I. In (B) all guests move at the same time.
II. In (A) all guests move after an infinite amount of time.
I is an argument like II, both bridge infinity. But in II. the problem gets visible directly, because one guest should stay out in every case.
Hello there,
I had another similar post, where asking for proof for Hilbert’s Hotel.
After rethinking this topic, I want to show you a new example. It tries to show why that the sentence, every guest moves into the next room, hides the fact, that we don’t understand what will happen in this...
The thing is, if there could exist infinite rooms (represented by number 1,2,3...), you have to belief the rooms (numbers) just exist. If you can multiply all numbers by *2, then obviously not all numbers existed before. But if that multiplication works, you still have infinite free rooms and...
I think there are good reasons out there for the n + 1 peano axioms. Still struggling, when its ends up in infinity. I am going to leave this topic for now. Thank you all for your input 👍
Hey @QuantumQuest,
everything is fine, this is of course not a kind of aggressive comment. It is great to have a discussion here about this topic, I hope no one did felt offended by me neither.
First time I listened to Hilberts Hotel, I would argue with A.
A: Every guest is in exactly one...
Thank you for your reply.
If there exists an infinite number of rooms, how can you proof that ever single guest can enter next door? If there is no last guest, how can we proof every guest entered the new room?
So infinite numbers has an succesor, if every natural number has a succesor right? But we said in every succesor is already a guest. So there will be no free room and there is no proof that all guest will find a room, if one more guest arrives?
Why I can not have an infinite number of buses? We do not know if we can have an infinite number of buses. Some people belief in an almighty god, where god can create an infinite number of buses. Also people not believe in god can think that an infinite number of buses could exists, but that's...
I have no trouble to think about an infinite number of buses, no problem. But my point is different, I asked for a proof, that every guest will find a room, when only 1 guest arrives.
1) Yes I can ad infinitum, but I did not see the proof, that all guest find a hotel room.
2) Same thing, how...
I can think about it, so it may be physically possible. Maybe there is a god who can create a universe with infinity space and this hotel. Or maybe there is a universe, which is already infinity years old and has infinity space and has this hotel.
Hilberts Hotel has infinity numbers of rooms and in every room is exactly one guest.
On Wikipedia Hilberts Hotel gets described as well:
Suppose a new guest arrives and wishes to be accommodated in the hotel. We can (simultaneously) move the guest currently in room 1 to room 2, the guest...