I'm a bit confused on the subject of transfinite induction. I've read that it is equivalent to usual induction on the ordinal number ω (presumably a proof of this can be found in a standard book on the subject - any suggestions?)(adsbygoogle = window.adsbygoogle || []).push({});

Does anyone have an example of a case in which this isn't true? In other words where these two forms of induction do not coincide? I can't seem to think of one myself.

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# Transfinite induction

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