Eldritch Abominations

Behold! The Ancient Monster of Real Analysis!

(Also: dRoy and Matues, you are now my two favourite people in this thread. ^_^ Sorry Enthryn. And Ozbourne.)

edited 6th Sep '12 7:15:59 PM by Noaqiyeum

Here's one◊.

Iä! Iä! Weierstrass fhtagn!

...though that's still nowhere near as unsettling as the Banach–Tarski paradox, in my opinion. The axiom of choice is just freaky sometimes. Knowing how the construction works doesn't make it stop being weird.

I personally don't think Banach–Tarski paradox is that weird. It involves infinite scatterings, so it sounds conceptually similar to "there exist a bijection between two line segments of different lengths" (both being continuous).

x3 How about the Cauchy distribution, full of "does not exist"?

edited 6th Sep '12 8:45:49 PM by Trivialis

It's kind of just using a definition of 'volume' that refers to the number of points in the defined space. All the volumes in question have the same cardinality, so of course they have the same 'size'. :P

Behold: PENROSE CHICKENS◊! ...okay, they're more on the 'shoggoth', 'Cthulhu' level of abomination than the 'Yog-Sothoth' level, but still. :P

edited 6th Sep '12 9:03:33 PM by Noaqiyeum

Heh, Penrose.

edited 6th Sep '12 9:08:43 PM by dRoy

The fact that they attributed the staircase correctly was the best thing about that film. :D