legendary ball knowledge
Math meme … it’s a math meme!
Is math related to science?
I don’t think so, science deals with reality and math are just floating around
/joke
Hissssss
Just put a sign on the door telling everyone who comes there to go to the inverse wing. Or go set up in the inverse wing of the hotel yourself.
Everyone in the place is moving right along the infinite axis… But there’s a whole empty wing of the hotel if you go left at the front desk.
I don’t get it. Is “tree” some kind of notation?
TREE is an extremely fast-growing function in set theory. TREE(1) equals 1, TREE(2) equals 3, and TREE(3) equals a number so large that its lower bound easily dwarfs Graham’s Number.
its lower bound easily dwarfs Graham’s Number.
Yo you don’t gotta throw shade on Grahams number like that, it’s doing its best
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Yes, TREE(3) is larger than a googolplex or even graham’s number.
That article is not comprehensible to most people
I am one of them. I still can’t get past the Hotel paradox. To me an infinite number of guests cancels out an infinite number of rooms.
Infinite guests = infinite rooms Infinity + n = infinity To say the bus of unbound guests could just move into infinite rooms seems to give a property of rooms without limit that is not shared with the original infinite guests.
The original premize states the hotel is full. Because the only thing that matches infinite rooms are infinite guests.
Apparently I am very stupid. My sister was right all along.
Infinite hotel has infinity guests. You have all the guests move down 10 rooms. Rooms 1-10 are now free. Zero to Infinity and 11 to infinity are equally infinity, since numbers extend into infinity.
In the same manner if you have one set of infinite guests occupy all the even numbered rooms, you will still have an infinite number of rooms open, because the set of all odd (and even) numbers extends infinitely. You could have the first set of infinite guests take each hundredth room (100, 200, 300, etc), then the next set take 99, 199, 299, etc. in that way you could fit 100 sets of infinite guests.
It just illustrates that infinity is not an easily intuitable concept.
What doesn’t make sense to me is infinite rooms and infinite guests and is full. You ask everyone to move down 10 rooms, why is 1-10 now free? You had infinite guests too, wouldn’t more filled rooms appear?
Or Is infinite only infinite (undefined) on the upper end, but defined on the lower? E.g. 1.
You can define the start of an infinite series, just not the end. (Except as ∞ or -∞). You could also have an infinite set that extends both ways.
0 to ∞ contains an infinite amount of numbers. But so does 11 to ∞.
More filled rooms do not “appear”, the rooms just go on without end. These is no “last” guest who moves into some previously unoccupied room. It’s just… endless. Infinite.
It really only makes sense in abstract. Our minds aren’t built to deal with infinity.
Thanks. My mistake was to view infinite as stretching without end in both directions. Today I learned. Thanks.
https://www.youtube.com/watch?v=3P6DWAwwViU
Here is a Numberphile video that describes how large a number we are talking.
Thanks, I get it now!
Why do I always feel like I need a PhD to understand even the first paragraph of Wikipedia articles about math. Is that just me?
yeah where’s the Simple English Wikipedia article for Graham’s number
Graham’s number is big. You just won’t believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it’s a long way down the road to the chemist’s, but that’s just peanuts to Graham’s number.
Go get your PhD and write one yourself!
What about our friend TREE(Graham’s Number)
Haven’t seen them in a while. Hope they’re doing well
Numberphile did a video on TREE(g64) so you gotta go bigger.
BB(TREE(3)) :)
TREE(Rayo(10100))
TREE(yomomma)
Needs more recursion
Also is your username from stormlight archive?Also is your username from stormlight archive?
:)
That’s my secret, I’m always moving.
Let’s say you have to move to the infinite room. How can someone check out of the hotel?
You can check out any time you like
The only issue is that if I have to travel to an infinite distance to the lobby, I’ll never check out.
Just move halfway to the lobby, then again halfway to the lobby and…
…shit.
Don’t worry, you can never be put in a room with an infinite number, only an arbitrarily large one. That’s the idea of the hotel; it has an infinite number of rooms, but every room has a finite number, since you can count forever without reaching infinity.
Whew, I was worried as the infinite passanger on that bus that I’d be put into an infinite room.
There is no infinity room, but there is an infinity pool
