this post was submitted on 25 Aug 2024
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[–] Lojcs@lemm.ee 37 points 3 weeks ago* (last edited 3 weeks ago) (4 children)

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

[–] muntedcrocodile@lemm.ee 15 points 3 weeks 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 3 weeks ago

Borders are just social construct

[–] Deceptichum@quokk.au 4 points 3 weeks ago (1 children)

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

[–] subignition@fedia.io 3 points 3 weeks ago (1 children)
[–] CanadaPlus@lemmy.sdf.org 1 points 2 weeks 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 3 weeks ago (1 children)
[–] CanadaPlus@lemmy.sdf.org 1 points 2 weeks 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.