Hausdorff paradox
The Hausdorff paradox is a paradox in mathematics named after Felix Hausdorff. It involves the sphere S2 (a 2-dimensional sphere in R3). It states that if a certain countable subset is removed from S2, then the remainder can be divided into three disjoint subsets A, B and C such that A, B, C and B ∪ C are all congruent. In particular, it follows that on S2 there is no finitely additive measure defined on all subsets such that the measure of congruent sets is equal (because this would imply that the measure of B ∪ C is simultaneously 1/3 and 2/3 of the non-zero measure of the whole sphere).
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Hausdorff paradox
The Hausdorff paradox is a paradox in mathematics named after Felix Hausdorff. It involves the sphere S2 (a 2-dimensional sphere in R3). It states that if a certain countable subset is removed from S2, then the remainder can be divided into three disjoint subsets A, B and C such that A, B, C and B ∪ C are all congruent. In particular, it follows that on S2 there is no finitely additive measure defined on all subsets such that the measure of congruent sets is equal (because this would imply that the measure of B ∪ C is simultaneously 1/3 and 2/3 of the non-zero measure of the whole sphere).
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In de maattheorie, een deelgeb ...... een gelijk oppervlak beslaan.
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The Hausdorff paradox is a par ...... ble then they have equal area.
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Теорема (или парадокс) Хаусдор ...... ества будут иметь равную меру.
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ハウスドルフのパラドックス(英: Hausdorff par ...... スを援用して、バナッハ=タルスキーのパラドックスを証明した。
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737,035,017
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In de maattheorie, een deelgeb ...... t van de gehele bol zou zijn).
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The Hausdorff paradox is a par ...... measure of the whole sphere).
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Теорема (или парадокс) Хаусдор ...... в и составить из них три копии
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ハウスドルフのパラドックス(英: Hausdorff par ...... スを援用して、バナッハ=タルスキーのパラドックスを証明した。
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Hausdorff paradox
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Hausdorff-paradox
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Теорема Хаусдорфа
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ハウスドルフのパラドックス
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