• guywithoutaname@lemm.ee
    link
    fedilink
    English
    arrow-up
    0
    ·
    6 months ago

    Not true. If you define the circumference in terms of pi, you can define the circumference exactly.

        • h3ndrik@feddit.de
          link
          fedilink
          English
          arrow-up
          0
          ·
          edit-2
          6 months ago

          Was going to say the same. Also π isn’t infinite. Far from it. it’s not even bigger than 4. It’s representation in the decimal system is just so that it can’t be written there with a finite number of decimal places. But you could just write “π”. It’s short, concise and exact.

          And by that definition 0.1 is also infinite… My computer can’t write that with a finite amount of digits in base 2, which it uses internally.

          So… I’m crying salty tears, too.

          [Edit: And we don’t even need transcendental numbers or other number systems. A third also doesn’t have a representation. So again following the logic… you can divide a cake into 5 pieces, but never into 3?!]

          • lolcatnip@reddthat.com
            link
            fedilink
            English
            arrow-up
            0
            ·
            edit-2
            6 months ago

            Not sure where you’re going with the decimal thing. Pi had infinite digits in any integer base because it’s irrational.

            • h3ndrik@feddit.de
              link
              fedilink
              English
              arrow-up
              0
              ·
              edit-2
              6 months ago

              I thought that was the joke in the comic? That we can’t know numbers exactly that have an infinite decimal expansion. That’d be true for some rational numbers like a third, if you change the basis of the numeral system it’d be different numbers. And irrational numbers too if you have a integer base. But I’d argue how we write down a number isn’t what determines exactness or ‘infinity’ by the words of the comic.