Welcome to Hotel Infinity

[Laoch111]

Excellent story. A bit mind boggling to say the least. ^_^

[rozeboosje]

@Laoch111 Absolutely.

[Muvlonion]

let's visit Hotel uncountably infinite :D

[rozeboosje]

Infinitely much fun for all the family!

[Cagebreaker21]

what is the length of a line (e.g. y = x+1)

[rozeboosje]

I'm not sure whether you directed that at me or at the no4 guy?

The concept of "length" only applies to finite objects. The straight line you describe has no start and end point, so it is "infinitely" long; you can't speak of its "length". You certainly couldn't use its "length" in calculations.

[Cagebreaker21]

Fine then let me twist it around a bit,

how many whole number points are on the line y = x +1? - infinity - ok

2ndly what is the lines width - 0 - agreed?

what is its area? - ???

does 0 win, it does so for length = say 5

[rozeboosje]

huh?

[Cagebreaker21]

a line's length is infinite, its width is 0 what is its area

[rozeboosje]

A line is one-dimensional. In order to have an area something needs to be two-dimensional

[Cagebreaker21]

says who

[rozeboosje]

Mohammed the bush kangaroo (PBUH)

[Muvlonion]

euklid says so in the book 1 of the elements.

definition 2: A line is breadthless length.

definition 5: A surface is that which has length and breadth only.

so a line can not be a surface and hence has no area

[Cagebreaker21]

that means that the 0 win's when you multiply it by infinity. then there is no such thing as a line, it is nothing. but if you have a box, it in itself, is composed of an infinite number of lines all have 0 area and there in lies the problem.

p.s is there an internet copy of euklid's book?

[no4giveness]

no, you are misunderstanding infinity. Infinity equals 1. i wrote out the theory behind infinity but it is to long for comments.the end result is 1

[Cagebreaker21]

im afraid ill need to see it

[penguinet]

yep, i saw hotel hilbert on the o.u. years ago too, anybody know where i can find the original?,it was a brilliant programme.

[rozeboosje]

Alas, I wouldn't know. I read this in a book by John D. Barrow

[Knowntje]

ow btw this story is also used to disprove the steady-state universe (eternal universe)

[Knowntje]

the problem is the the guest will have to wait an infinite amount of time for that guy to finish the grid :p

[rozeboosje]

LOL. Mere technicalities, my friend.

[keelr]

Is'nt this just the same story as the amateur short film "Hotel Infinity"?

[rozeboosje]

I don't know that short film but I would expect it to be based on David Hilbert's work, just like this little vid, and then the similarities would be inescapable :-)

[paindeer]

Aren't you just using words someone else created ?

[alwaysblazen]

lol i go "you know what im saying"

[rozeboosje]

Note to self: stop saying "you know" all the time, you sound like a retard.

[Barklord]

You don't sound like a retard. You're a pretty good story teller.

[rozeboosje]

Thanks. And thanks also for subscribing.

[J6a6so6n]

Oiy... my aching head.

[Daanando]

Nice. I also like the bit about the porter that has to pick up all the shoes people leave out in the hall at night for him to shine. He can't pick up all the shoes on one side of the hallway and then pick up the other half, but has to zig-zag up the hall to get them all.

[rozeboosje]

LOL. That bit I don't remember from John Barrow's book.

[Daanando]

I saw it on an Open University program.

[rozeboosje]

It is a very good point though. If he doesn't zig-zag, he'll spend infinity going down one side of the hallway, and he'll never get a chance to do the other half. If he zig-zags, it'll still take him infinitely long to do it, but at least he can use the "one" infinity he's got to do it :-)

[alwaysblazen]

nice visual of Hilbert's paradox

[rozeboosje]

thanks. I saw that video you mentioned to me. It wrecked me poor little nugget.

[CousinoMacul]

The infinity example that really blew my mind back when I was 16, was that there is a perfect 1 to 1 correlation between every real number between 0 and 1, and every real number between 1 and infinity (X=1/x). That took me a little while to accept.

[rozeboosje]

hmmmm.... test.

[rozeboosje]

AHA! Got it. the ie.youtube links don't work but the doubleyoudoubleyoudoubleyou ones do!

[rozeboosje]

Anyway - yeah. I know that one. Did they show you the explanation with the half circle and the projection? That's what settled it for me.