Descartes’s arguments about the certainty of mathematics in the Rules for the Direction of the Mind cannot be understood independently of his attack on the authority of ancient authors. The author maintains this view by reading Descartes’s claims about mathematics through the lens of status theory, a framework for disputation revived by Renaissance dialecticians. Within status theory, “certainty” was closely associated with consensus. The essay shows how Descartes used status to attack the authority of the ancient authors and elevate mathematics (...) as an alternative. Descartes’s arguments about the certainty of mathematics are colored by his effort to make mathematics satisfy the demands of status-based disputation. Specifically, in order to elevate the status of mathematics, Descartes portrayed it as more common—prone to consensus—than he really believed it was. (shrink)

Abstract:Anticipating sixteenth-century trends in vernacular Aristotelianism, Machiavelli concealed his theoretical engagement with Aristotle behind a veil of examples. Scholars have established that in The Prince, Machiavelli employed topical dialectic to update ancient maxims for the modern era. I show how he used dialectic to occupy and transform Aristotelian commonplaces that justified Renaissance philosophers’ appeal to the ideal in political reasoning. These occupations reveal Machiavelli’s preference for particulars over generalities as a considered judgment about the suitability of philosophy for popular readers. (...) Machiavelli’s covert reading of Aristotle is, I submit, a signal episode in the history of humanism. (shrink)