Comment on Listen here, Little Dicky

• kogasa@programming.dev ⁨2⁩ ⁨days⁩ ago

  No 👍

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  • jsomae@lemmy.ml ⁨2⁩ ⁨days⁩ 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 ⁨days⁩ 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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      • jsomae@lemmy.ml ⁨2⁩ ⁨days⁩ ago

        Why would you assume I don’t have the context? I have a degree in math. I could be wrong about this, I’m open-minded. By all means, please explain how infinitesimals don’t have a consistent algebra.

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