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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Axiom of pairing ： ウィキペディア英語版 Axiom of pairing In axiomatic set theory and the branches of logic, mathematics, and computer science that use it, the axiom of pairing is one of the axioms of Zermelo–Fraenkel set theory. == Formal statement == In the formal language of the Zermelo–Fraenkel axioms, the axiom reads: :$\backslash forall\; A\; \backslash ,\; \backslash forall\; B\; \backslash ,\; \backslash exists\; C\; \backslash ,\; \backslash forall\; D\; \backslash ,\; (D\; \backslash in\; C\; \backslash iff\; (D\; =\; A\; \backslash or\; D\; =\; B))$ or in words: :Given any set ''A'' and any set ''B'', there is a set ''C'' such that, given any set ''D'', ''D'' is a member of ''C'' if and only if ''D'' is equal to ''A'' or ''D'' is equal to ''B''. or in simpler words: :Given two sets, there is a set whose members are exactly the two given sets. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Axiom of pairing」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.