The Infinite Hotel Paradox

The video explores the concept of infinity through Hilbert's hotel paradox, demonstrating how an infinite hotel can accommodate infinite guests, even when full. It explains how the hotel manager can rearrange guests to make room for new arrivals, including infinite buses of passengers, using mathematical concepts like prime numbers. The video concludes by highlighting the complexity of infinity beyond countable numbers.

Discuss the implications of having an infinite number of buses arriving at the hotel.

What role do prime numbers play in assigning rooms to guests in the hotel?

How does the text suggest that understanding Infinity can become more complex?