Last Updated:2025/12/03

To rigorously construct the real numbers, a Dedekind cut partitions the rational numbers so that one side has no greatest element, thereby representing irrational numbers as gaps.

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To rigorously construct the real numbers, a Dedekind cut partitions the rational numbers so that one side has no greatest element, thereby representing irrational numbers as gaps.

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実数を厳密に構成するために、有理数を二つの非空な集合AとBに分け、Aのすべての元がBのすべての元より小さく、かつAに最大元が存在しないようなデーデキントの切断は、有理数の間の隙間として無理数を表現する。

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