Hilbert's Infinite Hotel Meets Its Match

Hilbert's Infinite Hotel Meets Its Match
hilbert-memes, infinity-memes, mathematics-memes, set-theory-memes, cardinality-memes | ScienceHumor.io

Poor David Hilbert. His famous hotel can accommodate infinitely many guests, but when all possible subsets of guests show up, that's 2^∞ people—a cardinality even his infinite hotel can't handle. It's like trying to fit the power set into your living room. Mathematicians call this "running out of infinities," the rest of us call it "Tuesday at the DMV."

More Like This