The Infinite Hotel, a thought experiment created by German mathematician David Hilbert, is a hotel with an infinite number of rooms. Easy to comprehend, right? Wrong. What if it's completely booked but one person wants to check in? What about 40? Or an infinitely full bus of people? Jeff Dekofsky solves these heady lodging issues using Hilbert's paradox. [Directed by The Moving Company Animation Studio, narrated by Addison Anderson].

Jeff Dekofsky: The Infinite Hotel Paradox

The Infinite Hotel Paradox

Hilbert's Hotel paradox demonstrates infinity's complexity, showing how an infinitely occupied hotel can accommodate more guests.

A novel approach to an infinite problem: using prime numbers and their powers to assign rooms to an endless stream of guests.

Exploring countable infinity through Hilbert's Hotel enlightens on handling infinite series, contrasting with uncountable infinities.