Roger Ariew

Descartes’ distinction between infinite and indefinite is important for his philosophy, but poorly understood. Various commentators have offered conflicting interpretations of it; some have even questioned ist importance. In this paper I wish to investigate Descartes’ various discussions of the distinction and to use my investigation to shed light on the related question of the authority of the "Conversation with Burman". I believe that the distinction is treated differently in the "Conversation" than it is in the Cartesian corpus proper and that the difference of treatment is paradigmatic of other differences between that work and the works which come from Descartes’ own hand. I divide my discussion into two parts: first, on the reliability of the "Conversation" and Ferdinand Alquié’s critique of it; and second, on the distinction between the infinite and indefinite.

There is a popular view that Descartes and Pascal were antagonists. I argue instead that Pascal was a Cartesian, in the manner of other Cartesians in the seventeenth century. That does not, of course, mean that Pascal accepted everything Descartes asserted, given that there were Cartesian atomists, for example, when Descartes was a plenist and anti-atomist. Pascal himself was a vacuuist and thus in opposition to Descartes in that respect, but he did accept some of the more distinctive and controversial aspects of Cartesianism, including his mechanistic philosophy and the consequent view that animals are automata.

Descartes and the last Scholastics: objections and replies -- Descartes and the Scotists -- Ideas, before and after Descartes -- The Cartesian destiny of form and matter -- Descartes, Basso, and Toletus: three kinds of Corpuscularians -- Scholastics and the new astronomy on the substance of the heavens -- Descartes and the Jesuits of La Fleche: the Eucharist -- Condemnations of Cartesianism: the extension and unity of the universe -- Cartesians, Gassendists, and censorship -- The cogito in the seventeenth century.

I discuss some of Leibniz's pronouncements about fringe phenomena__various monsters; talking dogs; genies and prophets; unicorns, glossopetrae, and other games of nature__in order to understand better Leibniz's views on science and the role these curiosities play in his plans for scientific academies and societies. However, given that Leibniz's sincerity has been called into question in twentieth-century secondary literature, I begin with a few historiographical remarks so as to situate these pronouncements within the Leibnizian corpus. What emerges is an image of Leibniz as a sober, cautious interpreter, a skeptic one might say, but one who is prepared to concede the possibility of many strange phenomena. Leibniz expects these fringe phenomena to take their place among the natural curiosities catalogued as part of a hoped for empirical database intended as means toward the perfection of the sciences.

Some philosophers of science suggest that philosophical assumptions must influence historical scholarship, because history (like science) has no neutral data and because the treatment of any particular historical episode is going to be influenced to some degree by one's prior philosophical conceptions of what is important in science. However, if the history of science must be laden with philosophical assumptions, then how can the history of science be evidence for the philosophy of science? Would not an inductivist history of science confirm an inductivist philosophy of science and a conventionalist history of science confirm a conventionalist philosophy of science? I attempt to resolve this problem; essentially, I deny the claim that the history of science must be influenced by one's conception of what is important in science — one's general philosophy of science. To accomplish the task I look at a specific historical episode, together with its history, and draw some metamethodological conclusions from it. The specific historical episode I examine is Descartes' critique of Galileo's scientific methodology.