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)

This introductory overview comprises a brief account of Leibniz's own monadology; a discussion of the reception of his philosophy up to Kant; and a short overview of the monadologies developed after Kant's first Critique, made via a summary of key points raised in this guest issue, highlighting recurrent themes, which include questions of historiography.

ArgumentThe history of ballooning has received considerable attention from historians examining the technological innovations behind it as well as from scholars interested in aeronautical anecdotes concerning launches and disasters. The cultural importance of this new machine, however, remains less fully analyzed. This essay explores one facet of that history through a discussion of the commodification of launches in France and Great Britain. These two countries, which have larger middling classes as well as a higher degree of commercialization in general, provided (...) a fertile environment for aeronauts seeking to instruct and entertain an audience willing to fund ballooning. Balloonists had to invent ways to market this scientific discovery and determine how best to attract paying customers. The audience was entertained while simultaneously empowered to act as witnesses to what balloonists presented as a scientific experiment. (shrink)

ArgumentBy the mid-eighteenth century, governors of the major European states promoted the study of nature as part of natural-resource based schemes for improvement and economic self-sufficiency. Procuring beneficial knowledge about nature, however, required observers, collectors, and compilers who could produce usable and useful descriptions of nature. The ways governments promoted scientific explorations varied according to the form of government, the makeup of the civil society, the state's economic ideologies and practices, and the geographical situation. This article argues that the roots (...) of a major natural history initiative in Denmark-Norway were firmly planted in the state-church organization. Through the clergymen and their activities, a bishop, supported by the government in Copenhagen, could gather an impressive collection of natural objects, receive observations and descriptions of natural phenomena, and produce natural historical publications that described for the first time many of the species of the north. Devout naturalists were a common species in the eighteenth century, when clergymen and missionaries involved themselves in the investigation of nature in Europe and far beyond. The specific interest here is in how natural history was supported and enforced as part of clerical practice, how specimen exchange was grafted on to pre-existing institutions of gift exchange, and how this influenced the character of the knowledge produced. (shrink)