Infinite Hotel Paradox Update 2021. If the hotel is full though that assumes there are already infinity guest bookings. Imagine a grand hotel with an infinite number of rooms.
What if it’s completely booked but one person wants to check in? Or an infinitely full bus of people? In the 1920's, the german mathematician david hilbert devised a famous thought experiment to show us just how hard it is to wrap our minds around the concept of infinity.
Square root rooms, like room radical 2 and room pi, where the guests expect free dessert.
Every room has a number: Adding another infinite amount of guests is saying you want to cram 2*infinity people into infinity rooms. Or an infinitely full bus of people? Jeff dekofsky solves these heady lodging issues using hilbert's paradox.
