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)_/¯
Dultas@lemmy.world 2 months ago
The Gabriel’s horn / painter’s paradox is a good one too.
SLVRDRGN@lemmy.world 2 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.