The traditional mode of explanation in physics via deduction from partial differential equations is contrasted here with explanation via simulations. I argue that the different technologies employed constitute different languages, which support different sorts of narratives. The narratives that accompany simulations and articulate their meaning are typically historical or natural historical in kind. They explain complex phenomena by growing them rather than by referring them to general laws. Examples of such growth simulations and growth narratives come from the evolution of (...) wave functions in quantum chaos, snowflake formation, and Etruscan genetics. The examples suggest a few concluding remarks on historical explanation. (shrink)

This article discusses the concept of mathematical metaphor as a tool for analyzing the formation of mathematical knowledge. It reflects on the work of Lakoff and Núñez as a reference point against which to rearticulate a richer notion of mathematical metaphor that can account for actual mathematical evolution. To reach its goal this article analyzes historical case studies, draws on cognitive research, and applies lessons from the history of metaphors in philosophy as analyzed by Derrida and de Man.

ZusammenfassungDer Beitrag nimmt den heute allgegenwärtigen Begriff „Daten“ als historische Kategorie in den Blick. Er geht der langsamen Verbreitung des Wortes unter Statistikern im 19. Jahrhundert nach und untersucht die materielle Kultur derjenigen Konzepte und Praktiken, die mit seiner Verwendung einhergingen. Am Beispiel der preußischen Volkszählung legt der Beitrag mit diesem Vorgehen bislang unbeachtete Genealogien datengetriebener Forschung frei: Nicht erst Computerspezialisten des 20. und 21. Jahrhunderts, sondern Wissenschaftler des 19. Jahrhunderts machten sich den Begriff für die Produktion streng abstrahierter, numerischer (...) Information zunutze. Sie entwickelten hochflexible Aufbereitungsverfahren von Massenerhebungen, lange bevor Maschinen wie das Hollerith-System oder der Computer die Kompilierung per Hand ersetzten. Bei der preußischen Volkszählung war das Werkzeug dieser „Verdatung“ die sogenannte Zählkarte, ein beweglicher Papierträger, der ein komplexes System der Auswertung erzwang. Der Beitrag rekonstruiert die Logistik dieses Verfahrens und verfolgt die durch ganz Berlin zirkulierenden Papiermassen. Er analysiert die Organisation der meist weiblichen, in Heimarbeit beschäftigten Auszähler und ermisst die sozialen und intellektuellen Anforderungen, die erforderlich wurden, um die auf den beweglichen Zählkarten eingeschriebenen Informationen möglichst schnell und fehlerlos in numerische Aggregate umzuwandeln. Der Beitrag argumentiert, dass die Verdatung nicht nur in der Bevölkerungsstatistik zu neuen Darstellungsformen und Erkenntnissen führte, sondern auch die Forschungspraktiken etlicher anderer „baconischer“ Wissenschaften prägte. Von der Nationalökonomie über die Taxonomie bis zur Paläontologie stärkte das Sehen und Verarbeiten von „Daten“ historische Sensibilitäten und führte zu überraschenden, epochalen Einsichten. (shrink)

The exploration of chemical periodicity over the past 250 years led to the development of the Periodic System of Elements and demonstrates the value of vague ideas that ignored early scientific anomalies and instead allowed for extended periods of normal science where new methodologies and concepts are developed. The basic chemical element provides this exploration with direction and explanation and has shown to be a central and historically adaptable concept for a theory of matter far from the reductionist frontier. This (...) is explored in the histories of Prout’s hypothesis, Döbereiner Triads, element inversions necessary when ordering chemical elements by atomic weights, and van den Broeck’s ad-hoc proposal to switch to nuclear charges instead. The development of more accurate methods to determine atomic weights, Rayleigh and Ramsey’s gas separation and analytical techniques, Moseley’s X-ray spectroscopy to identify chemical elements, and more recent accelerator-based cold fusion methods to create new elements at the end of the Periodic Table point to the importance of methodological development complementing conceptual advances. I propose to frame the crossover from physics to chemistry not as a loss of accuracy and precision but as an increased application of vague concepts such as similarity which permit classification. This approach provides epistemic flexibility to adapt to scientific anomalies and the continued growth of chemical compound space and rejects the Procrustean philosophy of reductionist physics. Furthermore, it establishes chemistry with its explanatory and operational autonomy epitomized by the periodic system of elements as a gateway to other experimental sciences. (shrink)

. Through examining a case study of a major fluids modelling code, this paper charts two key properties of software as a material for building models. Scientific software development is characterized by piecemeal growth, and as a code expands, it begins to manifest frustrating properties that provide an important axis of motivation in the laboratory. The first such feature is a tendency towards brittleness. The second is an accumulation of supporting technologies that sometimes cause scientists to express a frustration with (...) the bureaucracy of highly regulated working practices. Both these features are important conditions for the pursuit of research through simulation. (shrink)

In this paper, I discuss the discovery of the DNA structure by Francis Crick and James Watson, which has provoked a large historical literature but has yet not found entry into philosophical debates. I want to redress this imbalance. In contrast to the available historical literature, a strong emphasis will be placed upon analysing the roles played by theory, model, and evidence and the relationship between them. In particular, I am going to discuss not only Crick and Watson's well-known model (...) and Franklin's x-ray diffraction pictures (the evidence) but also the less well known theory of helical diffraction, which was absolutely crucial to Crick and Watson's discovery. The insights into this groundbreaking historical episode will have consequences for the ‘new’ received view of scientific models and their function and relationship to theory and world. The received view, dominated by works by Cartwright and Morgan and Morrison ([1999]), rather than trying to put forth a ‘theory of models’, is interested in questions to do with (i) the function of models in scientific practice and (ii) the construction of models. In regard to (i), the received view locates the model (as an idealized, simplified version of the real system under investigation) between theory and the world and sees the model as allowing the application of the former to the latter. As to (ii) Cartwright has argued for a phenomenologically driven view and Morgan and Morrison ([1999]) for the ‘autonomy’ of models in the construction process: models are determined neither by theory nor by the world. The present case study of the discovery of the DNA structure strongly challenges both (i) and (ii). In contrast to claim (i) of the received view, it was not Crick and Watson's model but rather the helical diffraction theory which served a mediating purpose between the model and the x-ray diffraction pictures. In particular, Cartwright's take on (ii) is refuted by a comparison of Franklin's bottom-up approach with Crick and Watson's top-down approach in constructing the model. The former led to difficulties, which only a strong confidence in the structure incorporated in the model could circumvent. How to Get to the Structure 1.1 X-ray diffraction and its synthesis 1.2 Model building and Pauling's panache 1.3 The structure of proteins 1.3.1 A failed inference to the best explanation 1.3.2 The misleading 5.1 Å spot in proteins and how to get rid of it 1.3.3 Derived predictions from Pauling's alpha-helix of protein molecules The CCV Theory of Helical X-Ray Diffraction 2.1 The role of the CCV theory in the discovery of the DNA structure Killing the Helix 3.1 Appreciating all evidence—in vain Conclusion Epilogue: Chargaff's Ratios CiteULike Connotea Del.icio.us What's this? (shrink)

Attention to scientific practice offers a novel response to philosophical queries about how conceptual understanding is empirically accountable. The locus of the issue is thereby shifted, from perceptual experience to experimental and fieldwork interactions. More important, conceptual articulation is shown to be not merely ?spontaneous? and intralinguistic, but instead involves a establishing a systematic domain of experimental operations. The importance of experimental practice for conceptual understanding is especially clearly illustrated by cases in which entire domains of scientific investigation were first (...) made accessible to articulated conceptual understanding. We thereby see more clearly how experimental systems themselves, and not merely the theories and models they make possible, have an intentional directedness and ?representational? import. (shrink)

Some recent philosophers of science have argued that chemistry in the nineteenth century “largely lacked theoretical foundations, and showed little progress in supplying such foundations” until around 1900, or even later. In particular, nineteenth-century atomic theory, it is said, “played no useful part” in the crowning achievement of nineteenth-century chemistry, the powerful subdiscipline of organic chemistry. This paper offers a contrary view. The idea that chemistry only gained useful theoretical foundations when it began to merge with physics, it will be (...) argued, is based on an implicit conception of scientific theory that is too narrow, and too exclusively oriented to the science of physics. A broader understanding of scientific theory, and one that is more appropriate to the science of chemistry, reveals the essential part that theory played in the development of chemistry in the nineteenth century. It also offers implications for our understanding of the nature of chemical theory today. (shrink)

: This essay addresses the difficulties that sociology as a discipline continues to experience in grasping the relations between technology, science and the social. I argue that these difficulties stem from a resolute centering of sociology on the social, which follows a generically Durkheimian blueprint. I elaborate a response to these difficulties which derives from recent lines of work in science and technology studies, and which entails a decentering of the social relative to the material and the conceptual, in terms (...) of both objects of analysis and explanatory formats. In order to display the direct sociological relevance of this approach, I move to the macro level, developing the conceptual apparatus of a decentered social theory via the discussion of a historical example of major sociological significance—the systematic gearing together of scientific research, technological innovation and industrial production that originated in the synthetic dye industry in the second half of the nineteenth century. Besides the interest of the topic itself, the aim is thus to exemplify in some detail what a decentered sociology might look like, both empirically and conceptually. (shrink)

The article takes the term "technoscience" literally and investigates a conception of science that takes it not only as practice, but as production in the sense of a material labor process. It will explore in particular the material connection between science and ordinary production. It will furthermore examine how the historical development of science as a social enterprise was shaped by its technoscientific character. In this context, in an excursus, the prevailing notion will be questioned that social relations must be (...) conceived of as pure interactions. Finally, the article will go into the relationship between the epistemic dimension of science and its technoscientific character. (shrink)

Existing accounts of the early history of Alzheimer’s disease have focused on Alois Alzheimer’s (1864–1915) publications of two ‘peculiar cases’ of middle-aged patients who showed symptoms associated with senile dementia, and Emil Kraepelin’s (1856–1926) discussion of these and a few other cases under the newly introduced name of ‘Alzheimer’s disease’ in his Textbook of Psychiatry. This article questions the underpinnings of these accounts that rely mainly on publications and describe ‘presenility’ as a defining characteristic of the disease. Drawing on archival (...) research in the Munich psychiatric clinic, in which Alzheimer and Kraepelin practised, this article looks at the use of the category as a diagnostic label in practice. It argues that the first cases only got their exemplary status as key referents of Alzheimer’s disease in later readings of the original publications. In the 1900s, the published cases rather functioned as material to think about the limits of the category of senile dementia. The examination of paper technologies in the Munich psychiatric clinic reveals that the use of the clinical diagnosis of Alzheimer’s disease was not limited to patients of a certain age and did not exclude ‘senile’ cases. Moreover, the archival records reflect that many diagnoses of Alzheimer’s disease were noted in the medical records as suspicions rather than conclusions. Against this background, the article argues that in theory and practice, Alzheimer’s disease was not treated as a well-defined disease entity in the Munich clinic, but as an exploratory category for the clinical and histopathological investigation of varieties of organic brain diseases. (shrink)

The concepts of molecular structure and molecular shape are ubiquitous in the chemical literature, where they are often taken as synonyms, with unavoidable drawbacks in chemistry teaching. A third concept, molecular topology, is less frequent but it is a reference term in molecular research domains such as Quantitative Structure–Activity Relationships. The present paper proposes an epistemological analysis of these three notions, aimed at clarifying the nature of their relationship, as well as the contiguities and differences between them. At first, we (...) discuss the various acceptations of the terms molecular structure and molecular shape. Then, we examine some crucial milestones in the history of these concepts and we analyse the relationship between structure, shape and topology from an epistemological viewpoint. We point out the distinguishing features of each concept and we show that their semantic openness, that may be fruitful in a specialized context, turns into a source of incoherence and inaccuracy in the teaching context, fostered by the misleading use of these terms made by textbooks. Eventually, we propose a criterion fit to discriminate between the conceptual domains of molecular shape, molecular structure and molecular topology. (shrink)

The aim of this paper is to engage with the interplay between representational content and design in chemistry and to explore some of its epistemological consequences. Constraints on representational content arising from the aspectual structure of representation can be manipulated by design. Designs are epistemologically important because representational content, hence our knowledge of target systems in chemistry, can change with design. The significance of this claim is that while it has been recognised that the way one conveys information makes a (...) difference to the inferences one can draw from representations in spite of the invariance of informational content, the present paper argues that in chemistry and biochemistry it is often the case that designs have cognitive priority relative to informational content. (shrink)

Diagrams can serve as representational models in scientific research, yet important questions remain about how they do so. I address some of these questions with a historical case study, in which diagrams were modified extensively in order to elaborate an early hypothesis of protein synthesis. The diagrams’ modelling role relied mainly on two features: diagrams were modified according to syntactic rules, which temporarily replaced physico-chemical reasoning, and diagram-to-target inferences were based on semantic interpretations. I then explore the lessons for the (...) relative roles of syntax, semantics, external marks, and mental images, for justifying diagram-to-target inferences, and for the “artefactual approach” to scientific models. (shrink)

The article takes the renewed popularity and interest in epidemiological modelling for Covid-19 as a point of departure to ask how modelling has historically shaped epidemiological reasoning. The focus lies on a particular model, developed in the late 1920s through a collaboration of the former field-epidemiologists and medical officer, Wade Hampton Frost, and the biostatistician and population ecologist Lowell Reed. Other than former approaches to epidemic theory in mathematical formula, the Reed-Frost epidemic theory was materialised in a simple mechanical analogue: (...) a box with coloured marbles and a wooden trough. The article reconstructs how the introduction of this mechanical model has reshaped epidemiological reasoning by shifting the field from purely descriptive to analytical practices. It was not incidental that the history of this model coincided with the foundation of epidemiology as an academic discipline, as it valorised and institutionalised new theoretical contributions to the field. Through its versatility, the model shifted the field’s focus from mono-causal explanations informed by bacteriology, eugenics or sanitary perspectives towards the systematic consideration of epidemics as a set of interdependent and dynamic variables. (shrink)

In a recent article, van Fraassen has taken issue with the use to which Perrin’s experiments on Brownian motion have been put by philosophers, especially those defending scientific realism. He defends an alternative position by analysing the details of Perrin’s case in its historical context. In this reply, I argue that van Fraassen has not done the job well enough and I extend and in some respects attempt to correct his claims by close attention to the historical details.

This paper suggests that the cases made for atoms and the aether in nineteenth-century physical science were analogous, with the implication that the case for the atom was less than compelling, since there is no aether. It is argued that atoms did not play a productive role in nineteenth-century chemistry any more than the aether did in physics. Atoms and molecules did eventually find an indispensable home in chemistry but by the time that they did so they were different kinds (...) of entities to those figuring in the speculations of those natural philosophers who were atomists. Advances in nineteenth-century chemistry were a precondition for rather than the result of the productive introduction of atoms into chemistry. (shrink)

The term Monte Carlo method indicates any computer-aided procedure for numerical estimation that combines mathematical calculations with randomly generated numerical input values. Today it is an important tool in high energy physics while physicists and philosophers also often consider it a sort of virtual experiment. The Monte Carlo method was developed in the 1940s, in the context of U.S. American nuclear weapons research, an event often regarded as the origin of both computer simulation and “artificial reality” (Galison 1997). The present (...) paper interrogates this strong claim by focusing on the emergence of Monte Carlo event generators in particle physics in the early 1960s. This historical case study shows how, as Monte Carlo computation became part of the toolbox of particle physicists around 1960, it was neither usually referred to as a “computer simulation” nor was it regarded as a surrogate for experimentation. In revising the history of this method, this paper asks, in what context did particle physicists of the 1960s decide to create FAKE, the first high-energy-physics Monte Carlo event simulator? What was their goal? And what epistemic role did FAKE play? In answering these questions, it is argued that Monte Carlo computations were not introduced into particle physics to simulate experiments, but rather they played the role of theoretical tools. The Monte Carlo method was able to do this thanks to its random component, a property which provided a means of modeling a specific phenomenon, so-called “(particle) resonances”. Indeed, in doing so, event generators even came to mutually assimilate and reshape the notions of particle and resonance, taking up an epistemic function which had previously been confined to physical-mathematical formulae: that of a medium which could express aspects of particle theory. (shrink)

Chemistry is the study of the structure and transformation of matter. When Aristotle founded the field in the 4th century BCE, his conceptual grasp of the nature of matter was tailored to accommodate a relatively simple range of observable phenomena. In the 21st century, chemistry has become the largest scientific discipline, producing over half a million publications a year ranging from direct empirical investigations to substantial theoretical work. However, the specialized interest in the conceptual issues arising in chemistry, hereafter Philosophy (...) of Chemistry, is a relatively recent addition to philosophy of science. Philosophy of chemistry has two major parts. In the first, conceptual issues arising within chemistry are carefully articulated and analyzed. Such questions which are internal to chemistry include the nature of substance, atomism, the chemical bond, and synthesis. In the second, traditional topics in philosophy of science such as realism, reduction, explanation, confirmation, and modeling are taken up within the context of chemistry. (shrink)

According to conventional wisdom, local gauge symmetry is not a symmetry of nature, but an artifact of how our theories represent nature. But a study of the so-called theta-vacuum appears to refute this view. The ground state of a quantized non-Abelian Yang-Mills gauge theory is characterized by a real-valued, dimensionless parameter theta—a fundamental new constant of nature. The structure of this vacuum state is often said to arise from a degeneracy of the vacuum of the corresponding classical theory, which degeneracy (...) allegedly arises from the fact that “large” (but not “small”) local gauge transformations connect physically distinct states of zero field energy. If that is right, then some local gauge transformations do generate empirical symmetries. In defending conventional wisdom against this challenge I hope to clarify the meaning of empirical symmetry while deepening our understanding of gauge transformations. I distinguish empirical from theoretical symmetries. Using Galileo’s ship and Faraday’s cube as illustrations, I say when an empirical symmetry is implied by a theoretical symmetry. I explain how the theta-vacuum arises, and how “large” gauge transformations differ from “small” ones. I then present two analogies from elementary quantum mechanics. By applying my analysis of the relation between empirical and theoretical symmetries, I show which analogy faithfully portrays the character of the vacuum state of a classical non-Abelian Yang-Mills gauge theory. The upshot is that “large” as well as “small” gauge transformations are purely formal symmetries of non-Abelian Yang-Mills gauge theories, whether classical or quantized. It is still worth distinguishing between these kinds of symmetries. An analysis of gauge within the constrained-Hamiltonian formalism yields the result that “large” gauge transformations should not be classified as gauge transformations; indeed, nor should “global” gauge transformations. In a theory in which boundary conditions are modeled dynamically, “global” gauge transformations may be associated with physical symmetries, corresponding to translations of these extra dynamical variables. Such translations are symmetries if and only if charge is conserved. But it is hard to argue that these symmetries are empirical, and in any case they do not correspond to any constant phase change in a quantum state. (shrink)

Since the early nineteenth century a membrane or wall has been central to the cell’s identity as the elementary unit of life. Yet the literally and metaphorically marginal status of the cell membrane made it the site of clashes over the definition of life and the proper way to study it. In this article I show how the modern cell membrane was conceived of by analogy to the first “artificial cell,” invented in 1864 by the chemist Moritz Traube (1826–1894), and (...) reimagined by the plant physiologist Wilhelm Pfeffer (1845–1920) as a precision osmometer. Pfeffer’s artificial cell osmometer became the conceptual and empirical basis for the law of dilute solutions in physical chemistry, but his use of an artificial analogue to theorize the existence of the plasma membrane as distinct from the cell wall prompted debate over whether biology ought to be more closely unified with the physical sciences, or whether it must remain independent as the science of life. By examining how the histories of plant physiology and physical chemistry intertwined through the artificial cell, I argue that modern biology relocated vitality from protoplasmic living matter to nonliving chemical substances—or, in broader cultural terms, that the disenchantment of life was accompanied by the (re)enchantment of ordinary matter. (shrink)