The Infinite Hotel Paradox - Jeff Dekofsky
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View full lesson: http://ed.ted.com/lessons/the-infinite-hotel-paradox-jeff-dekofsky The Infinite Hotel, a thought experiment created by German mathematician David Hilbert, is a hotel with an infinite number of rooms. Easy to comprehend, right? Wrong. What if it's completely booked but one person wants to check in? What about 40? Or an infinitely full bus of people? Jeff Dekofsky solves these heady lodging issues using Hilbert's paradox. Lesson by Jeff Dekofsky, animation by The Moving Company Animation Studio.
Kommentare
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Infinite of anything would fill the universe
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So many buttons on the elavator drowning in buttons help ahhhh
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What a stupid, useless mindfuck, no wonder I hate Math.
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On the one hand, you say the hotel is "Full"; on the other, you can rearrange the guests to make an empty room, which means the hotel is NOT full. This is self-contradictory, isn't it?
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Herbert's hotel
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You lost me at BCE
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Why can't you just add infinite to the infinite hotel? If that makes any sense
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an infinite amount of trucks each carrying an infinite amount of buses each carrying an in finite amount of passengers.
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I wonder how going up the elevator would feel if you go to the top floor.
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if he loses an infinite profit, he technically has an infinite profit
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Imagine having to walk all those stairs
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every spot in the whole universe would have to be filled with buses, dollars, and people.
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the paradox isnt possible because it would take an infinite amount of time to get all those people rooms and an infinite number of them would die while still in their infinitely long buses
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why not just say "find any empty room" and there's no hastle
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How can something be bigger than infinite?
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Please kill me!
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and there would be an infinite number of hotel killings
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A hotel with a infinite numbers of rooms seems already like a paradox for me being full
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I'm so confused if the hotel is infinite there's space for everyone
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If even one person shows up than it should take an infinitely long amount of time just to tell people to move rooms