...That is, for each ordinal number α, we can associate the cardinality of the corresponding well-ordered set (called the cardinality of α), but this correspondence is (1) one-to-one for finite ordinals, but (2) infinite-to-one for ordinals greater than ω. *Some of the terminology that mentions "Zorn, MA" is listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…すなわち,各順序数αに対し,対応する整列集合の濃度(これをαの濃度という)を対応させることができるが,この対応は,(1)有限の順序数に対しては1対1の対応であるが,(2)ω以上の順序数に対しては無限対1の対応になる。 ※「Zorn,M.A.」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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