Last Updated:2025/12/01

The Banach-Tarski paradox challenged my intuition when I learned that a solid ball can be split into a finite number of disjoint pieces and then reassembled into two identical balls.

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The Banach-Tarski paradox challenged my intuition when I learned that a solid ball can be split into a finite number of disjoint pieces and then reassembled into two identical balls.

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バナッハ=タルスキーのパラドックスを初めて知ったとき、三次元の球を有限個の互いに素な部分集合に分解して再構成すると元の球と同じものが二つできるという事実が直感に反するように感じました。

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