Comment on Listen here, Little Dicky
kogasa@programming.dev 2 days agoThe other thing is that it’s legit not a fraction.
Comment on Listen here, Little Dicky
kogasa@programming.dev 2 days agoThe other thing is that it’s legit not a fraction.
jsomae@lemmy.ml 2 days ago
it’s legit a fraction, just the numerator and denominator aren’t numbers.
kogasa@programming.dev 2 days ago
No 👍
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.
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.