This essay offers an interpretation of Descartes’ treatment of the concepts of place and space in the Principles of Philosophy. On the basis of that interpretation, I argue that his understanding and application of the concept of space supports a pluralist interpretation of Descartes on extended substance. I survey the Scholastic evolution of issues in the Aristotelian theory of place and clarify elements of Descartes’ appropriation and transformation thereof: the relationship between internal and external place, the precise content of the (...) claim that space and body are really identical, and the way we conceptually distinguish space from body. Descartes applies his concept of space in ways that illuminate the metaphysical structure of extension. In particular, he uses the concept to specify the degree to which finite parts of matter are independent of each other. I argue that for Descartes, conceiving extension as indivisible is an artifact of conceiving it as a space. That is, pace the monistic reading of Cartesian extended substance, regarding extension as indivisible is an artifact of conceiving it in a way more removed from its real nature. (shrink)

This paper argues that, for Bernard Nieuwentijt, mathematical reasoning on the basis of ideas is not the same as logical reasoning on the basis of propositions. Noting that the two types of reasoning differ helps make sense of a peculiar-sounding claim Nieuwentijt makes, namely that it is possible to mathematically deduce false propositions from true abstracted ideas. I propose to interpret Nieuwentijt’s abstracted ideas as incomplete mental copies of existing objects. I argue that, according to Nieuwentijt, a proposition is mathematically (...) deducible from an abstracted idea if it can be demonstrated that that proposition makes a true claim about the object that idea forms. This allows me to explain why Nieuwentijt deems it possible to deduce false propositions from true ideas. It also implies that logic and mathematics are not as closely related for Nieuwentijt as has been suggested in the existing secondary literature. (shrink)

At the crux of Descartes's general metaphysics and epistemology are his accounts of substances, attributes and ideas of substances and attributes. In spite of the centrality of these theories, there is wide disagreement among scholars about how to interpret them. I approach these debates by focusing on Descartes's theory of the infinite substance ? God. I argue that God's attributes are neither individual, inseparable properties that inhere in God (contra Kenny, Wilson, Curley, Hoffman) nor deductions from God (contra Lennon), but (...) attributions that can consistently be made to God. On this account, the diversity of God's attributes is due to how meditators refer to the various cognitive routes they take to clear and distinct perceptions of God; what makes a meditator's clear and distinct perception of God more distinct is that it becomes more stable ? the meditator can more easily retain and regain the perception. Other virtues of this interpretation include accounts of the following: the puzzling remarks about essences that Descartes makes to Gassendi; what founds conceptual distinctions in reality; and why the Cartesian meditator ?proves? the existence of God several times in the Meditations. (shrink)