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TED-Ed: Does math have a major flaw? | Jacqueline Doan and Alex Kazachek

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Publisher: TED-Ed
A mathematician with a knife and ball begins slicing and distributing the ball into an infinite number of boxes. She then recombines the parts into five precise sections. Moving and rotating these sections around, she recombines them to... A mathematician with a knife and ball begins slicing and distributing the ball into an infinite number of boxes. She then recombines the parts into five precise sections. Moving and rotating these sections around, she recombines them to form two identical, flawless, and complete copies of the original ball. How is this possible? Jacqueline Doan and Alex Kazachek explore the Banach-Tarski paradox. [Directed by Mads Lundgård, narrated by Addison Anderson, music by Salil Bhayani, cAMP Studio].
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Media Length
4:59
Grade
Pre-K - Higher Ed
Subjects
Science
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Media Type
Instructional Videos
Source:
TED-Ed
Date
2024
Language
English
Audiences
For Teacher Use
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Fine Print: Educational Use

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Concepts

logic, tension
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Additional Tags

axioms, back, ball, boxes, built, choice, experience, finite number, flawless, foundation, geometry, hyperbolic geometry, infinite boxes, laid, make, marbles, mathematical system, mathematician, mathematicians, mathematics, number, paradox, parts, perfect ball, proof, recombines, result, sections
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