Like every other answer to this I've read, I'm not positive how to answer this one. I'm taking "intellectual" to mean a game that you have to think about what you're doing, investigate, and NOT run in guns a blazing. For this reason I'd say the most intellectual game I have is Call of Cthulhu or Doctor Who: Adventures in Time and Space.
I think the Cypher System could handle a Dr Who Campaign with ease.
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