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[Youtube Review][Veritasium] How An Infinite Hotel Ran Out Of Room
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(Recommended)Popular Videos : [Veritasium] How An Infinite Hotel Ran Out Of Room
https://www.youtube.com/watch?v=OxGsU8oIWjY
Playtime Comments : [Veritasium] How An Infinite Hotel Ran Out Of Room
0:35 "Let's say all rooms are full"
Well ya done it, congrats :\
- point of mistake
Tw*********:
Do diagonal proofs like the one shown at 5:00 have an application in cryptography?
Top Comments : [Veritasium] How An Infinite Hotel Ran Out Of Room
HU*****:
"Imagine if there is a hotel with infinite rooms and you are the manager, what would you do?"
"I'd quit"
"I love you more"
"I love you times infinity!"
Me: pulls out spreadsheet.
"But all the rooms are occupied"
"You move everybody down one room to make space for the new guest"
brain.exe has stopped working
bu*********:
let me just ask why theres so many people coming to that specific hotel
Ba*********:
This is random knowledge I didn’t need to know, “I wanted to know”
St***********:
I'm going to tell someone about this and I'm going to say hey do you know there are different sized infinities? And then I'll have to explain why.
St**********:
Of course I know the maths, but to come up with the analogy is still neat
Th********:
What if you tell ABBA and the rest of the party bus to treat the A’s and B’s in their names like 1’s and 0’s and convert from binary to decimal to get their room number? I think they would also need to put a 1 in front of every name so that names starting with 0’s are still unique
Ne*********:
Imagine being so unlucky that you don't even get a room in an infinite hotel.
Build a second infinite hotel.
La******:
“Infinity + 1” is a kid argument i never guessed would be supported by actual math
Me: Infinities are infinities!
Yes, the fire code
me: that sounds familiar
J*:
There is a great way of understanding different infinities
Imagine the infinite amount of numbers in between 0 and 1, you can take an unlimited amount of decimal numbers.
Now take every single number between 0 and 2, here it is near double of all numbers between 0 and 1, which is infinite, but there are still infinite numbers between 0 and 2.
whoever doesn't have a room.
just add a room named (last room +1 ) .... there will be a room for everyone.
infinity is an infinity ... It doesn't break when it reaches a certain count
Li***:
“This hotel can’t run out of room!”
“Yeah but what if it did?”
Cl**********:
All I care about is the infinite buffet...
Sa**:
I've heard the Hilbert Hotel explained many, many times. This is the clearest, most easily understood explanation I have ever heard. THANK YOU!
Derek: Hold my bus...
Th******:
“An infinite number of infinite busses.”
- “Dear god.”
“But now a big bus pulls up”
- “No.”
so***********:
"Imagine a bus pulls up with an infinite number of people..."
"Okay..."
"Now imagine a BIG bus pulls up..."
Hotel manager: at the end of the hall
The test:
Co****:
I'm just going to remember that all infinities are infinite, but some are more infinite than others
It's like saying 'I have an infinite number of boxes (unrestricted) that I start filling with an infinite number of apples (unrestricted so far)'.
No problem here. But when I start adding 'an infinite number of pears' all of a sudden the apples are a restricted type and the comparison with the boxes doesn't match anymore. It's basically a syntax error. You can only fix this by saying you have an infinite number of fruit (unrestricted).
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