Comment on Listen here, Little Dicky

• jsomae@lemmy.ml ⁨2⁩ ⁨months⁩ ago

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

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  • kogasa@programming.dev ⁨2⁩ ⁨months⁩ ago

    No 👍

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    • jsomae@lemmy.ml ⁨2⁩ ⁨months⁩ 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.

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      • kogasa@programming.dev ⁨2⁩ ⁨months⁩ 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.

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