There was once a hotel in the mountains that was so popular with guests, the manager decided to extend it. Yet still it remained full. The Manager continued to extend it, until eventually it became infinitely large. One day much to his surprise, no spare rooms could be found in his now infinite hotel. All the mathematical calculations, which he normally relied on to find the rooms, just wouldn't work...
Did You Know?
This film is based around David Hilbert's Paradox of the Grand Hotel; a mathematical paradox relating to infinity. In the presentation of this paradox a hotel with an infinite number of rooms, and an infinite number of checked-in guests, can be shown to accommodate arbitrary numbers of additional guests, which raises interesting questions regarding countable infinities and the implausibility of real-world infinite objects. See more