A professor tells his class that he will give them a surprise examination sometime next week.
For our purposes, an examination is considered a "surprise" if on that day, the class is not 100% sure that they will get an examination. (If they only suspect it, the examination can still be a surprise.)
Having given the class this warning, is it still possible for the professor to give them a surprise examination next week? (Assume that he will not give them an exam if it will not be a surprise.)
If you are told what he was saying was true, than it is saying a contradiction is true, which is impossible.
My idea is that he is just lying. The exam can't be a suprise if it is a "complete surprise".
So he doesn't give the exam, and that's the answer. If he doesn't give the exam, there isn't going to be a "suprise exam".
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Posted by Gamer
on 2003-04-29 12:20:52 |