Comment on Listen here, Little Dicky

• jsomae@lemmy.ml ⁨3⁩ ⁨weeks⁩ ago

  it’s legit a fraction, just the numerator and denominator aren’t numbers.

  source

  • kogasa@programming.dev ⁨3⁩ ⁨weeks⁩ ago

    No 👍

    source

    • jsomae@lemmy.ml ⁨3⁩ ⁨weeks⁩ ago

      try this on – Yes 👎

      It’s a fraction of two infinitesimals. Infinitesimals aren’t numbers, however, they have their own algebra and can be manipulated algebraically. It so happens that a fraction of two infinitesimals behaves as a derivative.

      source

      • kogasa@programming.dev ⁨3⁩ ⁨weeks⁩ ago

        Ok, but no. Infinitesimal-based foundations for calculus aren’t standard and if you try to make this work with differential forms you’ll get a convoluted mess that is far less elegant than the actual definitions. It’s just not founded on actual math.

        source

        • -> View More Comments