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The Banach-Tarski paradox states that a spherical object can be cut into pieces and reassembled into two spheres, each with volume equal to the first. Theoretically, it works because the surface of a sphere in theory is an infinite collection of points, but the paradox does not apply in real life because an actual spherical object is a finite collection of atoms.

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The Banach-Tarski paradox states that a spherical object can be cut into pieces and reassembled into two spheres, each with volume equal to the first. Theoretically, it works because the surface of a sphere in theory is an infinite collection of points, but the paradox does not apply in real life because an actual spherical object is a finite collection of atoms.

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Emily Banach is 5' 2 1/2".

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Stefan Banach is the inventor of Banach algebra.

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Alfred Tarski was born on January 14, 1901.

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Alfred Tarski died on October 26, 1983.

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