Computer scientist's "or". If you read it that way it's a yes or no question. 
"Misreading" an exclusive or as an inclusive or is often used in CS/Math jokes.

He's also indicating that his model of personal identity allows branching, i.e. 
you're both. If you think you will be the Prestige beforehand, the man in the 
box will find for himself a rude awakening, if you think you'll be the man in 
the box beforehand, the Prestige is in for a pleasant surprise. It's clearly 
wrong to fix your expectation as being one of these persons, which leaves two 
remaining options. You're both xor you're neither.

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