Use induction to show that every finite set of real numbers has a maximal elementand a minimal element. I was thinking about using well-ordering principle for minimal however how do I use induction on this one?
Last edited by CaptainBlack; Dec 13th 2010 at 02:19 AM. Reason: thread title
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Originally Posted by mathsohard Use induction to show that every finite set of real numbers has a maximal elementand a minimal element. I was thinking about using well-ordering principle for minimal however how do I use induction on this one? Trivially true if the set has a single element. Suppose it true for sets with k elements. Then for a set with k+1 elements you may partition the set into a set A with k elements and a singleton, ... CB
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