Veraven@sh.itjust.works to Comic Strips@lemmy.world · 1 day agoThe Infinite Hotelsh.itjust.worksimagemessage-square49fedilinkarrow-up1448arrow-down16file-text
arrow-up1442arrow-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-squareflying_sheep@lemmy.mllinkfedilinkarrow-up2·21 hours agoWrong: ∞±n = ∞ The concept of infinity is well-defined in mathematics. It goes much deeper than that, with countability and differently-sized infinities, but if there are infinite rooms, you always have space.
minus-squarebdonvr@thelemmy.clublinkfedilinkarrow-up5·21 hours agoYes, but walking down the hallway you’ll never find an open room. Space can be made but you can’t just go to the ∞+1 room.
Wrong: ∞±n = ∞
The concept of infinity is well-defined in mathematics. It goes much deeper than that, with countability and differently-sized infinities, but if there are infinite rooms, you always have space.
Yes, but walking down the hallway you’ll never find an open room. Space can be made but you can’t just go to the ∞+1 room.