Anyone reading the literature on the history of graphs will soon realize that the use of graphie displays of any type was really quite unusual until the mid-ninetenth century and that those scientists who did make use of them are often familiar to us as creative thinkers in their own fields of endeavour. Aternary diagram(also known as atriangular diagram) is a particular type of graph which consists of an equilateral triangle in which a given plotted point represents the relative proportions (...) (a, b, c) of three end-members (A, B and C), generally expressed as percentages and constrained bya + b + c= 100%. It has long been used to portray sample composition in terms of three constituents, or an observed colour in terms of three primary colours, because it is a convenient means of representing a three-component System in a planar projection, rather than as an isometric, or similar, view of a three-dimensional space. Recent papers suggest that its use is not as familiar to some statisticians as are other commonly used forms of graph. For example, although it was cited by Peddle in 1910 and more recently by Dickinson, it is not discussed in modern texts on statistical graphies nor in the key papers on the history of graphs. However, beginning with studies of colour-mixing in the eighteenth century, it has subsequently become widely used, particularly in geology, physical chemistry and metallurgy. In this paper, I attempt to document its gradual uptake as a standard method of data display and some of the scientific advances which its use has facilitated. (shrink)

A permissivist framework is developed to include images in the reconstruction of the evidential base and of the theoretical content. The paper uses Newton’s optical theory as a case study to discuss mathematical idealizations and depictions of experiments, together with textual correlates of diagrams. Instead of assuming some specific type of theoretical content, focus is on novel traits that are delineable when studying the carriers of a theory. The framework is developed to trace elliptic and ambiguous message design, and utilizes (...) variegated acceptance as an asset. Newton’s resources allowed for various framing modes and reconstructions, entailing various judgements concerning the theoretical content, the evidence base, and Newton’s use of mathematics. Elliptic presentation of the theory’s proof-structure and ambiguities influenced uptake, contributed to the process of opinion-polarization, and the acceptance/rejection of the theory. The study suggests that the analysed carriers of theoretical content have an argumentative function, and one of their uses is to adjust the burden of proof. (shrink)

Simon Schaffer has published a constructivist analysis of the acceptance of Newton’s theory of color that focuses on Newton’s experiments, the continual controversies over them, and his power and authority. In this article, I show that Schaffer’s account does not agree with the historical evidence. Newton’s theory was accepted much sooner than Schaffer holds, when and in places where Newton had little power; many successfully repeated the experiments and few contested them; and theory mattered more than experiment in acceptance. I (...) also present an alternative account of the acceptance of Newton’s theory that shows that, despite criticism when it was first published in 1672, the theory, or parts of it, gradually came to be accepted by mathematical scientists—including Huygens and Leibniz—and Scottish natural philosophers by the time of the publication of the Opticks in 1704. On the Continent, it was coming to be accepted within a decade or so after its publication, that is, before 1716, when Newton replied to a challenge, purportedly by Leibniz, that Schaffer sees as the crucial conflict that at last gave Newton’s experiments their authority. (shrink)

Martin Folkes (1690–1754) was Newton's protégé, an English antiquary, mathematician, numismatist and astronomer who would in the latter part of his career become simultaneously president of the Royal Society and of the Society of Antiquaries. Folkes took a Grand Tour from March 1733 to September 1735, recording the Italian leg of his journey from Padua to Rome in his journal. This paper examines Folkes's travel diary to analyse his Freemasonry, his intellectual development as a Newtonian and his scientific peregrination. It (...) shows how, in this latter area, how he used metrology to understand not only the aesthetics but also the engineering principles of antique buildings and artefacts, as well as their context and place in the Italian landscape. Using Folkes's diary, his account book of his journey in the Norwich archives, and his correspondence with other natural philosophers such as Francesco Algarotti (1712–1764), Anders Celsius (1701–1744) and Abbé Antonio Schinella Conti (1667–1749), this paper will also demonstrate to what extent Folkes's journey established his reputation as an international broker of Newtonianism, as well as the overall primacy of English scientific instrumentation to Italian virtuosi. (shrink)

In this paper I discuss Newton's first optical paper. My aim is to examine the type of argument which Newton uses in order to convince his readers of the truth of his theory of colors. My claim is that this argument is an induction by elimination, and that the Newtonian method of justification is a kind of “generative justification”, a term due to T. Nickles. To achieve my aim I analyze in some detail the arguments in Newton's first optical paper, (...) relating the paper with Newton's other writings in optics, and especially his early correspondence in defence of his theory of colors. (shrink)

ResumoNo início do século xviii, Isaac Newton publicou seu principal trabalho sobre óptica, o Opticks. Impregnado por uma perspectiva indutiva, o livro logo se tornou a principal referência para os estudos sobre a luz e as cores, sendo amplamente popularizado pelos seguidores de Newton. Neste artigo, analisamos como dois importantes livros contribuíram para essa popularização e também qual era a imagem de ciência que tencionavam propagar, o Élements de la philosophie de Newton de Voltaire e o Newtonianismo per le dame (...) de Algarotti. Será possível perceber que ambos os autores distorceram o conteúdo do livro de Newton, no intuito de propagar uma imagem idealizada das ideias newtonianas e da própria filosofia natural.In the beginning of 18th century, Newton published his main work about light and colors, the Opticks. Impregnated by an inductive perspective, the book became the major reference for the studies about light and colors, being widely popularized by Newton's followers. In this article, we analyze how two important works contributed to this process of popularization and also what image of science they intended to propagate: Voltaire's Elements of Newton's philosophie and Algarotti's Sir Isaac Newton's philosophy explain'd for the use of the ladies. We will be notice that both authors distorted the content of the Opticks, in order to propagate an idealized image of Newtonian ideas and natural philosophy itself. (shrink)

In the seventeenth century, Newton published his famous experimentum crucis, in which he claimed that light is heterogeneous and is composed of rays with different refrangibilities. Experiments, especially the crucial experiment, were important for justifying Newton’s theory of light, and eventually his theory of color. A century later, Goethe conducted a series of experiments on the nature of color, especially in contradistinction to Newton, and he defended his research with a methodological principle formulated in “Der Versuch als Vermittler.” Goethe’s principle (...) included two elements: a series of experiments and resultant higher empirical evidence, which functioned as mediator between the objective and the subjective . Although the notion of experimentum crucis became popular among scientists for reconstructing experimental research and for justifying theories, especially for rhetorical purposes, Newton’s justification of his theory of light and color is best reconstructed in terms of Goethe’s methodological principle. Finally, Goethe’s principle has important consequences for the contemporary philosophical underdetermination thesis. (shrink)

In a 2004 paper, “Hume’s Missing Shade of Blue Reconsidered from a Newtonian Perspective,” Eric Schliesser argues that Hume’s well-known discussion of the missing shade of blue “reveals considerable ignorance of Newton’s achievement in optics,” and that Hume has failed to assimilate the lessons taught by Newton’s optical experiments. I argue in this paper, contrary to Schliesser, that Hume’s views on color are logically and evidentially independent of Newton’s results. In developing my reading, I will argue that Schliesser accepts an (...) overly broad interpretation of the implications of Newton’s experimental results, and takes inadequate account of Hume’s disciplined methodological restrictions on the kinds of experiential evidence that are to be admitted in building the foundations of his science of human nature. (shrink)

ABSTRACTÉmilie du Châtelet’s recently-discovered Essai sur l’optique offers new insights into her early natural philosophy. Here I analyse the Essai in detail, focusing on Du Châtelet’s use of attr...