• gregorum@lemm.ee
    link
    fedilink
    English
    arrow-up
    3
    arrow-down
    1
    ·
    edit-2
    1 year ago

    That’s the whole point of OPs example; infinity can still be bound by limits.

    such as there being no constants? can that not be a limit?

    • usualsuspect191@lemmy.ca
      link
      fedilink
      arrow-up
      3
      ·
      1 year ago

      We can’t really know what’s possible I suppose, it’s more that there’s sort of different “levels” of infinity where one level can contain another within itself, but both are still infinite just the same. When people imagine infinity they picture everything, but it doesn’t need to be.

      Hilbert’s hotel is a good example that illustrates how infinities are weird.