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Axiom of real determinacy : ウィキペディア英語版 | Axiom of real determinacy In mathematics, the axiom of real determinacy (abbreviated as ADR) is an axiom in set theory. It states the following: :Consider infinite two-person games with perfect information. Then, every game of length ω where both players choose real numbers is determined, i.e., one of the two players has a winning strategy. The axiom of real determinacy is a stronger version of the axiom of determinacy, which makes the same statement about games where both players choose integers; it is inconsistent with the axiom of choice. ADR also implies the existence of inner models with certain large cardinals. ADR is equivalent to AD plus the axiom of uniformization.
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 real determinacy」の詳細全文を読む
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