@@CallMeMak. They're being born *on* the bus. The real REAL *REAL* question is who in their right mind would want to work at a Hotel with an infinite amount of customer service requests
@@jdh9419 there's an actual infinite amount of clones of the manager that work for certain time and then change positions. The real REAL REAL REAL question is who is doing all the financial management and logistics of it
@@CallMeMak. The manager would be responsible for the financial management and logistics, so half of the infinite clones cover that job. The real *real* REAL *REAL* *R E A L* question is why the hell we're still going at this
@@CallMeMak. In a world such as this with the theoretical infinite hotel, financial management is not an overall issue and more of an inconvinence. An infinite number of rooms means that there was an infinite amount of resources to construct them, as well as an infinite amount of time. Given an infinite amount of time, a simplified equation will be formed to best calculate the logistics, raising the efficiency of the operation.
To prove there are infinite prime numbers isn't that lengthy. Assume there are a finite number of primes a,b,c. A number n, has prime composites a,b,c. Now what are the prime composites of n+1? Well it can't be a,b or c. Hence it is another prime number. Continue this pattern to infinity.
Well, that sounds logical, but not that strict. While it can be stated, that each time we change a number n by 1, it still can be written as a unique product of primes, and has a possibility of having a different prime number as one of its factors, sometimes the pattern would not work, since there will be the same prime components as in the previous iterations of the operation. The only times there will 100% be a new prime factor is if the number itself is a prime (like, the factors of 2 is 1 and 2, 3 is 1 and 3 and so on). Basically what I'm trying to say is that the fact that there is an infinite amount of prime numbers comes not from a direct explanation, but from an another fact that there is an infinite amount of numbers as a whole, meaning that there will also be an infinite amount of primes. I think that the most decent explanation for this is a point-set topological proof, since it's the most elegant one imho. Although an analytic proof is also really good. Thanks for your explanation and if you have something to add, then please do it! Have a good one :)
this video is really underrated! i think the editing and execution of this video are really smooth. i'd also love to see a minecraft explanation of the banach-tarski paradox, but i wouldn't put it against you if you couldn't find a way to demonstrate it lol
Hi! I'm using adobe and sometimes add custom made effects from after effects (there is a feature that allows you to translate some presets and it's very useful)
I know of a really good example of a scenario which would never work. I believe I saw it on 3B1B's channel. Let's say that at the infinite hotel, an infinite number of infinite buses with an infinite number of people all need a room. They each have a unique name consisting of an infinite string of As and Bs. If you want a second to try and figure out why this wouldn't work, I'll put the answer inside a reply.
No matter how many people you put into a room, there will still always be people that need a room no matter what you try to do. Let's say we have 10 people with 10 character strings for names for simplicity's sake: AAAAAAAAAA, BBBBBBBBBB, ABABABABAB, BABABABABA, AABBAABBAA, BBAABBAABB, AAAAABBBBB, BBBBBAAAAA, ABBBBBBBBA, BAAAAAAAAB. You can take the first letter opposite of the first, so B, then the opposite of the second letter of the second guest, A, then third for the third, B, and so on until you get an entirely unique letter of strings, in our case BABBBAABAA, and it will always be someone who does not have a room.
@@fdsfd1 So you're basically making a completely different element? Yeah, that should work, since there are infinite amount of guests, and by reversing 1 of the elements of each individual guest, you'll create someone who doesn't have a room! That's a very clever example of an inverse element, thank you for sharing :)
![Yeat & Summrs - GO2WORK [Official Music Video]](http://i.ytimg.com/vi/NEFEwfPcXRA/mqdefault.jpg)
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RUclips commenters needs to calm down and stop only caring about subscribers.
Yeah, let's not turn this guy into a pdf file
@@supermagmalol
the youtube algorithm absolutely done this dude dirty! he deserves more subs
How is this only 111 subs. Man most underated channel ever.
You will become very big.
Ill make that subcount 112
Make it 165!
when i saw the thumbnail i genuinely thought this video has at least 10k views and 10k subscribers
this is great stuff, keep it up mate
thanks you for the support! I really appreciate it :)
One of the best explanations that ive ever seen for hilbert's hotel
NEW MIC SOUNDS SO GOOD!! Also I enjoy how this incorporated math subjects with the visual elements of Minecraft 🎉
This vid deserves to blow up, it is beautifully explained and shouldn’t mind-melt too many people..
I don't understand anything at all but the video editing is so good, i'll give you a like and leave a comment here for the algorithm to reach you 👍
thanks :)
The real question is why the hell anyone would ever willing stay in a Hotel that constantly tells you to change room positions
Some people just love to hike and go by foot! The real REAL question is how the hell is there an infinite number of these people
@@CallMeMak. They're being born *on* the bus. The real REAL *REAL* question is who in their right mind would want to work at a Hotel with an infinite amount of customer service requests
@@jdh9419 there's an actual infinite amount of clones of the manager that work for certain time and then change positions. The real REAL REAL REAL question is who is doing all the financial management and logistics of it
@@CallMeMak. The manager would be responsible for the financial management and logistics, so half of the infinite clones cover that job. The real *real* REAL *REAL* *R E A L* question is why the hell we're still going at this
@@CallMeMak. In a world such as this with the theoretical infinite hotel, financial management is not an overall issue and more of an inconvinence. An infinite number of rooms means that there was an infinite amount of resources to construct them, as well as an infinite amount of time.
Given an infinite amount of time, a simplified equation will be formed to best calculate the logistics, raising the efficiency of the operation.
This is a great vid to listen to while I craft/draw!! I'd love to see something longer :3
Have fun creating beautiful drawings! ;)
To prove there are infinite prime numbers isn't that lengthy. Assume there are a finite number of primes a,b,c. A number n, has prime composites a,b,c. Now what are the prime composites of n+1? Well it can't be a,b or c. Hence it is another prime number. Continue this pattern to infinity.
Well, that sounds logical, but not that strict. While it can be stated, that each time we change a number n by 1, it still can be written as a unique product of primes, and has a possibility of having a different prime number as one of its factors, sometimes the pattern would not work, since there will be the same prime components as in the previous iterations of the operation. The only times there will 100% be a new prime factor is if the number itself is a prime (like, the factors of 2 is 1 and 2, 3 is 1 and 3 and so on). Basically what I'm trying to say is that the fact that there is an infinite amount of prime numbers comes not from a direct explanation, but from an another fact that there is an infinite amount of numbers as a whole, meaning that there will also be an infinite amount of primes. I think that the most decent explanation for this is a point-set topological proof, since it's the most elegant one imho. Although an analytic proof is also really good. Thanks for your explanation and if you have something to add, then please do it! Have a good one :)
this video is really underrated! i think the editing and execution of this video are really smooth.
i'd also love to see a minecraft explanation of the banach-tarski paradox, but i wouldn't put it against you if you couldn't find a way to demonstrate it lol
Oh my god, you literally just gave me the idea for the next video right now! I almost forgot about this one, and you made me remember! Thank you :)
I'll think of how to put it. Might take some time though)
10 seconds in and bros editing is unmatched
thanks :)
You deserve way more than 146 subs, soooo good vid.
ngl this deserves more views and subs
this channel is way underrated it should have 1m😊
What editing software do you use? This is impeccable!
Hi! I'm using adobe and sometimes add custom made effects from after effects (there is a feature that allows you to translate some presets and it's very useful)
4:27 How on earth did you prove the continuum hypothesis???
Are you talking about Cantor's continuum?
@@CallMeMak. I believe so. That graphic has "subsets of integers" listed under aleph-1, which would imply that 2^N0=N1.
Thanks for making a non flashy video in 2024, great vid tho
Oh yeah, I watched the Veritasium video about this!
ah sweet lois there's underrated youtube channels getting recommended to me
Same. im getting like ONLY 100- subs channels lol
You're gonna become big just calling it rn 😳
Ah yes
i got my key and im walking to it for a year now
the room number is 10x10^10002
Bro I thought this guy, I had 100k subs. but he sadly has 188, also new sub!
Persona music, nice
Underrated
Very Veritasium.
I see this is an absolute compliment, thanks! This guy is awesome: proving that having a PhD in math is actually worth a while :)
I understand everything.
I know of a really good example of a scenario which would never work. I believe I saw it on 3B1B's channel.
Let's say that at the infinite hotel, an infinite number of infinite buses with an infinite number of people all need a room. They each have a unique name consisting of an infinite string of As and Bs.
If you want a second to try and figure out why this wouldn't work, I'll put the answer inside a reply.
No matter how many people you put into a room, there will still always be people that need a room no matter what you try to do.
Let's say we have 10 people with 10 character strings for names for simplicity's sake: AAAAAAAAAA, BBBBBBBBBB, ABABABABAB, BABABABABA, AABBAABBAA, BBAABBAABB, AAAAABBBBB, BBBBBAAAAA, ABBBBBBBBA, BAAAAAAAAB. You can take the first letter opposite of the first, so B, then the opposite of the second letter of the second guest, A, then third for the third, B, and so on until you get an entirely unique letter of strings, in our case BABBBAABAA, and it will always be someone who does not have a room.
@@fdsfd1 So you're basically making a completely different element? Yeah, that should work, since there are infinite amount of guests, and by reversing 1 of the elements of each individual guest, you'll create someone who doesn't have a room! That's a very clever example of an inverse element, thank you for sharing :)
@@CallMeMak. No problem! I suggest watching 3B1B's video on it. It was extremely interesting!
REMEMBER ME WHEN U BECOME FAMOUS
How tf does this video has not even 1k views 💀
nice vid
GREAT SHIT
"NOOOO!"😡🗣🔥🔥
Investing in 305 subs - expecting 305k
So how can i use bathroom in infinite hotel?
That's the fun part: you don't.
@@CallMeMak. oh. Damn it
Hi before u become famous
VIN DIESEL!!!!
100th like