Steffen Ducheyne

In this essay, my aim is twofold: to clarify how the late Mill conceived of the certainty of inductive generalizations and to offer a systematic clarification of the limited domain of application of the Mill’s Canons of Induction. I shall argue that Mill’s views on the certainty of knowledge changed overtime and that this change was accompanied by a new view on the certainty of the inductive results yielded by the Canons of Induction. The key message of the later editions of The System of Logic as conceived by the late Mill was no longer that by the Canons of Induction we can establish scientific certainty and true causes, but rather that the Canons are useful in establishing causal laws in a provisional way.

Reasoning without experience is very slippery. A man may puzzle me by arguents [sic] … but I’le beleive my ey experience ↓my eyes.↓ernan mcmullin once remarked that, although the “avowedly tentative form” of the Queries “marks them off from the rest of Newton’s published work,” they are “the most significant source, perhaps, for the most general categories of matter and action that informed his research.”2 The Queries (or Quaestiones), which Newton inserted at the very end of the third book of the Opticks3 or its Latin rendition, Optice,4 constitute that part of his optical magnum opus which he reworked and augmented the most—especially between 1704 and 1717. While the main text of the Opticks itself underwent..

Zusammenfassung: Petrus van Musschenbroek und Newtons ‚vera stabilisque Philosophandi methodus‘.In der Forschungsliteratur dominiert die Auffassung, Petrus van Musschenbroek sei Anhänger der Newton’schen Methodologie gewesen, d.h. ein Naturphilosoph, der sich trotz gelegentlicher Abweichung von Newtons Doktrinen an Newtons methodologischen Grundsätzen orientiert habe. Nur wenige Gelehrte haben bis heute im Detail untersucht, was der Satz, Musschenbroek sei Newtons Methode gefolgt, bedeutet. Der vorliegende Aufsatz versucht diese Lücke zu schließen.Summary: Petrus van Musschenbroek and Newton’s ‘vera stabilisque Philosophandi methodus’.According to a dominant view in the scholarly literature, Musschenbroek is to be considered a follower of Newton’s methodology, i.e. as a natural philosopher who, although he occasionally departed from Newton’s doctrines, aligned himself to Newton’s methodological views. Few scholars have, however, explained in full detail what it means to claim that Musschenbroek followed Newton’s method. The purpose of this essay is to get more grip on this matter.

Primarily between 1833 and 1840, William Whewell attempted to accomplish what natural philosophers and scientists since at least Galileo had failed to do: to provide a systematic and broad-ranged study of the tides and to attempt to establish a general scientific theory of tidal phenomena. I document the close interaction between Whewell’s philosophy of science and his scientific practice as a tidologist. I claim that the intertwinement between Whewell’s methodology and his tidology is more fundamental than has hitherto been documented.Keywords: William Whewell; Tidology; History of HPS; Scientific methodology; Whewell papers.

In this essay, I call attention to Kant’s and Whewell’s attempt to provide bridging principles between a priori principles and scientific laws. Part of Kant’s aim in the Opus postumum (ca. 1796-1803) was precisely to bridge the gap between the metaphysical foundations of natural science (on the Metaphysical Foundations of Natural Science (1786) see section 1) and physics by establishing intermediary concepts or ‘Mittelbegriffe’ (henceforth this problem is referred to as ‘the bridging-problem’). I argue that the late-Kant attempted to show that the concept of ‘moving force’, an intermediary concept derived from a priori principles, could be given empirical content so that concrete scientific knowledge is arrived at. Thus, the late-Kant wished not only to show that proper scientific laws are necessary a priori (as he had shown in the Metaphysical Foundations of Natural Science) but also that intermediary concepts could be derived from a priori principles which, when interpreted empirically, resulted in the specific forces as established by physics (see section 2). Of course, William Whewell never knew about Kant’s Opus postumum and his attempt to bridge the gap between the metaphysical foundations of science and physics. However, it is striking that Whewell had similar concerns about the Critique of Pure Reason and the Metaphysical Foundations of Natural Science as Kant himself. According to Whewell, the Kantian project was incomplete because it did not show how ‘modifications’ (in the sense of concretizations) of a priori principles could result in empirical laws (section 3). Next, it will be argued, by taking into account several of Whewell’s philosophical notebooks which have scarcely been studied systematically, that Whewell’s doctrine of Fundamental Ideas grew out of his dissatisfaction with the Kantian project with respect to the bridging problem and that his own philosophical position should be seen as an attempt to bypass the bridging-problem.

Nowadays, it is a truism that hypotheses and theories play an essential role in scientific practice. This, however, was far from an obvious given in seventeenth-century British natural philosophy. Different natural philosophers had different views on the role and status of hypotheses and theories, ranging from fierce promotion to bold rejection, and to both they ascribed varying meanings and connotations. The guiding idea of this chapter is that, in seventeenth-century British natural philosophy, the terms ‘hypothesis’/‘hypothetical’ and ‘theory’/‘theoretical’ were imbedded in a semantic network of interconnected epistemological and methodological notions – such as ‘knowledge’, ‘method’, ‘probability’, ‘certainty’, ‘induction’, ‘deduction’, ‘experimental philosophy’, ‘speculative philosophy’, and the like). As these semantic networks changed overtime, the meaning and significance of ‘hypothesis’ and ‘theory’ likewise shifted. Without pretence of completeness, this chapter highlights chronologically some of the defining moments in the semantic transformation of these two terms within the context of seventeenth-century natural philosophy.

In this essay I argue against I. Bernard Cohen's influential account of Newton's methodology in the Principia: the 'Newtonian Style'. The crux of Cohen's account is the successive adaptation of 'mental constructs' through comparisons with nature. In Cohen's view there is a direct dynamic between the mental constructs and physical systems. I argue that his account is essentially hypothetical-deductive, which is at odds with Newton's rejection of the hypothetical-deductive method. An adequate account of Newton's methodology needs to show how Newton's method proceeds differently from the hypothetical-deductive method. In the constructive part I argue for my own account, which is model based: it focuses on how Newton constructed his models in Book I of the Principia. I will show that Newton understood Book I as an exercise in determining the mathematical consequences of certain force functions. The growing complexity of Newton's models is a result of exploring increasingly complex force functions (intra-theoretical dynamics) rather than a successive comparison with nature (extra-theoretical dynamics). Nature did not enter the scene here. This intra-theoretical dynamics is related to the 'autonomy of the models'.