cyrano@lemmy.dbzer0.com to Science Memes@mander.xyzEnglish · 6 days agoInfinite Hotel Paradoxlemmy.worldexternal-linkmessage-square39fedilinkarrow-up1451arrow-down19file-textcross-posted to: comicstrips@lemmy.world
arrow-up1442arrow-down1external-linkInfinite Hotel Paradoxlemmy.worldcyrano@lemmy.dbzer0.com to Science Memes@mander.xyzEnglish · 6 days agomessage-square39fedilinkfile-textcross-posted to: comicstrips@lemmy.world
cross-posted from: https://lemmy.world/post/25703033 https://en.wikipedia.org/wiki/Hilbert's_paradox_of_the_Grand_Hotel
minus-squareexpr@programming.devlinkfedilinkEnglisharrow-up12·5 days agoIt has to do with countably infinite sets. The analysis on Wikipedia does a better job of explaining the concept: https://en.m.wikipedia.org/wiki/Hilbert's_paradox_of_the_Grand_Hotel#Analysis The whole point is that it’s something we can prove mathematically that is highly unintuitive.
It has to do with countably infinite sets.
The analysis on Wikipedia does a better job of explaining the concept: https://en.m.wikipedia.org/wiki/Hilbert's_paradox_of_the_Grand_Hotel#Analysis
The whole point is that it’s something we can prove mathematically that is highly unintuitive.