this post was submitted on 25 Aug 2024
575 points (98.5% liked)

Map Enthusiasts

3518 readers
19 users here now

For the map enthused!

Rules:

founded 2 years ago
MODERATORS
 
you are viewing a single comment's thread
view the rest of the comments
[–] Lojcs@lemm.ee 37 points 3 months ago* (last edited 3 months 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 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 3 months ago

Borders are just social construct

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

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

[–] subignition@fedia.io 3 points 3 months ago (1 children)
[–] 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 3 months ago (1 children)
[–] 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.