As Roger Ariew shows, one of the most fascinating challenges for the authors trying to create a Cartesian complete course on philosophy was coming up with a Cartesian Logic based on the existing texts of the master. Were the few simple rules from the Discourse on Method the "logic" of Descartes? Were the Rules for the Direction of the Mind "logic"? How can we even have a logic without syllogism? When looking at the authors studied by Ariew one finds that (...) the best that they could come up was adding some Cartesian elements on what remains basically a traditional Aristotelian Logic. It seems that there was no Cartesian Logic after all.I want to show here that Cartesian Logic is something else, not exactly... (shrink)

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)