Steffen Ducheyne

n this paper I deal with a neglected topic with respect to unification in Newton’s Principia. I will clarify Newton’s notion and practice of unification . In order to do so, I will use the recent theories on unification as tools of analysis . I will argue, after showing that neither Kitcher’s nor Schurz’s account aptly capture Newton’s notion and practice of unification, that Salmon’s later work is a good starting point for analysing this notion and its practice in the Principia. Finally, I will supplement Salmon’s account in order to answer the question at stake.Keywords: Explanation; Isaac Newton; Principia; Unification

For Thomas Reid, Isaac Newton's scientific methodology in natural philosophy was a source of inspiration for philosophical methodology in general. I shall look at how Reid adapted Newton's views on methodology in natural philosophy. We shall see that Reid radicalized Newton's methodology and, thereby, begins to pave the way for the positivist movement, of which the origin is traditionally associated with the Frenchman Auguste Comte. In the Reidian adaptation of Newtonianism, we can already notice the beginnings of the anti-causal trend that would become so popular in the age of positivism

The immense oeuvre of William Whewell (1794-1886), a Victorian monument by itself, has to some extent been treated in a stepmotherly fashion by philosophers and historiansof philosophy. This paper attempts to conceptually clarify Whewell's notion of necessity, which was a core notion in his philosophical project. The author also sketches in broad lines the historical development of this notion in Whewell's thinking and points tothe intertwinement between Whewell's philosophy and theology. Whewell's philosophical work was deeply based on the history of science and his doctrine of Fundamental Ideas can be interpreted as an attempt to historicize Kant's transcendental categories

This chapter examines the series of drastic epistemological and methodological transformations in the status of hypotheses in British natural philosophy during the seventeenth century. It explains that hypotheses played a rather marginal role in Francis Bacon's methodological thought because he believed they lacked any physical content, although they occupied a centre stage in the Bacon-inspired natural philosophy program of Robert Boyle and Robert Hooke. The chapter mentions that Boyle and Hooke provided a new definition of hypothesis, which is that of something conceived of as causally sufficient and probable explications of natural phenomena that stand in an evidential relation to the natural phenomena they serve to elucidate.

Who’s the greatest of them all? A non-technical explication of Newton’s method in the Principia accompanied by some philosophical reflections In this essay, I seek to explicate the methodology which Newton used in the Principia in a non-technical way. Close attention will be paid to some important results in Books I and III of the Principia and to Newton’s argument for universal gravitation. Based on their discussion, Newton’s key inferential strategies will be brought to the fore. In addition, it will be explained how Newton’s methodology differed from a standard hypothetico-deductive method.

In this essay I reassess Willem Jacob ‘s Gravesande's Newtonianism. I draw attention to ‘s Gravesande's a-causal rendering of physics which went against Newton's causal understanding of natural philosophy and to his attempt to establish a solid foundation for the certainty of Newton's natural philosophy, which he considered as a powerful antidote against the theological aberrations of Descartes and especially Spinoza. I argue that, although ‘s Gravesande clearly took inspiration from Newton's natural philosophy, he was running his own scientific and intellectual agenda and that he was combining Newtonian and non-Newtonian elements.

Baruch Spinoza’s (1632–77)Tractatus theologico-politicus (1669 or 1670) caused outrage across the Dutch Republic, for it obliterated the carefully installed separation between philosophy and theology. The posthumous publication of Spinoza’s Ethica, which is contained in his Opera posthuma (1677), caused similar consternation. It was especially the mathematical order in which the Ethica was composed that caused fierce opposition, for its mathematical appearance gave the impression that Spinoza’s heretical teachings were established demonstratively. In this essay, I document how the Dutch physician, local politician, and amateur mathematician and experimenter Bernard Nieuwentijt (1654–1718) attempted to physico-mathematically and methodologically counter the threats posed by Spinoza’s program. Nieuwentijt tried to defend the authority of the scriptures in times at which they came under attack by the new philosophy and by the emerging sciences that were gradually winning terrain. The crux of his defense consisted in delineating a modest epistemology, a “learned ignorance,” that would cure Spinoza’s followers of their pansophical aspirations, on the one hand, and remove the conflict between the Bible and reason, on the other. The specific way in which he sought to accomplish this distinguished him from Dutch Reformed thought, or so I will argue.

In this article, we document how, in the public arena, British readers of the first edition of Isaac Newton's Philosophiae naturalis principia mathematica (1687) tried to make sense of the relation between gravity, matter, and divine and natural causation—an issue on which Newton had remained entirely silent in the first edition of the Principia. We show that readers attached new meanings to the Principia so that parts of it migrated to a different intellectual debate. It will be shown that one particular result Newton obtained in the Principia, namely the rejection of a vacuum in Corollary 3 to Proposition 6 in Book 3, was the most important locus in debates on the relation between gravity, matter, and causation.

The Radical Enlightenment refers to a fascinating movement within the Enlightenment that challenged traditional forms of religious, philosophical, and political authority and promoted social reform, freedom, democratic values, social equality, and libertas philosophandi. The study of the Radical Enlightenment focuses on the thought of freethinkers, atheists, pantheists, Spinozists, political reformers, and other kindred spirits. Over the last thirty years scholarly writing on, and about the very notion of, a Radical Enlightenment has proliferated and research on the matter has moved in different directions. This research companion provides a timely and comprehensive overview of current research on this matter, gathering together leading experts who cross the boundaries of geographical terrain, of discipline, of intellectual position and of methodology. In addition to dealing with canonical authors and celebrated texts, such as Spinoza and his Tractatus Theologico-Politicus, authors discuss many less well-known figures and debates from the period whose importance is only now being appreciated.