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Comment on Is land inclination included in area calculation?

I would imagine that the area increases significantly, a less extreme example of what they say about fractal coastlines theoretically being able to have a perimeter of infinite length.

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Dultas@lemmy.world ⁨3⁩ ⁨months⁩ ago
The Gabriel’s horn / painter’s paradox is a good one too.

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- SLVRDRGN@lemmy.world ⁨3⁩ ⁨months⁩ ago
  Never heard of it before, that’s another mind melter. How does the volume of the horn end up to neatly be pi ?? YouTube link I found.
  
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jvw@lemmy.blahaj.zone ⁨3⁩ ⁨months⁩ ago
Congratulations! You just uncovered the premise of Cantor’s diagonal argument , which demonstrates this very thing: that there are an infinite number of infinite sets, each of a different size.

Also for some reason I can’t ever wrap my head around, this idea bothers some religious faith leaders enough to want the teaching of it banned in public schools. ¯⁠\⁠_⁠(⁠ツ⁠)⁠_⁠/⁠¯

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