If the prisoner gives a true statement, then the King is forced to have him eaten by lions.
If the prisoner gives a false statement, then the King is forced to have him trampled by buffalo.
If the prisoner gives a statement that is neither true nor false, then the King has no obligations and can kill the prisoner however he chooses.
I think the tricky part is the word "statement". I believe anything that includes "...will..." is not really a statement for the very reason we can not evaluate it (true or falls)
What about the statement: "2*2 will be 26". Is it true or falls?
I have a better statement "1+1 is 2 and 1+1=10" (sure - binary). Each part as a separate sentence is true, so it must be true, yet ...
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Am I overthinking this?
Thanks,
Byron