cyrano@lemmy.dbzer0.com to Science Memes@mander.xyzEnglish · 4 days agoInfinite Hotel Paradoxlemmy.worldimagemessage-square39fedilinkarrow-up1465arrow-down19file-text
arrow-up1456arrow-down1imageInfinite Hotel Paradoxlemmy.worldcyrano@lemmy.dbzer0.com to Science Memes@mander.xyzEnglish · 4 days agomessage-square39fedilinkfile-text
cross-posted from: https://lemmy.world/post/25703033 https://en.wikipedia.org/wiki/Hilbert's_paradox_of_the_Grand_Hotel
minus-squareGladaed@feddit.orglinkfedilinkEnglisharrow-up8·4 days agoIf you have n rooms and n guests there are no empty rooms. Let n go to infinity and there should still be no empty rooms. The trick of the Hilbert hotel is that if you add a guest to a hotel with countably infinite guests the number of guests does not change.
If you have n rooms and n guests there are no empty rooms. Let n go to infinity and there should still be no empty rooms.
The trick of the Hilbert hotel is that if you add a guest to a hotel with countably infinite guests the number of guests does not change.