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1
A kidnapper tells a pirate that he will be killed at 12:00:30 on one weekday in the following week but that the killing will be a surprise to the pirate and the pirate will not know the day of his execution until a half-minute before his death.
2
The pirate believes he will not be executed. 
3
He begins by logically concluding that the execution can't be on Friday, because if he’s alive Friday morning he will know the day of his execution. [...]