Imagine disturbing an infinite amount of clients just to fit one more person in the hotel

@flygawnebardoflight

2 жыл бұрын

I'm just saying that supporting an infinite number of people has got to put a toll on the economy

@artyommoxid6233

2 жыл бұрын

It's ok. When you are settling in an infinite hotel you have to deal with consequences.

@jeroen5736

2 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

2 жыл бұрын

@@jeroen5736 I wish you luck in finding who's at the end of infinity. Spoiler Alert: It's Chuck Norris

@owlman145

2 жыл бұрын

It's ok your making an infinite amount of profit anyway, so even in an infinite amount demand a refund... hmmmm

imagine checking into a hotel at 5 am and realizing you have to walk to room 900 quadrillion

@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

@ankylo5550

2 жыл бұрын

Bro a bot just replied to my comment on this post from ages ago with your exact comment

@Readybear77

2 жыл бұрын

@@ankylo5550 that's strange because someone else further down has said the exact same thing aswell 😱

@justsomeguy6545

2 жыл бұрын

The guy who has to walk to room 100 saptilion Lucky

@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

"Hey,you need to move to the room 748374896246326423874,and the elevator is broken,sorry for it" "....."

@Marcus-jl8jg

2 ай бұрын

💀💀💀💀

@pandabrooke

Ай бұрын

😂

@cheetosnour.scratch-learn

Ай бұрын

"hey, you need to move to room τ*10^79 and no elevators" response: "my feet will die.💀"

@mohammadalhocheimi1706

Ай бұрын

Nah what about the p2m pay to move hotel? Hey, sorry for this but you need to move to room 91 google, and to use an elevator, you need to pay $200qui.

@Axol2138

Ай бұрын

You need to move to room 1+ +1 ( 1+ +1 is uncountably infinite because we dont know what to add for 1+ so we add the awnser to +1 but there is none so we do 1+1 to do the equation 1+ +2 but it will become 1+ +1+ +1 for mathematical logic then the process repeats becomings 1+(1+(1+(1+(1+(1+(1+(1+(1+(1+… forever )

I like how he explained it in such an understandable way to shield my brain from realizing I actually understood nothing.

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

2 жыл бұрын

💀

@Anzal.__

2 жыл бұрын

Wrong

@edu_was_taken9597

2 жыл бұрын

Lmao I’ve seen this vid like 50 times and this comment it’s the best

@TachyBunker

2 жыл бұрын

Backrooms be like:

@justanother_witheredrose894

2 жыл бұрын

confused confusing confusion

Dude, the people staying in that hotel must be pissed having to move so much.

@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.

@beenguy5887

2 жыл бұрын

Price you have to pay for having an infinite amount of vacation members

@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

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

2 жыл бұрын

I mean, they're infinitely moving.

"Do you know my friend?" "Who?" "Abababababababababababababababababababababababa...."

@zamhaq8866

Ай бұрын

The one with glasses or the one without?

@nu1x

Ай бұрын

Reminds me of a Monty Python sketch about interviewing a German person with a very long name, I almost died laughing it's so well delivered.

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.

@zamhaq8866

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

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

20 күн бұрын

There's 7 billion people and it can fit 7 billion rooms. There are leftovers here. 0.000000000000000000000000000001 stars

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

2 жыл бұрын

They are customers

@michelecaronti

2 жыл бұрын

You'll have to build an infinite parking lot ahah

@michelecaronti

2 жыл бұрын

@@ihatethatrepairmen4255 Legit

@kookies_kooky7170

2 жыл бұрын

Seriously i get annoyed while infinite people come in the hotel while iam peacefully eathing ramen

@randomhandle111

2 жыл бұрын

@@kookies_kooky7170 infinite supply of ramen in your infinitely large ramen room

“An infinite number of infinite busses.” - “Dear god.” “But now a big bus pulls up” - “No.”

@thetoiletpaperrollondalgom4592

2 жыл бұрын

Imagine the traffic by just standing behind the bus ;-;

@softtacos1

2 жыл бұрын

Dear god... There's more. No...

@gavinli1368

2 жыл бұрын

Do you want the bucket?

@softtacos1

2 жыл бұрын

@@gavinli1368 Yes!

@alexeyvlasenko6622

2 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

KZread bugged and I watched this with no audio and it was such a mood, I recommend

@bonesreds3062

2 ай бұрын

thats fire

@farihariti2553

Ай бұрын

me tooo

"Hey honey how was work?" "Rough day. An infinite number of infinite buses showed up."

@helen7718

Ай бұрын

😂

"All right, everyone, move to the room number that's twice your current room number." *Guy at Room One Billion:* "Ugh, fine..."

@viethuongvothai686

2 жыл бұрын

The guy assigned to room 1 quintillion: *Already turn into a skeleton getting to his room*

@egg.007

2 жыл бұрын

The guy who had a quintillion numerals in his room number:okay

@freestylecreations9677

2 жыл бұрын

How about just changing room number on door?

@sachin-rathi

2 жыл бұрын

@@freestylecreations9677 who will change the room number for empty rooms😂

@Krishdylan

2 жыл бұрын

Person at Octillion: turns into dust that can be vacuumed when trying to move.

Imagine spending the whole holiday just to reach to your room in an infinite hotel

@chanchalsharma8196

2 жыл бұрын

😆😆😆😆

@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

2 жыл бұрын

Infinite holiday

@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

2 жыл бұрын

😂😂😂😂😂😂i think the same

I can't wrap my head around the concept of infinity.

@MzeeMoja1

5 күн бұрын

It’s a concept that is really difficult to grapple with, especially when thinking of it in terms of an infinite universe which means that there would be an infinite number of possibilities. I asked ChatGPT whether in an infinite universe there is a planet full of dogs and this was the response: In an infinite universe, the possibility of a planet full of dogs does indeed exist, according to the concept of infinite possibilities. Here's why: 1. **Infinite Space:** In an infinite universe, there are an infinite number of planets and celestial bodies. With such vastness, virtually any conceivable configuration of planets and environments is possible, including planets that are inhabited entirely by dogs. 2. **Probability and Randomness:** In a universe with infinite possibilities, random fluctuations and chaotic processes can give rise to a wide range of outcomes. While the likelihood of a planet being inhabited entirely by dogs may be extremely low, it is not impossible within the framework of infinite possibilities. 3. **Variety of Environments:** Planets can have a wide range of environments, from rocky and barren to lush and habitable. In an infinite universe, there are bound to be planets with environments that are conducive to the existence and proliferation of certain species, including dogs. It's important to note that the concept of a planet full of dogs is purely hypothetical and speculative. While it may seem fantastical, the idea illustrates the vastness and diversity of potential configurations within an infinite universe. In reality, our understanding of the universe is still limited, and we have yet to explore even a fraction of its vastness. -Ends- Basically anything that can happen in an infinite universe will happen. 🤯

@josephlightfoot414

2 күн бұрын

There's no such thing as infinity, it is by its own definition, not quantifiable.

This is the best explanation of countable vs uncountable I have heard so far.

@rikardnorlen752

Күн бұрын

Well you can't hold me countable!

I love how mathematicians literally need to invent a problem that doesn't exist

@bobherobrine3415

2 жыл бұрын

The hotel in the math problem

@dickhammerbush172

2 жыл бұрын

You don't tell me how many watermelons are in my swimming pool, I do

@recoupxtra7270

2 жыл бұрын

Fax

@unapersonaelegante4399

2 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

2 жыл бұрын

It's to show how smart we are

"An infinite number of infinite buses show up. What can you do?" Well, for a start I could quit my job

@spike480p

2 жыл бұрын

Wt-

@azure_vxiii

2 жыл бұрын

And get hired as a waiter for an infinite restaurant? 😜

@mimi-ix3fb

2 жыл бұрын

@@azure_vxiii big oof

@bijan2210

2 жыл бұрын

Just tell them to move forward until they give up or find an empty room.

@TheSUGA1202

2 жыл бұрын

How much is the paycheck cause even if its infinite i wouldnt be paid enough.

his answering questions nobody ever wondered to ask 🗣🔥🔥

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.

Imagine being so unlucky that you don't even get a room in an infinite hotel.

@criticallyconk4944

2 жыл бұрын

Rng moment

@user-vb8zo6kh4j

2 жыл бұрын

It is your fault for being named ABABBABAAABBABAABABBABAABAB

@futotesan

2 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

2 жыл бұрын

I know who it is, bad luck brian

@alexeyvlasenko6622

2 жыл бұрын

Just don't have an infinitely long name, and you won't have a problem

Manager: Can everyone please move from their room again Guest: B R U H....

@lans241283

2 жыл бұрын

Pol

@MuhammadWaseem-kj5ye

2 жыл бұрын

I'm also pakistani

@williamjames7293

2 жыл бұрын

I'd check the heck outta there

@benjo3355

2 жыл бұрын

Loool

@YYZed12

2 жыл бұрын

LMAOOO

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

15 күн 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

15 күн 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

15 күн 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

15 күн 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

15 күн 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

Bro F’d my brain up and thought I wouldn’t notice💀💀

This is kinda of stuff mathematicians imagine when they're high

@camsandhu340

2 жыл бұрын

100th like

@goodlightpringles6335

2 жыл бұрын

101st like

@WisdomLearner

2 жыл бұрын

But it indeed lead to the creation of the computer nso that's a plus for the crazy.

@shivaanrambally9611

2 жыл бұрын

601st like

@kevinboros7427

2 жыл бұрын

Muahahaha 667th like, I broke the funny number.

"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

2 жыл бұрын

But then infinite people would leave, and all the other hotels are full. So only this infinite hotel has space.

@manuelr.7461

2 жыл бұрын

...

@funny_ol_kat

2 жыл бұрын

Oof

@lamhw

2 жыл бұрын

@@Guztav1337 oh. I’ll go home then

@JohnSmith-ox3gy

2 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.

It was SO SO cool to know! Thank you for this video 🎉

That was so cool to watch! I loved it!

“I quit” “But you’re the mana-“ “Nope, I quit”

@OliverEye

2 жыл бұрын

True I did next week

@jaiadit2406

2 жыл бұрын

😂😂😂😂😂😂😂

@bodhiboy1

2 жыл бұрын

I quit

@kristynahladikova8077

2 жыл бұрын

1 k like

@orenge-hw9nx

2 жыл бұрын

When you have Inifnite mana as a mage in skinder 2

"Imagine a bus pulls up with an infinite number of people..." "Okay..." "Now imagine a BIG bus pulls up..."

@CJBoxyeet

2 жыл бұрын

like always, that part of the video showed up when i read your comment

@3aloosh623

2 жыл бұрын

@@CJBoxyeet ik right this always happens lol

@Roboman1807

2 жыл бұрын

No seats? Is that even legal?

@yakked

2 жыл бұрын

And somehow he never mentions framerules.

@kbgiver

2 жыл бұрын

@@CJBoxyeet omg IT'S RELATABLE IM DYING

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.

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

Customer: where’s my room sir? Hotel manager: at the end of the hall

@bigj9503

2 жыл бұрын

*walks 4000 gigameters*

@kordru

2 жыл бұрын

@@bigj9503 *walks infinite amounts of infinite distance for infinite time*

@Utkarsh2607

2 жыл бұрын

@@kordru and after infinity millenium ,probably you will reach there... Manager:Wishing that your age is infinite.. (o‿∩)

@Snoowy_FN

2 жыл бұрын

4 gigameters is already 2.485e+6 miles

@bschristopher916

2 жыл бұрын

by the time he reaches his room, he'll have infinite Grandchildrens and so on

People in the hotel “I literally just finished unpacking stop moving us to another room.”

@SkillTimO

2 жыл бұрын

You never would finish unpacking your infinite items.

@lizlee8715

2 жыл бұрын

At that rate, I'd just keep all of my stuff in an suitcase...

@magnabueno5360

2 жыл бұрын

Technically they would spend the entire day changing room

@cytusdux7439

2 жыл бұрын

@@magnabueno5360*lifetime

@doomkenka

2 жыл бұрын

Just about to put that

Staying at this hotel is literally a workout 💀

@NEKOSAIKOU.

4 күн бұрын

A deathwish

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.

Just tell them to walk down the hall knocking every door until they find one empty. They will never return to ask questions.

@asedtf

2 жыл бұрын

This is why you don't need to learn math to be a good engineer

@ericoschmitt

2 жыл бұрын

@@asedtf I did study engineering, and calculus was not my strength lol

@denispol79

2 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

2 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

2 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.

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

2 жыл бұрын

That's why we support emperor palpatine. He will get rid of these infinite hotels with his infinite power.

@iBetThisNameWillWork

2 жыл бұрын

Imagine being the 8183748595937262628385837251416363626273849595th person off the buss.

@gladiatoranc

2 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

2 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

2 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.

If you couldn’t figure this one out, don’t worry, you’re not alone. When Cantor published his now famous results on cardinality, it was so paradoxical that almost nobody accepted it. But Hilbert did, and created this analogy to help justify it to befuddled minds.

@RonaldRaygun-tg4zl

2 ай бұрын

Indeed. Some guys here think they are smarter than Hilbert, Goedel and Cantor together. Maybe they should look up those names and then think again.

Good video and explanation! You also see something similar in limits which have inf/inf form.

It’s funny how this assumes that the guests don’t care about moving from their hotel rooms a crap ton of times

@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

2 жыл бұрын

Maybe they infinitely fast

@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

2 жыл бұрын

@@nataliaborys1554 It would really be a disaster going from room 2^60 to double that number.

@rattle7215

2 жыл бұрын

an infinite number of times...

"I love you " "I love you more" "I love you times infinity!" Me: pulls out spreadsheet.

@sen4845

2 жыл бұрын

💀

@gregoryb4322

2 жыл бұрын

“Actually I think that you’ll find that will be quite literally impossible🤓”

@afigamming7958

2 жыл бұрын

I have mona

@mcmona4171

2 жыл бұрын

@@afigamming7958 yesss me too! (though I was pulling for venti 😔)

@aadenkeehn8112

2 жыл бұрын

Crispy chicken sandwich and caramel brownie mcflurry

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 :)

@Pokekidb_ac

25 күн бұрын

You are hired

These videos make me feel stupid but they're so fascinating and entertaining

Imagine just unpacking and being told to move 100 rooms down

@francisbacon3949

2 жыл бұрын

Literally laughed out loud at this one hahahaha 💀💀💀

@vcreativeart16

2 жыл бұрын

Imagine just unpacking and being told to move 189,146,081,499,116 rooms down

@jhsevs

2 жыл бұрын

Or a hundred infinities

@shahidkhan-uq9mm

2 жыл бұрын

@@vcreativeart16 r/yourjokebutworse

@jhsevs

2 жыл бұрын

@@shahidkhan-uq9mm this is not reddit.

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

2 жыл бұрын

I would be glad if I don't have to move to double my room number though.

@00_Cupid

2 жыл бұрын

Imagine when checking out of the infinite room all the way to the front.

@souheilallegue2342

2 жыл бұрын

"sorry sir, could you move from room number 40000000000 to room 80000000000 please"

@xeon2k8

2 жыл бұрын

infinitiest underrated comment here

@lyrelyreharponfire

2 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 😔

One thing for sure, the manager should be given a raise

Even though I know all of this, I still like to come back and watch this because it’s so well done

"Imagine there's a hotel with infinite rooms..." Already lost me, buddy.

@Guztav1337

2 жыл бұрын

Just think of a hotel with many rooms

@manuelr.7461

2 жыл бұрын

Lol

@bozhanatoneva1973

2 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

2 жыл бұрын

Same

@Okaz_

2 жыл бұрын

Hallway

“Infinity + 1” is a kid argument i never guessed would be supported by actual math

@Wirgah

2 жыл бұрын

Most kids probably got it from vsauce so hey

@afo985

2 жыл бұрын

@@Wirgah didn't he say infinity plus 1 is also infinity?

@Alt.E32

2 жыл бұрын

@@afo985both are infinity but infinity+1 is a higher kind of infinity

@rhynoorhyon5291

2 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

2 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.

Well now we know who to call if we ever get an infinite hotel with infinite amounts of problems that will be solved for eternity infinitely

This is Cantor's diagonalization argument and it is vastly useful in disproving statements.

I'm impressed that a bus has more capacity then a hotel.

@kelsey5818

2 жыл бұрын

There are multiple busses, not multiple hotels.

@oboy1918

2 жыл бұрын

@@kelsey5818 but can the one hotel fit all the people from the last bus with infinite ababab s

@kelsey5818

2 жыл бұрын

@@oboy1918 just put them on an infinite bus with seats. Problem fixed.

@Jellyduckface1

2 жыл бұрын

That's one hell of a bus huh?

@gigaomnom3849

2 жыл бұрын

They had the same. There were just multiple buses

I am sorry for the cleaning person... she left one morning to clean the rooms and never came back...

@AdityaRaj_24

2 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

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

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

2 жыл бұрын

@@AdityaRaj_24 you are right! I suppose the secret of the success here is to get investors for this enterprise...

@tharindurajakaruna1590

2 жыл бұрын

@@AdityaRaj_24 but would be stupid management wise, whose gonna pay them all xD

What a smart explanation!

i want more videos about David Hilbert!

*slaps the roof of the party bus* "This bad boy can fit so much ABBA in it"

@plasienorzokie2187

2 жыл бұрын

😭😂

@matiasandreupinanaradrigan7862

2 жыл бұрын

LOL

@manuelr.7461

2 жыл бұрын

Bruh 😂

@jamesontv4805

2 жыл бұрын

True

@h4nishi

2 жыл бұрын

😭?

*"Well you pull out an infinite spreadsheet"* Ah yes, just another normal day at work

@ronaldhamac3787

2 жыл бұрын

Perfect timing i saw the comment just as he said it

@theghostcookie2772

2 жыл бұрын

honestly just excel right?

@Relatess

2 жыл бұрын

Lol

@AS-qi2lq

2 жыл бұрын

in infinite universe lol.

@natecallon9755

2 жыл бұрын

@MatZ hello fellow cs major (i assume)

Imagine being on the 374,395,106,285th bus and your the 206,305,936,253,194th passenger 💀

Finally, a job where I can use my PHD in math. A hotel manager.

"Everyone move to the room with double your current room number" The guy in room 387494985726478569420: 🙃

@Catnipyy

2 жыл бұрын

69420 Nice

@saffamarwahomar

2 жыл бұрын

Hahaahahahaha 😭

@calebtan8682

2 жыл бұрын

Every room should have a calculator then 🤣

@WilIiyum

2 жыл бұрын

@@calebtan8682 Just not funny Edit: I didn't find it funny ok so chill Caleb Tan is my G

@calebtan8682

2 жыл бұрын

@@WilIiyum okay lol

Teacher: The test isn't that hard. The test:

@satishchaudhary7978

2 жыл бұрын

Go study instead of watching videos and then the test won't be hard

@r6tker

2 жыл бұрын

@@satishchaudhary7978 r/whoosh

@TheCrimson_Phoenix

2 жыл бұрын

@@satishchaudhary7978 r/whoosh

@gamingstream4675

2 жыл бұрын

@@satishchaudhary7978 r/whoosh

@parkourcracker3984

2 жыл бұрын

@@satishchaudhary7978 r/whoosh

Similar argument is used to prove that set of real numbers have cardinality more than set of natural numbers, using set of infinite binary string. Famously known as The Cantor's diagonal argument. We all have studied it in our university maths syllabus.

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

"What would happen if infinite of infinite buses with infinite of infinite passangers show up?" Show them the 2nd floor.

@the_jingo

2 жыл бұрын

Good one

@trevorbeatz5741

2 жыл бұрын

lol

@StarSupernova59

2 жыл бұрын

*THATS ALOT OF ROOMS*

@1tzL1t

2 жыл бұрын

Lol

@HaLKer5

2 жыл бұрын

Big brain time

The people whose room numbers are huge: "You can check out any time you like, but you can never leave."

@tastygiggidy633

2 жыл бұрын

LMAO BEST COMMENT IF YOU KNOW THE SONG

@theblackreaper4395

2 жыл бұрын

@@tastygiggidy633 Yeah Xdd

@paulmurray2729

2 жыл бұрын

The song is Hotel California by the Eagles.

@saswatsarangi6669

2 жыл бұрын

Then how can you checkout or check-in in the first place

@gabrielferes

2 жыл бұрын

@@saswatsarangi6669 phone

People staying at this hotel : “Ahhh I can finally rest.” Hotel Receptionist: “Move to room 314159265 quadrillion.”

I like watching this video at least once every year. Idky but I find myself rewatching it.

This hotel's manager needs an infinite raise

@skullscope

2 жыл бұрын

Watch people make a problem with that

@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

2 жыл бұрын

Btw u are manager

@seederorg2489

2 жыл бұрын

@@datboredguy4873 ∞^∞

@unholycrusader69

2 жыл бұрын

What about inflation?

The key insight learned from this is the distinction between infinity and all: they are not synonymous.

@thetaomegatheta

3 күн бұрын

Haha. You seem to have decided to remake your comment after being humiliated yet again. But sure, let's go over this once more: That 'insight' is extremely obvious to all math-literate people, especially considering that the word 'infinity' refers to some points in spaces like Alexandrov compactification. This 'insight' is not what the video is about.

The guy working in the lobby can only handle one customer at the time. And only one queue. That means the first bus showing up will be maximum 😂

@thetaomegatheta

3 күн бұрын

Incorrect. We can manage everybody at once.

“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

2 жыл бұрын

Infinite work

@jahnvivi5939

2 жыл бұрын

So you've chosen to rebel? Understandable, have a nice day.

@dperfett

2 жыл бұрын

destroyed

@Dovenchiko

2 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

2 жыл бұрын

This will need infinite time. So no one is getting a room. Sorry still working on it 🤷‍♀️ (Goes on vacation instead)

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

2 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

2 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

2 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

2 жыл бұрын

@@billcraig5614 Incredible how much of a smart ass you sound!

@mickeyagrawal2001

2 жыл бұрын

He is a dumb troll, ignore him.

The most interesting thing I will watch ever in my life

If the concept of infinity is that there is no end, then there’s no possible way for the rooms to be filled.

@princesswaspp

2 ай бұрын

exactly

@okuyasuniijimura

2 ай бұрын

There is a way if there are also infinite guests

@ravendecoux

2 ай бұрын

@@okuyasuniijimura no, because there’s unlimited of both, smh. You can’t run out of something that can continue forever. There can’t be bigger and smaller infinities bc that would imply one ends before the other, which goes against the definition of infinity.

@RonaldRaygun-tg4zl

2 ай бұрын

@@ravendecoux "You can’t run out of something that can continue forever." You can. All rooms are occupied, there is no free room and even if all rooms were free there are not enough rooms for all ABBAs. So, you can obviously run out of rooms in this case. " There can’t be bigger and smaller infinities" There obviously can. " which goes against the definition of infinity." It doesn't.

@ravendecoux

2 ай бұрын

@@RonaldRaygun-tg4zl the definition of infinity means numbers are limitless. Explain how tf your running out of rooms, when you can just add another room/ number. How can something be bigger or smaller when… you can just add more numbers… and if there is a limit to that number… it’s not limitless… so it can’t be infinite. Great explanation guy😂

I was going to make a joke about infinity, but I'll never hear the end of it.

@colonelhacker3661

2 жыл бұрын

This guy... :)

@sicklymoonlight

2 жыл бұрын

well done.

@user-ke2dl9se5l

2 жыл бұрын

n1

@wa6488

2 жыл бұрын

Get out

@toast1757

2 жыл бұрын

nice dad joke

“This hotel can’t run out of room!” “Yeah but what if it did?”

@thewatchidiot

2 жыл бұрын

....."but it can't tho" "Yeah but what if it DID??" repeat x infinity

@Himoooo

2 жыл бұрын

No what if just tell them to learn about infinity first 😂

@ethrick.k.1292

2 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

2 жыл бұрын

That's a question for another 'what if'

@mustafabahaj9832

2 жыл бұрын

Lol, good one

Never thought my life would come to the point where I'd be looking at the basic explanation of infinity.

Well, that's one of the explanations why |R| > |Q| (R - real numbers, Q - rational, |R| - roughly, number of numbers in the set of real numbers). We cannot associate each real number with a natural number (just like with the rooms in the video), but we can with rational numbers. Therefore, |N| = |Z| = |Q| < |R|

When the infinite number of infinite buses arrived, gotta admit I felt like giving up on my career as hotel manager.

@V4_3C

2 жыл бұрын

Lol

@ruan13o

2 жыл бұрын

Just think of the infinite profit.

@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

2 жыл бұрын

Same like …

@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

As a computer science student this video is so exciting to watch. The ABAB part reminded me of Turing machine

whoever manages to get into room 1 must be the luckiest man out there..

"You have infinite rooms right?" "Yeah" "So that means you will never run out of rooms" "Makes sense" "Then would i like to get one?" "No all of them are full"

@Anu_boi

2 жыл бұрын

XD

@kyletheawkwardpineapple7076

2 жыл бұрын

Lmao

@mahmudbinumar4754

2 жыл бұрын

SpongeBob reference

@zarifamsyar6274

2 жыл бұрын

Just ask the other guest to move in any room that Isnt occupied

@overseer-0191

2 жыл бұрын

@@sandeepvivek6134 no one understands your comment lmao

Host: You can bring as many friends to the party as you’d like. Derek: Hold my bus...

@Spl33ney

2 жыл бұрын

Well you're here early

@tunahankaratay1523

2 жыл бұрын

o

@physicsgirl

2 жыл бұрын

@@Spl33ney I was on the first bus.

@Siddiquii

2 жыл бұрын

lol how did u get so many likes just coz you got a lot of subs XD

@ayushjaiswal.

2 жыл бұрын

Ha ha lmao 🤣

Shoutout To Rezo where i First Heard about the Hilbert Hotel, But he had a different Start To work with infinity guests who needs infibity rooms

youtube has be recomending this from long time finally i have seen it

Guest: Just finished arranging their items in the room. Manager: Please move down a room. Guest: AGAIN?!

@Sonicbro-xx6sg

2 жыл бұрын

Imagine living in one of the largest numbered room when the manager asked them to move double that. I hope they have their walking shoes because I didn't see a vehicle in the hotel.

@aiku5091

2 жыл бұрын

Lol

@michaelzhang9806

2 жыл бұрын

My guess is they can teleport, at leas then the people at the end won’t be stuck in purgatory.

@andrewdemarest1606

2 жыл бұрын

it would take for literal ever because if it's infinite and each guest moves every time a new guest arrives they would never even get to step into their room.

@shawnreyes78

2 жыл бұрын

Imagine moving 100 rooms 😳

"this is the hilbert hotel, and you're the manager" Me: "I quit."

@zhounen790

2 жыл бұрын

LMAO

@user-dv9ze9tt4l

2 жыл бұрын

∞

@nickdanvers547

2 жыл бұрын

ez

@axolotl6564

2 жыл бұрын

Same

@reinhard7731

2 жыл бұрын

accurate response

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.

Moore's law: we need to double the number of mathematicians to solve the problems generated by the previous ones

I feel bad for the guy that has to walk forever just to go to his room that he will never reach

@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

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

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

2 жыл бұрын

*the backrooms*

@sharonsia1351

2 жыл бұрын

@fred McMurray the other end

I would hate that hotel 💀 Imagine being asked to move to another room everytime someone arrives 💀💀

@ClassicBentobox

2 жыл бұрын

If you leave it frees up a room for another customer

@ClassicBentobox

2 жыл бұрын

@@ayamelee9020 im on the side of math not the consumer on this one. I’m sorry

@user-zt8yq8fj3h

2 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

2 жыл бұрын

Ikr✋💀

@korayacar1444

2 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.

This sounds so good and i would like to be a party to this, is there any way I can speak with her?

Imagine being the only person there. I reckon it’d feel like being the only one at a hotel, if that makes sense! lol

"Imagine theres a hotel with infinite rooms." "All the rooms are occupied." *[visible confusion]*

@goncalocalqus1766

2 жыл бұрын

Exactly my thoughts and I still can't get over it because everything that comes afterwards feels like bs.

@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

2 жыл бұрын

@@slavetzkyrickyjames4305 get out with your math

@opioidhamster3205

2 жыл бұрын

@@slavetzkyrickyjames4305 tf you mean countable is it really "infinity" then

@last-dinosaur

2 жыл бұрын

@@opioidhamster3205 you gonna understand after you finish the school, probably

“Oh just move to the room double your room number.” “But I’m… at room 9,000,000,000,000,000,000,005.”

@esquilax5563

2 жыл бұрын

"So what? There are infinitely many people in higher-numbered rooms"

@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

2 жыл бұрын

Sure, keep walking, either you reach your room or die trying!

@gabrieldavis4434

2 жыл бұрын

“Start walking, bitch.”

@kristinaalshami2178

2 жыл бұрын

@@gabrieldavis4434 UNDERATED REPLY OML I DIED

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.

that manager deserves a raise for dealing with infinite infinitive

All I care about is the infinite buffet...

@joshchen8679

2 жыл бұрын

@Darth Sidious ice cream 🍨 line will also be infinite

@rogermwilcox

2 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

2 жыл бұрын

all i care about infinite money

@TheSwarm666

2 жыл бұрын

Bag eggs poggers

@Believe_on_the_LordJESUSChrist

2 жыл бұрын

there's even greater things than that in heaven.

The hotel owner is infinitely rich and infinitely broke at the same time.

@natha2805

2 жыл бұрын

Well as long as the resources he gets from a room is higher than the charges, the man is rich

@caseygust9773

2 жыл бұрын

Yes but the overhead. There are infinite costs associated with the hotel

@benjamingumundsson4397

2 жыл бұрын

@@caseygust9773 but if he profits from every room then the money infinite would always be higher than the cost infinite

@caseygust9773

2 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

2 жыл бұрын

Cantors diagonal is a contradiction in infinity, not a proof of anything.