this post was submitted on 25 Aug 2024
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[โ€“] SpaceNoodle@lemmy.world 2 points 2 months ago (1 children)
[โ€“] CanadaPlus@lemmy.sdf.org 1 points 2 months ago

It's kind of subtle how exactly you're using numbers when writing limits. You're either not actually doing infinitesimals, just Cauchy sequences centered around a point, or you are and you get to enjoy the axiomatisation of the hyperreals.