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So let's imagine a guy is being sentenced for some arbitrary crime, and he will be hung any time in the next week. The judge sets some really weird conditions: The convict will be hung at mid-day on any weekday, but it will be a surprise when the executioner comes to hang him.
So.. the convict decides it is impossible for him to be killed. He can't be killed on Friday, as that would be the last day, so it wouldn't be a surprise (no other day for him to be hung). But... by the same logic he can't be killed on Thursday, and therefore Wednesday, etc.. all the way to Monday.
What are your guys' thoughts?