1/x+1/(x-1)), leaving 'rooms' R\(0,1) 'free'. In fact, all infinite sets have bijectional mappings onto some of their own proper subsets.

You can checkout anytime you like ... But you can never leave!

Basically if you’re in room pi you can’t move anywhere else.

@sytrostormlord3275

3 жыл бұрын

You can always go to 2 pi... but after that you'll probably start running between those 2 rooms for infinity, as well as other guest, who were asked to go to room pi... so... everyone would be on corridor- switching rooms

@delphine5260

3 жыл бұрын

I don't think so, because pi 3.14159265359 etc... A decimal. Therefore its real value is just a little over 3, the more numbers after the decimal point, the smaller the decimal. It you were to round it, it would just be 3. You couldn't even round up to 4 because in order to do that, you need a five in the 10s place ie. 3.5159265359.

@Jay-nh6um

3 жыл бұрын

First of all, you can, like you would with any number. And why pi, specificly? There is a number of real numbers equal to Aleph 1, which can all be used in normal operations. Yes, pi has infinite digits, but even 1 has (1,0000000000000000000000000...), so I don't see the problem.

@eelueelu9069

3 жыл бұрын

Man u r right. Pi is having an infinite numbers of digits after decimal, which means that pi will never end and you will never be able to go to the next room but one thing u missed my boy is that all the rooms in hotel are having natural number as their room number.

@christophervandehey2614

3 жыл бұрын

Also it's shaped like a circle.

It’s funny how I thought i might be able to understand this

@jessicasuchy6411

5 жыл бұрын

DJ Stone Productions Hahahaha sameeeee

@geraldjames999

5 жыл бұрын

Jessica Suchy freal 😂😂😂💀😭

@rockmove3547

5 жыл бұрын

Im So Smart so i dont know what is there hard to understand So probably you still understood more than me

@Samuel-bw6hg

5 жыл бұрын

😂

@PercabethLovernot

5 жыл бұрын

Same

The comment section is more horrifyingly complicated than the video itself

Can we stop to appreciate how much calculation the receptionist Has to do?

Fun facts: If a man jumps off the top of this building,it will take him infinite amount of time to land

@martonferenczi7894

3 жыл бұрын

Fun Fact: it is impossible to jump off the top of this building since it is infinitely high so there is no top.

@ryanramjattan8714

3 жыл бұрын

A: Suicide is impossible B: Flying is now possible

@finn596

3 жыл бұрын

"What happened to him?" "He died of thirst"

@thegod2291

3 жыл бұрын

I mean u can never go that high , eventhough u did and jump u will fall and not fall at the same time.

@semicolon2599

3 жыл бұрын

@@martonferenczi7894 There is a top. it just takes an infinite amount of time to reach it.

Great video!

So what if some of the guests can't do math? They won't find their room cuz they don't know what 9^9 is(neither do I💀)

@sophie________

Жыл бұрын

calculator