Countable infinity Memes

Ever tried sleeping while an infinite number of guests are playing musical rooms? Welcome to Hilbert's Hotel, where you can be fully booked and still accommodate infinity more guests by just asking everyone to move to room 2n. The poor exhausted guest just wants 5 minutes without an existential math crisis. This is what happens when mathematicians run hospitality businesses – technically you'll never be turned away, but you'll never get a full night's sleep either. One-star review guaranteed.