• xia@lemmy.sdf.orgOP
    link
    fedilink
    English
    arrow-up
    3
    ·
    30 days ago

    Does this mean the concept of infinity requires an infinite number of infinities?

    • Leate_Wonceslace@lemmy.dbzer0.com
      link
      fedilink
      English
      arrow-up
      4
      arrow-down
      1
      ·
      30 days ago

      Informally, yes. Formally, no. There is no cardinal sufficient such that every cardinal can fit in a set with that cardinality. Isn’t that fascinating? There’s too many infinities for us to mathematically express how many infinities there are.