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In Chapter 3 we have seen Zermelo’s second proof of 1907 that every set can be well-ordered (see THEOREM 3.23). Moreover, Zermelo’s proof shows that the Axiom of Choice is in fact equivalent to the Well-Ordering Principle.

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Forms of Choice

  • 章节

  • 发表日期：

    2025年

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  • Lorenz J. Halbeisen

摘要

In Chapter 3 we have seen Zermelo’s second proof of 1907 that every set can be well-ordered (see THEOREM 3.23). Moreover, Zermelo’s proof shows that the Axiom of Choice is in fact equivalent to the Well-Ordering Principle.