What kind of mathematical research activities took place in prisoner of war camps in Germany during the Second World War? And can one inspect such activities in order to re-examine, on the one hand, Herbert Mehrtens’ analysis of the modernism/counter-modernism divide of early twentieth-century mathematics, and on the other, his research on the instrumentalization of mathematics during the war? Closely examining the work carried out in the field of algebraic geometry by the French mathematician Bernard d’Orgeval, who was held in three of such camps between 1940 and 1945, the paper aims not only to unfold this unique episode in the history of mathematics, presenting it as an ephemeral configuration, but also to show the limitations of Mehrtens’ approach and the narrative of modern and counter-modern mathematics.

Herbert Mehrtens‘ work and the implications of the historical ideas he advanced went beyond the history of any single discipline. The article therefore addresses three broad issues: (1) Mehrtens‘ reconceptualization of mathematical modernism, in his field-changing book Moderne—Sprache—Mathematik (1990) and other works, as an epistemic and cultural phenomenon in a way that could potentially reach across and also beyond the sciences and also link scientific and cultural modernisms; (2) the extension of his work to the history of modernity itself via the concept of “technocratic modernism”; (3) his seminal contributions to the historiography of the sciences and technology during the National Socialist period, focusing on his critique of claims that mathematics, the natural sciences and technology were morally or politically “neutral” during or after the Nazi era, and on his counter-claim that mathematicians and other scientists had in fact mobilized themselves and their knowledge in support of Nazism’s central political projects. Taken as a guide for understanding science-politics relations in general, Mehrtens‘ work was and remains a counterweight to the political abstinence adopted by many who have followed the “cultural turn” in history of science and technology. In the broadest sense, the article is a plea for the culturally relevant and politically engaged historiography of the sciences and humanities that Mehrtens himself pursued.

In the decade between 1983 and 1993, Herbert Mehrtens in West Berlin and I in East Berlin communicated closely about our parallel work on mathematics under the National Socialist (NS) regime. For a short period (1988–89), we worked on a joint book on this topic. We agreed that the book should be based primarily on empirical historical material, using a theoretical approach largely guided by Mehrtens’ work on social systems in mathematics (Mehrtens1981, 1987a). However, parallel work for his habilitation thesis on modernity in mathematics increasingly captivated Mehrtens’ interests. This, together with ongoing resistance among older mathematicians and the insecurities of our individual careers during times of considerable political change, particularly in East Germany, led to the failure of our joint project.

This paper aims at reconstructing—mostly by drawing on correspondence—parts of the dialogue between Mehrtens and me at the time. Our dialogue was influenced by our different upbringing and socialization in the two parts of Germany, and by different, though complementary, views about the combination of empirical and theoretical approaches to the historiography of mathematics.

In the epilogue, I describe how my later work in the decades from the 1990s on the history of mathematics profited much from Mehrtens’ early theoretical and empirical work but was less influenced by his book on modernity. That later work of mine was, however, mostly done at a time when Mehrtens had largely left the field and considered himself increasingly as a “cultural scientist” (Kulturwissenschaftler).

In this article we examine how a leading Israeli hospital gradually became a large biomedical research facility, resembling a huge laboratory. For Chaim Sheba (1908-1971), the founder and first director of Tel-Hashomer Hospital, the massive immigration to Israel in the 1950s was a unique opportunity for research of diverse human populations, especially Jews who had arrived to Israel from Asia and Africa. The paper focuses on the way research and medical practices were integrated and their boundaries blurred, and studies the conditions under which an entire hospital became a research field. Using the case of one of Israel’s prominent medical institutes, we explore and expand upon the idea of “the hospital as a laboratory,” arguing that, for Sheba, it was not only the hospital but the entire country that functioned as a great research site—a vast laboratory that “had no walls.”

Of Euclid’s lost manuscripts, few have elicited as much scholarly attention as the Porisms, of which a couple of brief summaries by late-Antiquity commentators are extant. Despite the lack of textual sources, attempts at restoring the content of this absent volume became numerous in early-modern Europe, following the diffusion of ancient mathematical manuscripts preserved in the Arabic world. Later, one similar attempt was that of French geometer Michel Chasles (1793–1880). This paper investigates the historiographical tenets and practices involved in Chasles’ restoration of the porisms, as well as the philosophical and mathematical claims tentatively buttressed therewith. Echoes of the Quarrel of the Ancients and the Moderns, and of a long-standing debate on the authority and usefulness of the past, are shown to have decisively shaped Chasles’ enterprise—and, with it, his integration of mathematical and historical research.

This article discusses two approaches to save the European white stork populations from extinction that emerged after 1980. Despite the shared objective to devise transnational, science-based conservation measures, the two approaches’ geographical focus was radically different. Projects by the World Wildlife Fund and the International Council for Bird Preservation focused firmly on the stork’s wintering areas on the African continent. Interventions by a second group of ornithologists at the Max Planck Institute for Ornithology in Radolfzell concentrated on the Middle East as a migration bottleneck. Based on archival research, interviews and correspondence with involved ornithologists, the article examines stork representations as an important lens for investigating the professional politics of ecology and conservation. It shows that representations of white storks, the birds’ ecology, and derived conservation hotspots became part of the boundary work used by European ornithologists in the creation of changing scientific and institutional identities.

When Japan faced the world after the collapse of its feudal system, it had to invent its own modern identity in which the Tokyo Cherry became the National Flower. Despite being a garden plant, it received a Latin scientific species name as if it was an endemic species. After Japan’s colonial conquest of Korea, exploring the flora of the peninsula became part of imperial knowledge practices of Japan. In the wild, a different cherry was discovered in Korea that was proposed as the endemic parent of the Tokyo Cherry, supporting imperialist policies. Following Japan’s defeat after the Pacific War, South Korea in turn entered its search for cultural identity. The supposed parent of the Tokyo Cherry was now successfully acclaimed as the parent species of the colonial oppressor’s Tokyo Cherry and named the King Cherry. Such scientific practice into cherries smoothly intertwined with nationalism and its legacy continues to interfere with research today.

The sociological study of knowledge infrastructures and classification has traditionally focused on the politics and practices of classifying things or people. However, actors’ work to escape dominant infrastructures and pre-established classification systems has received little attention. In response to this, this article argues that it is crucial to analyze, not only the practices and politics of classification, but also actors’ work to escape dominant classification systems. The article has two aims: First, to make a theoretical contribution to the study of classification by proposing to pay analytical attention to practices of escaping classification, what the article dubs classification egress. This concept directs our attention not only to the practices and politics of classifying things, but also to how actors work to escape or resist classification systems in practice. Second, the article aims to increase our understanding of the history of quantified and statistical health surveillance. In this, the article investigates how actors in health surveillance assembled a knowledge infrastructure for surveilling, quantifying, and detecting unknown patterns of congenital malformations in the wake of the thalidomide disaster in the early 1960s. The empirical account centers on the actors’ work to detect congenital malformations and escape the dominant nosological classification of diseases, the International Classification of Diseases (ICD), by replacing it with a procedural standard for reporting of symptoms. Thus, the article investigates how actors deal with the tension between the-already-known-and-classified and the unknown-unclassified-phenomenon in health surveillance practice.

This article uses four historical case studies to address epistemological issues related to the animal model of human diseases and its use in medical research on human diseases. The knowledge derived from animal models is widely assumed to be highly valid and predictive of reactions by human organisms. In this contribution, I use three significant historical cases of failure (ca. 1890, 1960, 2006), and a closer look at the emergence of the concept around 1860/70, to elucidate core assumptions related to the specific practices of animal-human knowledge transfer, and to analyze the explanations provided by historical actors after each of the failures. Based on these examples, I argue that the epistemological status of the animal model changed from that of a helpful methodological tool for addressing specific questions, but with precarious validity, to an obligatory method for the production of strong knowledge on human diseases. As a result, there now exists a culture of biomedical research in human disease that, for more than a century, has taken the value of this methodological tool as self-evident, and more or less beyond question.

In 1909, Italian zoologist Daniele Rosa (1857–1944) proposed a radical new evolutionary theory: hologenesis, or simultaneous, pan-terrestrial creation and evolution driven primarily by internal factors. Hologenesis was widely ignored or rejected outside Italy, but Swiss-French anthropologist George Montandon (1879–1944) eagerly embraced and developed the theory. An ambitious careerist, Montandon’s deep investment in an obscure and unpopular theory is puzzling. Today, Montandon is best known for his virulent antisemitism and active collaboration with the Nazi occupation of France at the end of his career. By that point, however, he had quietly moved away from hologenesis. This shift has gone unnoticed or been left unexplained in existing research. This article reexamines Montandon’s theoretical outlook and reasons for championing Rosa’s forgotten theory. It argues that while Montandon’s adoption of hologenesis arose from a complex blend of scientific and personal factors, his previously overlooked early fieldwork with the Ainu played a key role. In contrast, hologenesis did not inform Montandon’s later public antisemitism.

In this paper, we wish to explore the role that textual representations play in the creation of new mathematical objects. We do so by analyzing texts by Joseph-Louis Lagrange (1736–1813) and Évariste Galois (1811–1832), which are seen as central to the historical development of the mathematical concept of groups. In our analysis, we consider how the material features of representations relate to the changes in conceptualization that we see in the texts.

Against this backdrop, we discuss the idea that new mathematical concepts, in general, are increasingly abstract in the sense of being detached from material configurations. Our analysis supports the opposite view. We suggest that changes in the material aspects of textual representations (i.e., the actual graphic inscriptions) play an active and crucial role in conceptual change.

We employ an analytical framework adapted from Bruno Latour’s 1999 account of intertwined material and representational practices in the empirical sciences. This approach facilitates a foregrounding of the interconnection between the conceptual development of mathematics, and the construction, (re-)configuration, and manipulation of the materiality of representations. Our analysis suggests that, in mathematical practice, distinctions between the material and structural features of representations are not permanent and absolute. This problematizes the appropriateness of the distinction between concrete inscriptions and abstract relations in understanding the development of mathematical concepts.

The paper is based on a hitherto unexplored document (audiotape of an interview accompanied by a German transcript) from 1953, located in the Freud Papers at the Library of Congress. It contributes to a better understanding of the impact of Freud and of Psychoanalysis on personalities from the exact sciences, here represented by the noted applied mathematicians Richard von Mises and Hilda Geiringer from Vienna. The detailed discussion of the interview sheds some new light on the different roles of Kraus and Freud in the Vienna culture, on the Vienna Jugendkulturbewegung (youth culture movement) during WWI in which Geiringer was involved, on Freud’s and Siegfried Bernfeld’s standing around 1930 among German philosophers and psychologists, and on Wilhelm Fließ’ theory of periodicity, which von Mises—based on his attitude as an applied mathematician—defended against superficial accusations. Finally, new biographical material is provided for von Mises and the remotely related Freud family, and for Geiringer’s and von Mises’ early lives. The interview, which was taken during the Cold War, also allows conclusions as to how politics influenced the memories and views of the participants. Part of the aim of the paper is historical documentation of unknown material (letters by Karl Kraus and Wolfgang Köhler, one book review by Wilhelm Ostwald, a file on Richard Pfennig), including some correction of erroneous information in the literature.

This paper examines self-inscription, a mode of census enumeration that emerged during the nineteenth century. Starting in the 1840s, a number of European states introduced self-inscription as an auxiliary means to facilitate the work of enumerators. However, a decisive shift occurred when Prussian census statisticians implemented self-inscription via individual “Zählkarten”—or “counting cards”—in 1871. The paper argues that scientific ideals of accuracy and precision prevalent in the sciences at the time motivated Prussian census officials to initiate self-inscription as an at-home scenario unmediated by enumerators, in which the census form alone was to yield truthful information from the respondents. By illuminating the bureaucratic means for implementing scientific ideals and practices in gathering personal census data, the paper offers an in-depth analysis of the media, technologies, and manpower that census takers deployed to reveal the epistemic—as well as social and political—impact of being “true to form.”

In the spring of 1893, the Austrian writer and critic Hermann Bahr began interviewing various people on antisemitism, a subject of heated discussion in the European feuilleton around 1900. “Once again, I am travelling the world sounding out people’s opinions and listening to what they have to say,” he wrote in his introduction to a series of articles on that issue that appeared in the feuilleton of the Deutsche Zeitung between March and September 1893. A year later, the Berlin publishing house S. Fischer turned Bahr’s articles into a book. Bahr conducted a total of thirty-eight interviews with prominent personages, such as August Bebel, Theodor Mommsen, Ernst Haeckel, Henrik Ibsen and Jules Simon. Bahr did not focus on the arguments in favour or against antisemitism. Instead, he set out explicitly to investigate the sentiments, perceptions and opinions on this topic within the cultured classes. Yet, as I will show in this article, Bahr tried to capture not only the “sentiments” [Empfindungen] aired by his interviewees, but also the settings and interiors in which the interviews took place. I argue that these descriptions of physical space served Bahr as authentication, as a three-dimensional certificate for the “facts of opinion” [Meinungstatsachen] he recorded.

Collecting data about people with mental disorders living outside of asylums became a heightened concern from the early nineteenth century onwards. In Germany, so-called “insanity counts” targeted the number and sometimes the type the mentally ill who were living unattended and untreated by professional care throughout the country. An eagerly expressed assumption that the “true” extent of the gathered numbers must be much higher than the surveys could reveal came hand in glove with the emerging task of “managing” insanity and its potential dangers in a modern society. The doorstep of the family home became a crucial site in psychiatrists’ and enumerators’ efforts to register the most sensitive of personal data. This article traces the ever more diligent methods that were employed to obtain the desired information, as well as the hidden agenda of the postulate of missing data itself. It also addresses the profound impact that the presumption of having only incomplete data has had on the practice of counting and surveying, as well as on the understanding of the need for professional monitoring of mental illness.

This paper contrasts the research strategies of two women reformers, Florence Kelley and Ellen Swallow Richards, which entailed different strategies of social reform. In the early 1890s, social activist Florence Kelley used the social survey as a weapon for legal reform of the working conditions of women and children in Chicago’s sweatshop system. Kelley’s case shows that her surveys were most effective as “grounded” knowledge, rooted in a local community with which she was well acquainted. Her social survey, re-enacted by lawmakers and the press, provided the evidence that moved her target audience to legal action. Chemist and propagator of the Home Economics Movement Ellen Richards situated the social problem, and hence its solution, not in exploitative working conditions, but in the inefficient and wasteful usage of available resources by the poor. Laboratory work, she argued, would enable the development of optimal standards, and educational programs should bring these standards to the household by means of models and exhibits. With this aim, she constructed public spaces that she ran as food laboratories and sanitary experiments. Kelley and Richards thus crossed the doorsteps of the household in very different ways. While Florence Kelley entered the household to change the living and working conditions of the poor by changing the law, Richards flipped the household inside out by bringing women into hybrid public laboratory spaces to change their behavior by experiment and instruction.

Data collections are a hallmark of nineteenth-century administrative knowledge making, and they were by no means confined to Europe. All colonial empires transferred and translated these techniques of serialised and quantified information gathering to their dominions overseas. The colonial situation affected the encounters underlying vital statistics, enquête methods and land surveying. In this paper, two of those data collections will be investigated—a survey on land and a survey on indigenous law, both conducted around 1910 on the Micronesian island of Pohnpei, which had fallen under German colonial influence a decade earlier. Strikingly, there are no enumerators or envoys of the state visiting the doorsteps of Pohnpei. To facilitate the data collection on homesteads, the whole population of the island was called upon to measure their respective plots of land themselves, without resorting to certified land surveyors. The preserved cadastral lists and spreadsheets testify to a rather peculiar contact between the colonizing administration and the colonized peoples. I argue that the production of data made encounters necessary, which are best observed though a methodological focus on data practices. I argue, furthermore, that the Pohnpeians were prompted during the surveys to define their homestead in new terms. This did not only entail new two-dimensional plots but also a new regime of private property. The change in the legal concept can be seen as a continuation of colonial violence by other means, given that it happened in the aftermath of the defeated Pohnpei Rebellion. The argument of the paper is, therefore, that data collection can have formative effects on society, and that measurement and quantified information are often, as Witold Kula argued, a scene of conflict. At its core, the installation of these metric regimes signified a change in patterns of justification, resource management and the unwritten constitution of the Pacific island.

During the first half of the 1970s, climate research gained a new significance and began to be perceived within political and academic circles as being worthy of public support. Conventional explanations for this increased status include a series of climate anomalies that generated awareness and heightened concern over the potentially devastating effects of climate change. Controversial climatologist Reid Bryson was one of the first to publicly promote what he saw as a definitive link between these climate anomalies and unidirectional climate change in the fall of 1973, and rising food prices in the same year gave him a platform on which to air his views to receptive senior members of the US Congress. Bryson’s testimony before a US Senate subcommittee offers a unique glimpse into how he was able to successfully resonate his agenda with that of senior politicians in a time of crisis, as well as the immediate responses of those senior US politicians upon first hearing climate change arguments. Bryson was one of the most prominent US climatologists to break a taboo against making bold climatological predictions and de-facto policy recommendations in public. As a result, although Bryson was criticized by many in the climatological community, his actions instigated the involvement of other scientists in the public arena, leading to an important elevation in US public climate discourse.

In this comparative historical analysis, we will analyze the intellectual tendency that emerged between 1946 and 1956 to take advantage of the popularity of communication theory to develop a kind of informational epistemology of statistical mechanics. We will argue that this tendency results from a historical confluence in the early 1950s of certain theoretical claims of the so-called English School of Information Theory, championed by authors such as Gabor (1956) or MacKay (1969), and from the attempt to extend the profound success of Shannon’s ([1948] 1993) technical theory of sign transmission to the field of statistical thermal physics. As a paradigmatic example of this tendency, we will evaluate the intellectual work of Léon Brillouin (1956), who, in the mid-fifties, developed an information theoretical approach to statistical mechanical physics based on a concept of information linked to the knowledge of the observer.

During the eighteenth century, chemists in the Kingdom of Naples (the South of Italy) were very busy analyzing the chemical composition of ash from Mount Vesuvius. Undoubtedly, after a huge eruption this dusty phenomenon was the most important scientific object of debate. In fact, it was crucial to determine if there were dangerous elements in the ash so that the population could be warned about the potential hazards, such as polluted drinking water. This was not at all a simple issue, as on the other hand there were scholars who realized that ash could be beneficial as a fertilizer, even as clouds of ash had obscured the sun. As chemical inquiries became more precise and the toxic concentration of many elements became known, this double life of Vesuvian ash as a scientific object gradually died.