Jeopardy wall calendar pretending that the coastline paradox doesn't exist

https://lemmy.world/post/39067199

Nah, that’s silly. Asia obviously has the longest coastline.

Sure, based on that paradox, the specific measurement of a given coastline will differ. But if you pick a standard (i.e., 1km straight lines), Asia is easily the longest. Doesn’t matter what standard you pick.

Some infinites are larger than other infinites.
It’s not a true fractal, so the length has some finite bounding. It’s just stupidly large, since you are tracing the atomic structure.

Theorem (No True Scotsman Fractal)

Let F be a geometric object. Then:

  • If F exhibits infinite detail → F is a fractal
  • If F has finite structure → F wasn’t a true fractal anyway

Proof: By definition of true fractals.

This motherfucker coming correct with subscripts.