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Dave Winer serves coffee to four logicians

From Dave Winer:

Four logicians are having breakfast. Waitress asks — Will you all be having coffee? The first logician says “I don’t know.” Second says “I don’t know.” Third says “I don’t know.” Fourth says “No.” The waitress returns with their coffees. Who gets coffee?

It does have a solution. The solution is not a cheat or wordplay or a sort of “lightbulb” joke anything extraneous to the puzzle. For example, it’s not “None of them, because logicians drink tea” or “None, because the first three were saying, “I don’t. No.” or “None, because coffee isn’t axiomatic.”

[HINT:]: Think about how each of the logicians would answer the question if she were going to order coffee or not order coffee.

I’ll put the answer in the first comment. [Actually, I changed my mind. I’ll post the answer in a comment if no one else comments.]

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