• ThatGuy46475@lemmy.world
    link
    fedilink
    arrow-up
    2
    ·
    4 hours ago

    It’s not circular reasoning, it’s a step of mathematical induction. First you show that something is true for a set of 1, then you show that if it’s true for a set of n it is also true for a set of n+1.

    • sp3ctr4l@lemmy.zip
      link
      fedilink
      English
      arrow-up
      1
      ·
      3 hours ago

      As with Kogasa, you’re right that this is not circular reasoning, it is induction.

      I judged it a bit too quickly.

      However, it isn’t a valid proof of induction.

      I tried to work through exactly where and how it fails in another comment.

      So… it is still fallacious reasoning of some kind, but yes, not the circular reasoning fallacy.