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Proof by fucking obviousness
(sh.itjust.works)
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this post was submitted on 20 Oct 2024
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One point on the line
Take 2 points on normal on the opposite sides
Try to connect it
Wow you can't
This isn't a rigorous mathematic proof that would prove that it holds true in every case. You aren't wrong, but this is a colloquial definition of proof, not a mathematical proof.
Sorry, I've spent too much of my earthly time on reading and writing formal proofs. I'm not gonna write it now, but I will insist that it's easy
so... maybe its not worth proving then.
Oh trust me, I believe you. Especially using modern set theory and not the Principia Mathematica.
Only works for a smooth curve with a neighbourhood around it. I think you need the transverse regular theorem or something.
Grated