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.)
(In reply to
re(3): not true by Gamer)
By "indirectly" do you mean "recursively"?
If you mean recursively, then yes. I did it recursively... (whether you believe it or not).
If you mean something else, I don't understand you.
Gamer, please be more precise in your comments.
And yes, some of what I restated is what others said earlier. I was trying to make more clear (to Bruno) what they had already said. Perhaps I didn't succeed to Bruno's or your satisfaction.