(1) What is a question? (2) Are there sentences that have the grammatical form

(1) What is a question? (2) Are there sentences that have the grammatical form

(1) What is a question? (2) Are there sentences that have the grammatical form of a legitimate question, yet nevertheless fail to be legitimate questions? (3) Does this sentence (i.e., (3)) have the grammatical form of a legitimate question, yet fail to be a real question?

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