A never-ending hotel, always full of guests, helps to explain the nature of infinity.

(Part 4 of 6)

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What if I brought an infinite number of hookers to my room?

This must be what Trump thought he has when he got the number of floors wrong in his hotel HAHAHA!

Youtube recommended me this video after I solved Hilbert hotel question at codeforces.

Actually I had a solution to this and trying to publish a paper written by me on this, for any queries and clarifications please feel free to contact :- 9741192212(India)

Gee…thanks for ruining the puzzle aspect about this for anyone new to it. Dumb asses.

what about the resident of the last room ??? !!!

A big problem of the human mind is to think of what is totally irrelevant and futile, like Hilbert thought this.

Have to inform the infinite people on the bus that they are already in the infinitely large hotel with infinite people.

2019?

Why bother with maths? If the manager took the infinite people out of the hotel at the same time as the infinite number of people got out of each bus as it arrived, he would have only one set of infinite people? He could then fit the infinite number of people outside the hotel comfortably into the infinite hotel. Check out http://www.psawa.com/The_7_Dimensions_of_Everything_and_Nothing.html

I actually applied this paradox to my job in a stockroom in HomeGoods in order to keep up with the trash and it actually works really well.

Why does anyone need to move if there are infinite rooms. The new people just move into a room, irrespective of what the current occupants of other rooms are doing.

hi im in room tau of the real number infinite hotel

and the guy in room root 42 is so annoying

I made a short film about this! The trailer is here! https://youtu.be/L1y4a4W_RVY

Infinity*2 = Infinity = Case closed Next please.

If the infinite does not have "end", so the "start" neither, there is no room #1

Sorry their is no vacancy at The Grand Hotel. No finite object can be infinite in number, because anything infinite would require an infinite amount space to exist in, thus leaving no room for anything else. The only thing that can be infinite is infinity itself. The all of the all is the only thing infinite. Everything else is a sub division of it. And that's it. There is nothing more because that is everything. No extra anything can exist because everything that can exist is contained in the all of the all and it is never ending and ever increasing in size if you were going to try and quantify it. You can't. Numbers are a way in which we compare one thing to another to determine length, width, height, volume, speed, velocity, etc, etc & etc. What could you possibly compare infinity too?

That germans should better find a way to fix their cheating emissions on their cars… booooy

What is being described here is the difference between a one dimensional and two dimensional infinity.

Everybody can grasp the idea of a one dimensional infinity. It is the endless string of numbers or in the this case the linear string of rooms in the infinite hotel.

The infinite hotel described is like a row of chalets with infinite length. We don't even need to consider how many storeys the hotel has or it's width. The hotel is infinitely long in one dimension and thus can accommodate infinite guests. The supposed paradox arises when the new guests arrive………

When we introduce the new guest(s) we add a second dimension to the concept. It is helpful to think of this second dimension as time, but we could just as easily be adding infinite storeys to the hotel.

It would take time for each guest to move to the next room. We cannot fully describe this movement of guests using only one dimension, because it has now become a 2D concept. If you watch Carl Sagan's video on the 4th dimension, you can see the limitations of comprehending shapes from a higher dimensional space.

In this 2D infinity, we can accommodate an infinite number of new guests in the second infinite plane.

Hi

Why david choose the hotel to explain his theory

Why not a train or something ????

is that david mitchell?

This one gets an instant subscription. TedED had an animation about this but they made a really shitty boring video. This channel did it even better and they did it way faster.

I can see this being a problem in regards to the hotel, but in regards to life itself, and time it isn't taking into account death. death itself, in this account, is not a non-existance, but the dead being also doesn't use space in the same way as does the living being. The reason for the mistake here is a non-understanding of space, which is what he is basing his theory and conjecture on; see space as both empty and full at the same time (that's infinity) ; and then, well, then we get go into the understanding of Time which is both space and no space equally.

Which infinity does this conundrum best address?

Can some one explain to me. How in an infinite hotel, where every room is infinitely occupied by a set of infinite people. Can each person move one room to the right? .. There is never going to be a space available for them to shift!? It's infinitely occupied.. They would keep asking each person to the right to shift and no ones ever going to get the opportunity to actually move.

You're assuming there's an infinite amount of space available which is contradicting. How can you have a hotel full with an infinite amount of people. Suddenly vacant with an infinite amount of space available.

If there are 2 guests in the hotel and 3 more arrive the 5th guest will have to walk to room 5 which is the closest available room. If there were 4 in the hotel and 5 arrive, the 9th guest will have to walk to room 9, 3B guests and 3B + 1 arrive, guest number 3B+1 will have to walk to room 3B+1, etc. What's my point? If there are N guests in the hotel and more than N guests arrive, the last arriving guest will have to get a key to room that was not previously occupied. Bottom line is, the hotel cannot contain an infinite number of people