Thursday, December 3, 2009

About an Unusual Theorem

Yesterday, I saw a professor write the following on the board:
To prove a theorem, [one] need[s] to show it's true in all circumstances.
To prove a [theorem] is false, [one] need[s] to show it's fase for just one case.

How would you go about proving such a theorem? This looks like a nasty case of infinite recursion to me.

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