Last Updated
：2025/12/05
transfinite induction
Noun
Japanese Meaning
数学や集合論において、超限帰納法は、順序数や基数などの超限な大きさの順序数集合に対して、数学的帰納法を拡張する方法を指す。
（ plural ）
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(mathematics, set theory) An extension of mathematical induction to well-ordered sets of transfinite cardinality, such as sets of ordinal numbers or cardinal numbers.
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transfinite induction
By applying transfinite induction, the mathematician proved that every ordinal has a unique Cantor normal form.
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By applying transfinite induction, the mathematician proved that every ordinal has a unique Cantor normal form.
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