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\nHow An Infinite Hotel Ran Out Of Room\n

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\n\nPublisher:\n\nVeritasium\n\n\n
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\nThe Hilbert Hotel is an imaginary hotel with infinite rooms, each numbered sequentially. Despite all rooms being occupied, the manager can still accommodate new guests by moving current guests around. With an infinite number of guests...\nThe Hilbert Hotel is an imaginary hotel with infinite rooms, each numbered sequentially. Despite all rooms being occupied, the manager can still accommodate new guests by moving current guests around. With an infinite number of guests arriving, even more complex strategies can be used, such as moving guests to rooms with doubled numbers or organizing them in a grid. However, when an infinite number of people, identified by infinitely long names, arrives, the challenge arises that not all infinities are the same size. Some infinities are larger than others, making it impossible to accommodate everyone. This paradox highlights the fascinating concept of different sizes of infinity, a discovery that played a key role in the development of modern technology.\n
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Resource Details

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Educator Rating
Not yet Rated
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Media Length
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5:56
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Grade
9th - Higher Ed
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Subjects
Math
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Media Type
Instructional Videos
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Source:
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\nVeritasium\n\n
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Date
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2021
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Language
English
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Audiences
For Teacher Use
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Usage Permissions
Fine Print: Educational Use
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Concepts

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infinity, pull
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Additional Tags

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veritasium, science, physics, infinitely long, infinite number, 1st letter, infinite spreadsheet, hilbert hotel, bus shows, room number, infinite, number, letter, shows, hotel, guests, people, room, room 2, room 3, room 1, rooms, person, imagine, forever, limit, start, move, line, position, etcetera
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Classroom Considerations

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Best For: Explaining a topic
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