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)

Unlike similar works, Xingxue Cushu 性學觕述 by the Italian Jesuit missionary Giulio Aleni sought to deliver the Christian doctrine into China by introducing Western medicine. The conflict between the Christian concept of the soul and the traditional psychic concept in China made the task difficult. Scholasticism rejects the idea that an individual’s soul may be physically divided or localized, whereas the Chinese tradition largely assumes the contrary and regards the heart as the center of one’s psychic powers or vitality. Aleni (...) addressed this conflict by reducing the mind to the function of the brain for sensitive memory. Chinese physicians accepted Aleni’s concept of brain-related memory. However, his claim of an immaterial soul was ignored, and the Western connection between brain and memory was misinterpreted and subjected to Chinese cardiocentrism; thus, the physically centered psychic concept that underlies Chinese philosophy persisted. (shrink)