Veraven@sh.itjust.works to Comic Strips@lemmy.world · 1 day agoThe Infinite Hotelsh.itjust.worksimagemessage-square49fedilinkarrow-up1458arrow-down15file-text
arrow-up1453arrow-down1imageThe Infinite Hotelsh.itjust.worksVeraven@sh.itjust.works to Comic Strips@lemmy.world · 1 day agomessage-square49fedilinkfile-text
TED-Ed - The Infinite Hotel Paradox https://en.wikipedia.org/wiki/Hilbert's_paradox_of_the_Grand_Hotel
minus-squareCXORA@aussie.zonelinkfedilinkEnglisharrow-up11·1 day agoDepends on the size of the infinities. If you have an infinite natural number of guests, but infinite real number of rooms, then you have more rooms than guests.
minus-squareholomorphic@lemmy.worldlinkfedilinkarrow-up8·1 day agoIf you can see doors to enter each room, then they are countable.
minus-squareHeuristicAlgorithm9@feddit.uklinkfedilinkarrow-up4·1 day agoHow do you know the uncountable doors aren’t there? You wouldn’t be able to see them amyway
minus-squareholomorphic@lemmy.worldlinkfedilinkarrow-up1·13 hours agoHow would anyone get into one of those free, uncountable rooms if they can’t see them.
Depends on the size of the infinities. If you have an infinite natural number of guests, but infinite real number of rooms, then you have more rooms than guests.
If you can see doors to enter each room, then they are countable.
How do you know the uncountable doors aren’t there? You wouldn’t be able to see them amyway
How would anyone get into one of those free, uncountable rooms if they can’t see them.