A Conversation for Infinity, and the Infinite Hotel Paradox

Flea Market: A414523 - Infinity, and the Infinite Hotel Paradox

Post 1

Zak T Duck

http://www.h2g2.com/A414523

Has the whole of h2g2 gone paradox mad or something recently? I found this little gem relating to the Hilbert's Infinite Hotel Paradox. The only problem is that Calroth's userspace (the guy who wrote the article) doesn't appear to have been visited by its owner for nearly two months, so whether my points I made in the entry's fora will go noticed I do not know. If not then I suppose any good SubEd will taker the points on board.

I also noticed a few other promising entries on Calroth's userspace so I'm off to have a look at those too.




Croz (Scout)


A414523- Infinity, and the Infinite Hotel Paradox

Post 2

Gnomon - time to move on

This entry is interesting but it is very much incomplete. The Hotel Paradox was devised as a method of illustrating Georg Cantor's mathematical theory of countable and uncountable sets. This is a mind blowing but not very difficult branch of mathematics. The Hotel Paradox needs to be presented as part of this, not just on its own. Are there any mathematicians out there with time to spare to tell us about Cantor? Or will I have to do it myself?


A414523- Infinity, and the Infinite Hotel Paradox

Post 3

J'au-æmne

Actually there are variously entries on 'Cantor's diagonal argument' http://www.h2g2.com/A383915 and 'What I don't like about Cantor's diagonal argument' http://www.h2g2.com/A386787

Maths being a joyful subject... read http://www.h2g2.com/A384284 the project on numbers and logic smiley - smiley


A414523- Infinity, and the Infinite Hotel Paradox

Post 4

Martin Harper

ooh - that's good. Seems like it would be a nice addition to the guide - if anyone writes an entry on Cantor and suchlike they can link to it (and vica versa), but until then it seems fine as is until that moment...


A414523- Infinity, and the Infinite Hotel Paradox

Post 5

J'au-æmne

Its a good entry as far as it goes, but either the original author or someone else needs to finish it... smiley - smiley


A414523- Infinity, and the Infinite Hotel Paradox

Post 6

Dogster

The "What I don't like about Cantor..." argument is wrong though (which is worth bearing in mind). If anyone's interested I could write a Cantor entry, but the "Cantor's diagonal argument" entry seems pretty complete. The only thing that would be worth adding would be a slightly more mathematical footnote perhaps?


A414523- Infinity, and the Infinite Hotel Paradox

Post 7

Gnomon - time to move on

Cantor's diagonal argument shows that there is an infinity which is uncountable. The Hotel Paradox explores the other infinity, the countable one. I was looking for some of the mathematics that goes with the countable infinity, rather than launching straight into the diagonal argument.


A414523 - Infinity, and the Infinite Hotel Paradox

Post 8

Martin Harper

I don't understand - why can't we have an entry that explores countable infinity in this sort of informal style? It's informative, it's factual, it's complete. Yes, there is info relevant to it that's not in the guide yet - but that's true of all subjects - we had an entry on knives before there was one on forks, remember?


A414523 - Infinity, and the Infinite Hotel Paradox

Post 9

Gnomon - time to move on

You're right!

I'd settle for a few sentences at the end tidying it up and relating to Cantor's theory of countable infinity.


A414523- Infinity, and the Infinite Hotel Paradox

Post 10

Calroth

I'm here!

Sorry about being away... you know how university exams are smiley - winkeye

I'm quite prepared to assume control of my articles again (and I haven't even looked at my other entries to see what's been Recommended yet). It's a great honour and buzz to have been picked out of obscurity for this.

There have been a lot of good points made, and I'm still wondering where to draw the line between technicalities and laymanship. I'm vaguely familiar with Cantor's paradox too, so we'll see where that fits in.

So hold on, I suppose!


A414523- Infinity, and the Infinite Hotel Paradox

Post 11

Monsignore Pizzafunghi Bosselese

I've just called Jaz (http://www.h2g2.com/U161306), he's preparing an entry on the Cantor Set at http://www.h2g2.com/A479739
keep on the good work!


A414523- Infinity, and the Infinite Hotel Paradox

Post 12

Joe aka Arnia, Muse, Keeper, MathEd, Guru and Zen Cook (business is booming)

Set theory is getting a going over then.

Anyone want to help with algebraic structures, great mathematicians I or Introductory Algebra also?

We are looking for mathematicians! smiley - smiley


A414523- Infinity, and the Infinite Hotel Paradox

Post 13

Martin Harper

But you'll settle for anyone? smiley - winkeye

myre - "PR is like a sewer - what you get out of it depends on what you put into it"


A414523- Infinity, and the Infinite Hotel Paradox

Post 14

Joe aka Arnia, Muse, Keeper, MathEd, Guru and Zen Cook (business is booming)

Anyone who enjoys maths is a mathematician smiley - smiley


A414523- Infinity, and the Infinite Hotel Paradox

Post 15

Martin Harper

Calroth! Calroth! Wake Up!

Oh dear. I think this entry is going to have to go to the workshop - it's an uncomplete work - as shown by the "stay tuned" at the bottom - and there's more that can and should be said about infinite hotels. smiley - sadface

I hope he comes back after the mailshot...


A414523- Infinity, and the Infinite Hotel Paradox

Post 16

Zak T Duck

I'm inclined to agree. It's a real shame Calroth isn't around to complete this, it would have proved an intersting topic for inclusion. Oh well, off the the workshop it is then. Perhaps someone else will show a bit more enthusiasm with it.


Thread Moved

Post 17

h2g2 auto-messages

Editorial Note: This conversation has been moved from 'The Writing Workshop' to 'The Flea Market'.

...as the author of this entry seems to have 'left the building'.


Thread Moved

Post 18

Spike Anderson is sorry he can't catch up on a whole month's backlog

Woo-hoo! This one's mine! smiley - smiley

-Spike A.


Thread Moved

Post 19

Martin Harper

Go for it Spike smiley - smiley
Tell us when you've got something to look at smiley - biggrin


Thread Moved

Post 20

Spike Anderson is sorry he can't catch up on a whole month's backlog

Here it is, but it's just a placeholder for now: A702730.

-Spike A.


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