I remember my discrete math course in university, where professor told that we can apply induction only to discrete sets. Yet, neither Wikipedia nor Google say nothing about countability importance for induction. They say that underlying set must be well-ordered. The(adsbygoogle = window.adsbygoogle || []).push({}); well-orderingtopic says nothing about countability also, though gives natural numbers as example. I do not understand why a closed interval of reals cannot be well-ordered?

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# Countability in Induction

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