The aim of this paper is twofold: (1) to show the principal aspects of the way in which Newton conceived his mathematical concepts and methods and applied them to rational mechanics in his Principia; (2) to explain how the editors of the Geneva Edition interpreted, clarified, and made accessible to a broader public Newton’s perfect but often elliptic proofs. Following this line of inquiry, we will explain the successes of Newton’s mechanics, but also the problematic aspects of his perfect geometrical (...) methods, more elegant, but less malleable than analytical procedures, of which Newton himself was one of the inventors. Furthermore, we will also consider the way in which Newtonianism was spread before in England and afterwards on continental Europe. In this respect the Geneva Edition plays a fundamental role because of its complete apparatus of notes, and because it appeared only thirteen years after the publication of the third edition of the Principia (1726). Finally, we will also confront some problems connected to the metaphysics of calculus. Therefore, the case of Newton is one of those in which, starting from mathematics applied to physics, it is possible to connect an impressive series of fundamental arguments such as the role of mathematics in science; the comparison between Newton’s geometrical methods and analytical methods; the way in which Newtonianism was spread as well as the philosophical implications of Newton’s mathematical concepts. (shrink)

What is the relationship between intellectual and cultural history? An answer to this question may be found in the area between the two poles of inquiry commonly known as internalist and externalist methods. The first of these deals with old-fashioned `ideas' (in Lovejoy's sense) and the second with social and political context and the sociology and anthropology of knowledge. This article reviews this question in the light of the earlier historiography of philosophy, literature and science, and debates over the role (...) of context in determining historical meaning. Within the horizon-structure of experience and interpretation the short answer is that cultural history is the outside of intellectual history and intellectual history the inside of cultural history. Ideally, historians ought to work both sides of the historical street. (shrink)

The ArugmentThis essay answers a single question: what was Robert Hooke, the Royal Society's curator of experiments, doing in his well-known 1665 work,Micrographia?Hooke was articulating a “universal cure of the mind” capable of bringing about a “reformation in Philosophy,” a change in philosophy's interpretive practices and organization. The work explicated the interpretive and political foundations for a community of optical instrument users coextensive with the struggling Royal Society. Standard observational practices would overcome the problem of using nonstandard instruments, while inherent (...) inrepresentation– the interpretive practice championed in the text – were important theological and political meanings. Hooke's kind of experimental philosophy undermined the claims made by “atheists” and “enthusiasts” – the enemies of the restored church and state – while also producing useful knowledge. Equally important, Hooke modeled the community described inMicrographiaupon the classicalres publica, but his community made important concessions to Restoration political realities, especially the growing role of commercial or transactional relationships. (shrink)