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Has anyone ever described themselves as an “intellectual,” or given it as the answer to the frequently asked question, “And what do you do?” The very term “public intellectual” sometimes affects me rather like the expression “organic food.” After all, there can’t be any inorganic nourishment, and it’s difficult to conceive of an intellectual, at least since Immanuel Kant, whose specialization was privacy. However, we probably do need a term that expresses a difference between true intellectuals and the rival callings of “opinion maker” or “pundit,” especially as the last two are intimately bound up with the world of television. (I recently rewatched the historic 40-year-old ABC News confrontation between Gore Vidal and the late William F. Buckley at the Chicago Democratic Convention. The astonishing thing was that the network gave these two intellects a full 22 minutes to discuss matters after the news. How far we have fallen from that standard of commentary.)

I did once hear the political scientist Alan Wolfe introduce himself as “a New York intellectual,” staking a claim to a tradition that extends all the way back to the founding of Partisan Review. Taking this characterization to be America’s most lasting contribution to the resonance of the term “public intellectual,”...