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TED: The Infinite Hotel Paradox

The Infinite Hotel, a thought experiment created by German mathematician David Hilbert, is a hotel with infinite rooms.

submitted by: richanddead
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TED: The Infinite Hotel Paradox. The Infinite Hotel, a thought experiment created by German mathematician David Hilbert, is a hotel with infinite rooms.
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Hits: 3264 | Favorites: 0 | Emailed: 1 | Rating: 3.3 | Category: Science | Date: 01/22/2014
 
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MeGrendel
Male, 40-49, Southern US
 4332 Posts
Thursday, January 23, 2014 8:33:28 AM
Nice pic, richanddead, but that's an illustration of Zeno`s "Achilles and the tortoise". A type of Dichotomy paradox, but not the same.

In Zeno`s "Dichotomy paradox", Homer is attempting to reach a fixed spot (a stationary bus), he never reaches it because me must first complete an ever smaller half-distance unto infinity.

In Zeno`s "Achilles and the tortoise", Achilles is attempting to a catch a moving (albeit slow) target..the tortoise. Achilles will never catch the tortoise as whenever he reaches where the tortoise was, the tortoise has moved on. The distance between the two become infinitely small, but do not reach zero.

I saw paper presented on this years ago. Thought it was interesting paradox, but fails in the real world.

MeGrendel
Male, 40-49, Southern US
 4332 Posts
Thursday, January 23, 2014 8:10:45 AM
DromEd-"Why can't he just hand the next guest the next key instead of pissing off an infinite number of people buy asking them to move?
.

Because there aren`t currently any empty rooms. He only creates empty rooms when someone moves.

DromEd
Male, 40-49, Eastern US
 1532 Posts
Thursday, January 23, 2014 6:46:21 AM
Why can't he just hand the next guest the next key instead of pissing off an infinite number of people buy asking them to move?

5Cats
Male, 50-59, Canada
 24388 Posts
Wednesday, January 22, 2014 8:40:27 PM
@Jake_Justice: You bet they're clean! Didn`t you see that hard working maid?

I :heart: Zeno! His Arrow Paradox still rules!

5Cats
Male, 50-59, Canada
 24388 Posts
Wednesday, January 22, 2014 8:36:35 PM
1:23 "Countably Infinite"?
Isn't that an oxymoron?

You`d need an infinite amount of time to pass out all those keys...


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