When two people (especially egotistical smart people) flirt with each other using their intelligence to debate a scholarly issue.
An example of an instance of intellectual grabass would be:
Male professor: "Didn't you think Nietzsche's "Will to Power" was the most influencial work of its day?"
Female professor: "Heavens yes! Foucult, Sarte, and Camus would be utterly unispired without it."
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