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A math fairy tale. There's always another room.
13 lut 2017 · The idea goes back to the German mathematician David Hilbert, who used the example of a hotel to demonstrate the counter-intuitive games you can play with infinity. Suppose that your hotel has infinitely many rooms, numbered 1, 2, 3, etc.
Hilbert's paradox of the Grand Hotel (colloquial: Infinite Hotel Paradox or Hilbert's Hotel) is a thought experiment which illustrates a counterintuitive property of infinite sets.
You run a hotel—that infinite hotel that philosophers and mathematicians like to theorize about. Taking care of your guests is your top priority. Most of them are ghosts. ~5 min play time. Controls: ⬆⬇ ⬅ to move/advance dialogue. ⬆⬇ to move between dialogue options; to select.
4 paź 2024 · The infinite hotel paradox, also known as Hilbert's hotel paradox, is a thought experiment that explores the fascinating concept of infinity. Imagine a hotel with infinitely many rooms numbered 1, 2, 3, and so on. Now, suppose the hotel is completely full, with a guest occupying every room.
Hilbert's Hotel, named after mathematician David Hilbert, is a hotel with an infinite number of rooms. Imagine that every single one of them is occupied. What does the manager do when someone else shows up and wants a room? He doesn't need to turn that person away.
31 maj 2017 · Imagine a Grand Hotel with a (countably) infinite number of floors and rooms. On this particular night, the hotel is completely full. Late in the evening, you arrive at the hotel and...
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