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In Chapter 8 we have constructed models of Set Theory in which the Axiom of Choice failed. However, these models were models of Set Theory with atoms, denoted ZFA, where atoms are objects which do not have any elements but are distinct from the empty set.

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Models in Which AC Fails

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  • 发表日期：

    2025年

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  • Lorenz J. Halbeisen

摘要

In Chapter 8 we have constructed models of Set Theory in which the Axiom of Choice failed. However, these models were models of Set Theory with atoms, denoted ZFA, where atoms are objects which do not have any elements but are distinct from the empty set.