The Banach–Tarski Paradox

The Banach–Tarski Paradox

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Math topics:
_Infinity_##Infinity##_Countable_set_##Countable set##_Uncountable_set_##Uncountable set##_Hilbert's_paradox_of_the_Grand_Hotel_##Hilbert's paradox of the Grand Hotel##_Elementary_geometry_##Elementary geometry##_Line_(geometry)_##Line (geometry)##_Point_(geometry)_##Point (geometry)##_Sphere_##Sphere##_Cardinal_numbers_##Cardinal numbers##_Cardinality_##Cardinality##_Finite_set_##Finite set##_Infinite_set_##Infinite set##_Mathematical_objects_##Mathematical objects##_1_(number)_##1 (number)##_Set_(mathematics)_##Set (mathematics)##_Natural_number_##Natural number##_Mathematics_##Mathematics##_Sequence_##Sequence##_Bijection_##Bijection##_Real_number_##Real number##_Numbers_##Numbers##_Addition_##Addition##_Decimal_##Decimal##_Number_##Number
Other topics:
_Logic_##Logic##_Definition_##Definition##_Truth_##Truth##_Fact_##Fact##_Abstraction_##Abstraction##_Mathematics_##Mathematics##_Abstraction_##Abstraction##_Infinity_##Infinity
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