Descartes seems to hold two inconsistent accounts of the ontological status of mathematical essences. Meditation Five apparently develops a platonist view about such essences, while the Principles seems to advocate some form of “conceptualism”. We argue that Descartes was neither a platonist nor a conceptualist. Crucial to our interpretation is Descartes’ dispositional nativism. We contend that his doctrine of innate ideas allows him to endorse a hybrid view which avoids the drawbacks of Gassendi’s conceptualism without facing the difficulties of platonism. (...) We call this hybrid view “quasi-platonism.” Our interpretation explains Descartes’ account of the nature of mathematical essences, dissolves the tension between the two texts, and highlights the benefits of Descartes’ view. (shrink)

Introduction -- The first meditation -- The second meditation -- The third meditation : the truth rule and the "chief and most common mistake" -- The third meditation : two demonstrations of God's existence -- The fourth meditation -- The fifth meditation -- The sixth meditation.

Between Two Worlds is an authoritative commentary on--and powerful reinterpretation of--the founding work of modern philosophy, Descartes's Meditations. Philosophers have tended to read Descartes's seminal work in an occasional way, examining its treatment of individual topics while ignoring other parts of the text. In contrast, John Carriero provides a sustained, systematic reading of the whole text, giving a detailed account of the positions against which Descartes was reacting, and revealing anew the unity, meaning, and originality of the Meditations. Carriero finds (...) in the Meditations a nearly continuous argument against Thomistic Aristotelian ways of thinking about cognition, and shows more clearly than ever before how Descartes bridged the old world of scholasticism and the new one of mechanistic naturalism. Rather than casting Descartes's project primarily in terms of skepticism, knowledge, and certainty, Carriero focuses on fundamental disagreements between Descartes and the scholastics over the nature of understanding, the relation between the senses and the intellect, the nature of the human being, and how and to what extent God is cognized by human beings. Against this background, Carriero shows, Descartes developed his own conceptions of mind, body, and the relation between them, creating a coherent, philosophically rich project in the Meditations and setting the agenda for a century of rationalist metaphysics. (shrink)

In the Fifth Meditation, Descartes makes a remarkable claim about the ontological status of geometrical figures. He asserts that an object such as a triangle has a 'true and immutable nature' that does not depend on the mind, yet has being even if there are no triangles existing in the world. This statement has led many commentators to assume that Descartes is a Platonist regarding essences and in the philosophy of mathematics. One problem with this seemingly natural reading is that (...) it contradicts the conceptualist account of universals that one finds in the Principles of Philosophy and elsewhere. In this paper, I offer a novel interpretation of the notion of a true and immutable nature which reconciles the Fifth Meditation with the conceptualism of Descartes' other work. Specifically, I argue that Descartes takes natures to be innate ideas considered in terms of their so-called 'objective being'. (shrink)