🧠Hilbert's Hotel (The Infinite Rooms Paradox) A hotel…
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🧠Hilbert's Hotel (The Infinite Rooms Paradox)
A hotel with infinitely many rooms is completely full. A new guest arrives. Can the manager accommodate him without building a new room or kicking anyone out?
💬 What if an infinite bus with infinitely many new guests arrives? Can they fit? Answer in the comments! (Solution in first comment 👇)
#brain #hilbertshotel #infinity #mathematics #mindblown
A hotel with infinitely many rooms is completely full. A new guest arrives. Can the manager accommodate him without building a new room or kicking anyone out?
💬 What if an infinite bus with infinitely many new guests arrives? Can they fit? Answer in the comments! (Solution in first comment 👇)
#brain #hilbertshotel #infinity #mathematics #mindblown
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💡 SCIENCE BEHIND THE ILLUSION:
Yes! Mathematician David Hilbert showed that the manager simply moves the guest in room 1 to room 2, room 2 to room 3, and room N to room N+1. Everyone has a room, and room 1 is now vacant for the newcomer! Infinity plus one is still infinity.
Yes! Mathematician David Hilbert showed that the manager simply moves the guest in room 1 to room 2, room 2 to room 3, and room N to room N+1. Everyone has a room, and room 1 is now vacant for the newcomer! Infinity plus one is still infinity.
