I understand how to construct a proof by induction. I've used it many times, for homework because it was clearly what the book wanted, but when I've tried it in a research setting, it's because I have so little control of the objects in working with. So it has become my impression that since induction is non constructive, when you are able to use it, it's a way of saying: "I don't know why it happens, but it always does."(adsbygoogle = window.adsbygoogle || []).push({});

It seems to me like induction is just really convincing. Of course, I'm wrong, I'm just trying to think about why I'm wrong.

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# Why is induction rigorous?

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