Heaviside's operational calculus and the attempts to rigorise it

At the end of the 19^th century Oliver Heaviside developed a formal calculus of differential operators in order to solve various physical problems. The pure mathematicians of his time would not deal with this unrigorous theory, but in the 20^th century several attempts were made to rigorise Heaviside's operational calculus. These attempts can be grouped in two classes. The one leading to an explanation of the operational calculus in terms of integral transformations (Bromwich, Carson, Vander Pol, Doetsch) and the other leading to an abstract algebraic formulation (Lévy, Mikusiski). Also Schwartz's creation of the theory of distributions was very much inspired by problems in the operational calculus.     

Abduction, tomography, and other inverse problems

Charles S. Peirce introduced in the late 19^th century the notion of abduction as inference from effects to causes, or from observational data to explanatory theories. Abductive reasoning has become a major theme in contemporary logic, philosophy of science, and artificial intelligence. This paper argues that the new growing branch of applied mathematics called inverse problems deals successfully with various kinds of abductive inference within a variety of scientific disciplines. The fundamental theorem about the inverse reconstruction of plane functions from their line integrals was proved by Johann Radon already in 1917. The practical applications of Radon’s theorem and its generalizations include computerized tomography which became a routine imaging technique of diagnostic medicine in the 1970s.     

Interactions between mechanics and differential geometry in the 19th century

Conclusion 79. This study of the interaction between mechanics and differential geometry does not pretend to be exhaustive. In particular, there is probably more to be said about the mathematical side of the history from Darboux to Ricci and Levi Civita and beyond. Statistical mechanics may also be of interest and there is definitely more to be said about Hertz (I plan to continue in this direction) and about Poincaré's geometric and topological reasonings for example about the three body problem [Poincaré 1890] (cf. also [Poincaré 1993], [Andersson 1994] and [Barrow-Green 1994]). Moreover, it would be interesting to find out how the 19^th century ideas discussed here influenced the developments in the 20^th century. Einstein himself is a hotly debated case.Yet, despite these shortcommings, I hope that this paper has shown that the interactions between mechanics and differential geometry is not a 20^th century invention. Klein's view (see my Introduction) that Riemannian geometry grew out of mechanics, more specifically the principle of least action, cannot be maintained. On the other hand, when Riemannian geometry became known around 1870 it was immediately used in mechanics by Lipschitz. He began a continued tradition in this field, which had several elements in common with the new view of mechanics conceived by the physicists and explicitly carried out by Hertz.Before 1870 we found only scattered interactions between differential geometry and mechanics and only direct ones for systems of two or three degrees of freedom. For more degrees of freedom the geometrical ideas were in some interesting cases taken over by analogy, but these analogies did not lead to formal introduction of geometries of more than three dimensions.     

The Hybrid Expert in the ‘Bergstaat’: Anton von Ruprecht as a Professor of Chemistry and Mining and as a Mining Official, 1779–1814

Summary

In the course of the 18th century a new type of scientifically educated functional elites developed, who were trained to administer mines. The educational project that led to the formation of a corps of mining engineers was part of a programme of administrative and economic reforms that led to a new configuration of bonds between state, economy and science. At the same time the status of this new group of experts was predicated substantially by the new emerging corpora of the scientific, technological and cameralist knowledge of the period between 1760 and 1800. The aim of this paper is to discuss this group using the example of a leading expert in the context of the mining and metallurgy of this period. Anton von Ruprecht (1748–1814) was strongly grounded in the social and epistemic context of the Habsburg mining bureaucracy, which employed his scientific and technical savoir faire to serve their mercantile goals in several areas of mining expertise.     

The unfolding of the historical style in modern cosmology: Emergence,evolution, entrenchment

This paper traces the emergence, evolution and subsequent entrenchment of the historical style in the shifting scene of modern cosmological inquiry. It argues that the historical style in cosmology was forged in the early decades of the 20^th century and continued to evolve in the century that followed. Over time, the scene of cosmological inquiry has gradually become dominated and entirely constituted by historicist explanations. Practices such as forwards and backwards temporal extrapolation (thinking about the past evolutionary history of the universe with different initial conditions and other parameters) are now commonplace. The non-static geometrization of the cosmos in the early 20th century led to inquires thinking about the cosmos in evolutionary terms. Drawing on the historical approach of Gamow (and contrasting this with the ahistorical approach of Bondi), the paper then argues that the historical style became a major force as inquirers began scouring the universe for fossils and other relics as a new form of scientific practice—cosmic palaeontology. By the 1970s the historical style became the bedrock of the discipline and the presupposition of new lines of inquiry. By the end of the 20th century, the historical style was pushed to its very limits as temporal reasoning began to occur beyond a linear historical narrative. With the atemporal ‘ensemble’ type multiverse proposals, a certain type of ahistorical reasoning has been reintroduced to cosmological discourse, which, in a sense, represents a radical de-historicization of the historical style in cosmology. Some are now even attempting to explain the laws of physics in terms of their historicity.     

Savant Officials in the Prussian Mining Administration

Summary

In the second half of the eighteenth century, the Prussian State supported savants who combined learned inquiry into nature with technical work. Members of the physical and mathematical classes of the Royal Prussian Academy of Sciences were involved in State projects such as surveying for the construction of canals, chemical analysis of Silesian iron, production of porcelain and of beet sugar. Some of these men were truly ‘hybrid’ experts living both in the worlds of State-directed manufacture and academic natural inquiry. Among these savant experts there was a particular sub-group that is at the centre of this paper: mining officials who were also recognized as mineralogists, geologists and chemists. The paper describes and analyses the training and the varied technical and scientific activities of these ‘savant officials’. At the centre of attention are the travels of inspection of the mineralogist and mining official Carl Abraham Gerhard (1738–1821) in the late 1760s. I argue that Gerhard's travels of inspection were at the same time geological travels and that savant officials like Gerhard made a significant contribution to the fledgling science of geology.     

The Rise and Fall of the Glassmaker Paul Bosc d'Antic (1753–1784)

Abstract

Thanks to the efforts made in the first decade of the 18th century by Réaumur and, to a lesser extent, by Buffon, glassmaking attracted the attention of Academic French scientists. In the early 1750s, in order to bridge the gap between the protected system of French glass manufactories and the academic thirst for innovation and technological improvement, technical experts with solid scientific backgrounds were charged by the Académie des sciences to supervise the organisation of several royal manufactories. Paul Bosc d'Antic was chosen in 1755 to solve the problems at the mirror manufactory in Saint-Gobain. Bosc d'Antic's career, in its tension between his ambition as an academic author and drive as a technical inventor, and the economic interest of a free entrepreneur, provides an interesting example of the complex and contradictory evolution of the French chemical arts and manufactories during the second half of the 18th century.

“Les arts ont entr'eux des rapports plus ou

moins marqués, […] mais celui de la verrerie

est le fondement de presque tous les autres”.

Bosc d'Antic     

Poinsinet's Edition of the Naturalis historia (1771–1782) and the Revival of Pliny in the Sciences of the Enlightenment

This paper analyses the revival of Pliny's Naturalis historia within the scientific culture of the late eighteenth and early nineteenth centuries, focusing on a French effort to produce an edition with annotations by scientists and scholars. Between the Renaissance and the early eighteenth century, the Naturalis historia had declined in scientific importance. Increasingly, it was relegated to the humanities, as we demonstrate with a review of editions. For a variety of reasons, however, scientific interest in the Naturalis historia grew in the second half of the eighteenth century. Epitomizing this interest was a plan for a scientifically annotated, Latin-French edition of the Naturalis historia. Initially coordinated by the French governmental minister Malesherbes in the 1750s, the edition was imperfectly realized by Poinsinet a few decades later. It was intended to rival two of the period's other distinguished multi-volume books of knowledge, Diderot and D'Alembert's Encyclopédie and Buffon's Histoire naturelle, to which we compare it. Besides narrating the scientific revival of the Historia naturalis during this period, we examine its causes and the factors contributing to its end in the first half of the nineteenth century.     

The ocean as a supplier of food and energy

Summary This paper presents the concept of raising seaweeds and other valuable organisms with the aid of huge structures (ocean farms) emplaced in the surface waters of the open oceans. Potential advantages from and difficulties to be expected in realizing the associated technologies are briefly set forth. Much of the published literature pertaining to the concept is referenced and summarized. Wave-powered upwelling of cool, nutrient-rich waters through vertical pipes extending to depths of 100–300 m is indicated as desirable. Technologies are outlined for using the harvested seaweeds to create foods and other valuable products such as animal feeds, fertilizers, fibers, plastics, synthetic natural gas (methane), and alcohol and gasoline fuels. Results from site selection studies and economic analyses are given. It appears that dynamically positioned farms orbiting with the surface current patterns typically found on the ocean will be most cost-effective. The general conclusion is stated that open ocean farming will become economically more feasible as the cheaper fossil fuels and food producing lands of the earth become increasingly consumed in the course of the next century.     

From natural history to political economy: the enlightened mission of Domenico Vandelli in late eighteenth-century Portugal

This article presents the main features of the work of Domenico Vandelli (1735–1816), an Italian-born man of science who lived a large part of his life in Portugal. Vandelli’s scientific interests as a naturalist paved the way to his activities as a reformer and adviser on economic and financial issues. The topics covered in his writings are similar to those discussed by Linnaeus, with whom Vandelli corresponded. They clearly reveal that the scientific preparation indispensable for a better knowledge of natural resources was also a fundamental condition for correctly addressing problems of efficiency in their economic allocation. The key argument put forward in this article is that the relationship between natural history and the agenda for economic reform and development deserves to be further analysed. It is indeed a central element in the emergence of political economy as an autonomous scientific discourse during the last decades of the eighteenth century.     

Attività enolasica del plasma e del fegato nell'epatite sperimentale de virus MHV-3 Craig

Summary In experimental hepatitis from MHV-3 Craig strain, the enolase activity of plasma increases significatively from 48^th h of the infection, reaching the highest values at 72–96^th h.The same activity in the liver decreases only after 72^th h, while in the precocious stages of the infection it is unmodified.The physiopathological significance of the enzymatic modification in the plasma is related to the liver necrosis (enzymo-plasmatic syndrome of virus hepatitis).     

Metabolism of pyridine and 3-hydroxypyridine under aerobic,denitrifying and sulfate-reducing conditions

Summary The transformation of pyridine and several hydroxypyridines was investigated under different physiological conditions. Pyridine and 2-, 3- and 4-hydroxypyridine were metabolized aerobically within 9 days in a mineral salt medium inoculated with 10% sewage sludge. Under anaerobic conditions in the presence of nitrate or sulfate, pyridine and 3-hydroxypyridine were metabolized after a lag period of 2 months, while no transformation of 2- or 4-hydroxypyridine was detected. Experiments with¹⁴C-labeled-pyridine showed that under denitrifying as well as under sulfate-reducing conditions pyridine was oxidized to carbon dioxide. Disappearance of nitrate and sulfate under anaerobic conditions was 79% and 85%, respectively, of the amount predicted from the stoichiometric equation for the complete transformation of pyridine.     

(Mis)Understanding scientific disagreement: Success versus pursuit-worthiness in theory choice

Scientists often diverge widely when choosing between research programs. This can seem to be rooted in disagreements about which of several theories, competing to address shared questions or phenomena, is currently the most epistemically or explanatorily valuable—i.e. most successful. But many such cases are actually more directly rooted in differing judgments of pursuit-worthiness, concerning which theory will be best down the line, or which addresses the most significant data or questions. Using case studies from 16^th-century astronomy and 20^th-century geology and biology, I argue that divergent theory choice is thus often driven by considerations of scientific process, even where direct epistemic or explanatory evaluation of its final products appears more relevant. Broadly following Kuhn's analysis of theoretical virtues, I suggest that widely shared criteria for pursuit-worthiness function as imprecise, mutually-conflicting values. However, even Kuhn and others sensitive to pragmatic dimensions of theory ‘acceptance’, including the virtue of fruitfulness, still commonly understate the role of pursuit-worthiness—especially by exaggerating the impact of more present-oriented virtues, or failing to stress how ‘competing’ theories excel at addressing different questions or data. This framework clarifies the nature of the choice and competition involved in theory choice, and the role of alternative theoretical virtues.     

Putting pragmatism to work in the Cold War: Science, technology, and politics in the writings of James B. Conant

This paper examines James Conant’s pragmatic theory of science—a theory that has been neglected by most commentators on the history of 20^th-century philosophy of science—and it argues that this theory occupied an important place in Conant’s strategic thinking about the Cold War. Conant drew upon his wartime science policy work, the history of science, and Quine’s epistemological holism to argue that there is no strict distinction between science and technology, that there is no such thing as “the scientific method,” and that theories are better interpreted as policies rather than creeds. An important consequence that he drew from these arguments is that science is both a thoroughly value-laden, and an intrinsically social, enterprise. These results led him to develop novel proposals for reorganizing scientific and technological research—proposals that he believed could help to win the Cold War. Interestingly, the Cold War had a different impact upon Conant’s thinking than it did upon many other theorists of science in postwar America. Instead of leading him to “the icy slopes of logic,” it led him to develop a socially- and politically-engaged theory that was explicitly in the service of the American Cold War effort.     

Reflecting ‘Popular Culture’: The Introduction,Diffusion, and Construction of the Reflecting Telescope in the Netherlands

The eighteenth century was an era in which science came to play a major role in the cultural ideal of the city elite. The phenomenon of the ‘gentleman-scientist’ arose: a layman without a scientific education who for a variety of often socially desirable reasons devoted himself to scientific endeavours. Scientific instruments were the tools for this interest. This article describes the introduction, diffusion, and construction in the Netherlands of one of the most prominent eighteenth-century instruments: the reflecting telescope. The reception of this instrument casts new light on the usually almost invisible network of gentleman-scientists and instrument-makers in this region. The specific economic and political factors of the Netherlands led to a totally different development of this instrument compared with the ‘motherland’ England. Whereas in Great Britain the reflecting telescope was a great success well into the nineteenth century, in the Netherlands it became a symbol of technical inability and stagnation.     

The Eclipse,the Astronomer and his Audience: Frederico Oom and the Total Solar Eclipse of 28 May 1900 in Portugal

This study offers a detailed analysis of an episode of the popularization of astronomy which took place in Portugal, a peripheral country of Europe, and occurring in the early twentieth century. The episode was driven by the 28 May 1900 total solar eclipse which was seen on the Iberian Peninsula (Portugal and Spain). Instead of focusing on one of the ends of the popularization process, we analyze the circulation of knowledge among scientists and the public, contrast the aims of the various expeditions, professional and amateur, which took place on Portuguese soil, analyze their repercussions in the Portuguese astronomical landscape, and the different ways used by the Portuguese political elite and astronomical community to successfully appropriate this astronomical event to serve their varied agendas, political, social and scientific. In this episode of public enthusiasm for science, a central figure emerged in the network of the official commission, professional and amateur communities and the ‘general public’: Frederico Tomás Oom (1864–1930), an astronomer of the Lisbon Astronomical Observatory. This paper aims to illustrate the different layers of the circulation process, and at proving that the popularization of science was not a unidirectional process from scientists to lay people nor did it serve only a particular agenda, be it political, social or scientific.     

The rise of the tinplate industry.—V. Cockshutt on tinplate manufacture

Two laboratories which offered the new career of scientific work to women at the beginning of the twentieth century were the Biometric Laboratory and the Galton Eugenics Laboratory at University College London. The scientific careers of two women, Dr. Alice Lee (1859–1939) and Dr. Ethel Elderton (1878–1954), are examined. Intellectual and economic factors involved in the choice of a career in eugenics are described, together with some aspects of the relationship between eugenics and feminism.     

Kepler,Tycho, and the ‘Optical Part of Astronomy’: the genesis of Kepler's theory of pinhole images

In the last half of the 16^th century, the method of casting a solar image through an aperture onto a screen for the purposes of observing the sun and its eclipses came into increasing use among professional astronomers. In particular, Tycho Brahe adapted most of his instruments to solar observations, both of positions and of apparent diameters, by fitting the upper pinnule of his diopters with an aperture and allowing the lower pinnule with an engraved centering circle to serve as a screen. In conjunction with these innovations a method of calculating apparent solar diameters on the basis of the measured size of the image was developed, but the method was almost entirely empirically based and developed without the assistance of an adequate theory of the formation of images behind small apertures. Thus resulted the unsuccessful extension of the method by Tycho to the quantitative observation of apparent lunar diameters during solar eclipses. Kepler's attention to the eclipse of July 1600, prompted by Tycho's anomalous results, gave him occasion to consider the relevant theory of measurement. The result was a fully articulated account of pinhole images. Dedicated to the memory of Ronald Cameron Riddell (29.1.1938–11.1.1981)     

Newtonianism and religion in the Netherlands

In the early eighteenth century Newtonianism became popular in the Netherlands both in academic (Boerhaave, ’sGravesande, Van Musschenbroek) and non-academic circles. The ‘Book of Nature’ was interpreted with the help of Newton’s natural philosophy and his ideas about a providential deity, thereby greatly enhancing the attractiveness of physico-theology in the eighteenth-century United Provinces. Like other Europeans the Dutch welcomed physico-theology as a strategic means in their battle against irreligion and atheism. Bernard Nieuwentijt, Johan Lulofs, Petrus Camper, and Johannes Florentius Martinet were prominent experts in the field. Combining Newtonian notions with Leibnizian optimism and romanticist trends, physico-theology remained popular in the Netherlands well into the nineteenth century.     

Science along the Railroad: Expanding Field Work in the US Central West

The building of the transcontinental railroad in the US Central West in the late 1860s greatly improved access to this region and led to the expansion of scientific field work. The relationships between science and the railroad spanned a diverse spectrum, ranging from its practical advantages to more complex interactions such as the transformation of nature along railway corridors and the reciprocal exchange of favours between scientists and railway companies. The dominance of science along the railroad in the second half of the nineteenth century continued into the early twentieth century, with a gradual shift to automobile travel beginning in the 1910s. By stimulating and shaping field research both on and off the railway corridor, the laying of iron tracks across the continent helped guide US science, just as it influenced so many other aspects of US life.