• TerminalEncounter [she/her]
    ·
    2 years ago

    By any reasonable and well thought out definition of what exactly counting is, they're the same infinite size cause they can be put into a one-to-one correspondence that is both an injection and surjection (and therefore an equivalence relation). It's the same reason both only even numbers and all positive integers have the same size even though you skip all the odds in the former set.

    • keepcarrot [she/her]
      ·
      2 years ago

      I'd probably choose the top track just because the trolley is not instantaneous and it has a lower rate of death (assuming an above poster's suggestion of derailing it by having the trolley do multi-track drifting)