How An Infinite Hotel Ran Out Of Room

Veritasium · 2:40

542,651 views · 11,964 likes · May 28, 2026

If there's a hotel with infinite rooms, could it ever be completely full?

Could you run out of space to put everyone?

The surprising answer is yes -- this is important to know if you're the manager of the Hilbert Hotel.…

If there's a hotel with infinite rooms, could it ever be completely full?

Could you run out of space to put everyone?

The surprising answer is yes -- this is important to know if you're the manager of the Hilbert Hotel.…

Watch this and more from Veritasium on Playtoob — no recommendations, no algorithm, just the channels you choose.