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Results tagged with transfinite-induction
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user 109573
11
votes
Accepted
Is $\in$-induction provable in first order Zermelo set theory?
The answer is no. Take the standard model of Z and add in a $\mathbb{Z}$-sequence of objects, each of whose only element is the previous one. I.e., define
$M=\bigcup_{n<\omega} \bigcup_{m<\omega}\mat …
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