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[-] Lojcs@lemm.ee 37 points 2 months ago* (last edited 2 months ago)

No, because borders are made up by humans and humans can't write down or even measure infinitely small

[-] muntedcrocodile@lemm.ee 15 points 2 months ago

Some borders drawn as straight lines on maps sure. But we also define borders by rivers and all sorts of other fractal things.

[-] Xeroxchasechase@lemmy.world 7 points 2 months ago

Borders are just social construct

[-] Deceptichum@quokk.au 4 points 2 months ago

We can if we make tools to do it for us.

[-] subignition@fedia.io 3 points 2 months ago
[-] CanadaPlus@lemmy.sdf.org 1 points 2 months ago

Actually, in this case, it's easily solved. Trying to measure an infinitely complex curve will never halt, answer found.

[-] SpaceNoodle@lemmy.world 2 points 2 months ago
[-] 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.

this post was submitted on 25 Aug 2024
576 points (98.6% liked)

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