How An Infinite Hotel Ran Out Of Room

The video explores the concept of Hilbert's Hotel, a thought experiment about infinite rooms and guests. It demonstrates how to accommodate infinite guests using room shifting and spreadsheets. However, it highlights the limitations when dealing with uncountably infinite guests, illustrating that some infinities are larger than others. This concept has profound implications, leading to technological advancements.

What new insight or understanding did you gain from this video?