• wonderingwanderer@sopuli.xyz
    link
    fedilink
    English
    arrow-up
    4
    ·
    16 hours ago

    It will always reduce to a cycle of 4→2→1→4→2→1, so you won’t end up with a huge number.

    But yeah, it would take infinite time to reach infinite loops, and meanwhile people can get on and off, so in reality nobody dies prematurely…

    • Atlas_@lemmy.world
      link
      fedilink
      English
      arrow-up
      2
      ·
      edit-2
      14 hours ago

      People can die on the trolley,

      Also you’re assuming the collatz conjecture.

      • wonderingwanderer@sopuli.xyz
        link
        fedilink
        English
        arrow-up
        2
        ·
        14 hours ago

        If someone dies due to extraneous circumstances, they would die either way so it doesn’t have to factor into your considerations on whether or not to pull the lever.

        And while I haven’t done a geometric proof to show that for all odd numbers, it will eventually reduce to one, I’ve worked out the sets for every odd number up to twenty and the pattern holds. While that’s not rigorous enough for a theorem, it’s good enough for me.