Our object in this paper is to study the antecedents, contents, implications, and impact of a not well-known or appreciated paper by EHRENFEST in 1911 on the essential nature of the different quantum hypotheses in radiation theory. After a careful analysis of EHRENFEST’s notebooks, correspondence, and publications, we conclude that the essential points of EHRENFEST’s paper were not perceived to a large extent, and hence that its implications were not considered thoroughly. Specifically, we show that EHRENFEST contributed significantly to the (...) clarifications of the differences between PLANCK’s and EINSTEIN’s respective quantum hypotheses, as well as to those of the concepts ‘‘discontinuity,’’ ‘‘quantization,’’ and ‘‘corpuscularity.’’. (shrink)

This paper traces the origins of the styles project, originally presented as ‘styles of scientific reasoning’. ‘Styles of scientific thinking & doing’ is a better label; the styles can also be called genres, or, ways of finding out. A. C. Crombie’s template of six fundamentally distinct ones was turned into a philosophical tool, but with a tinge of Paul Feyerabend’s anarchism. Ways of finding out are not defined by necessary and sufficient conditions, but can be recognized as distinct within a (...) sweeping, anthropological, vision of the European sciences. The approach is unabashedly whiggish. The emergence of these styles is part of what Reviel Netz calls cognitive history, and is to be understood in an ecological way. How did a species like ours, on an Earth like this, develop a few quite general strategies for finding out about, and altering, its world? At a more analytical level, the project invokes Bernard Williams’ notion of truthfulness to explicate the idea that these styles are ‘self-authenticating’ and without foundations. The paper concludes with open questions. What role have these few fundamentally distinct genres of inquiry played in the formation of the anomalous Western idea of Nature apart from Man? (shrink)

Roughly speaking, classical statistical physics is the branch of theoretical physics that aims to account for the thermal behaviour of macroscopic bodies in terms of a classical mechanical model of their microscopic constituents, with the help of probabilistic assumptions. In the last century and a half, a fair number of approaches have been developed to meet this aim. This study of their foundations assesses their coherence and analyzes the motivations for their basic assumptions, and the interpretations of their central concepts. (...) The most outstanding foundational problems are the explanation of time-asymmetry in thermal behaviour, the relative autonomy of thermal phenomena from their microscopic underpinning, and the meaning of probability. A more or less historic survey is given of the work of Maxwell, Boltzmann and Gibbs in statistical physics, and the problems and objections to which their work gave rise. Next, we review some modern approaches to (i) equilibrium statistical mechanics, such as ergodic theory and the theory of the thermodynamic limit; and to (ii) non-equilibrium statistical mechanics as provided by Lanford's work on the Boltzmann equation, the so-called Bogolyubov-Born-Green-Kirkwood-Yvon approach, and stochastic approaches such as `coarse-graining' and the `open systems' approach. In all cases, we focus on the subtle interplay between probabilistic assumptions, dynamical assumptions, initial conditions and other ingredients used in these approaches. (shrink)

In the sixth section of his light quantum paper of 1905, Einstein presented the miraculous argument, as I shall call it. Pointing out an analogy with ideal gases and dilute solutions, he showed that the macroscopic, thermodynamic properties of high-frequency heat radiation carry a distinctive signature of finitely many, spatially localized, independent components and so inferred that it consists of quanta. I describe how Einstein's other statistical papers of 1905 had already developed and exploited the idea that the ideal gas (...) law is another macroscopic signature of finitely many, spatially localized, independent components and that these papers in turn drew on his first two, "worthless" papers of 1901 and 1902 on intermolecular forces. However, while the ideal gas law was a secure signature of independence, it was harder to use as an indicator that there are finitely many components and that they are spatially localized. Further, since his analysis of the ideal gas law depended on the assumption that the number of components was fixed, its use was precluded for heat radiation, whose component quanta vary in number in most processes. So Einstein needed and found another, more powerful signature of discreteness applicable to heat radiation and which indicated all these properties. It used one of the few processes, volume fluctuation, in which heat radiation does not alter the number of quanta. © 2005 Elsevier Ltd. All rights reserved. (shrink)

This paper depicts Ian Hacking’s ‘styles of reasoning’ as conditions of possibility. After distinguishing between possibilities and causes, it articulates the implicit stratigraphical metaphor used to describe the relationship between different conditions of possibility, with ‘lower’ layers being necessary for ‘higher’ ones. It notes the use of this stratigraphical metaphor in the work of multiple scholars in history and in science studies. The paper suggests three ways in which this model can be useful: clarifying the definition and use of ‘context’ (...) in history of science; redefining counterfactuals as ‘possible historical worlds’; and thinking up new forms of ‘big picture’ histories of science. (shrink)

In the sixth section of his light quantum paper of 1905, Einstein presented the miraculous argument, as I shall call it. Pointing out an analogy with ideal gases and dilute solutions, he showed that the macroscopic, thermodynamic properties of high frequency heat radiation carry a distinctive signature of finitely many, spatially localized, independent components and so inferred that it consists of quanta. I describe how Einstein’s other statistical papers of 1905 had already developed and exploited the idea that the ideal (...) gas law is another macroscopic signature of finitely many, spatially localized, independent components and that these papers in turn drew on his first two, “worthless” papers of 1901 and 1902 on intermolecular forces. However, while the ideal gas law was a secure signature of independence, it was harder to use as an indicator that there are finitely many components and that they are spatially localized. Further, since his analysis of the ideal gas law depended on the assumption that the number of components was fixed, its use was precluded for heat radiation, whose component quanta vary in number in most processes. So Einstein needed and found another, more powerful signature of discreteness applicable to heat radiation and which indicated all these properties. It used one of the few processes, volume fluctuation, in which heat radiation does not alter the number of quanta. (shrink)

It is generally accepted that, around the turn of the century, GIBBS and EINSTEIN independently developed two equivalent formulations of statistical mechanics. GIBBS version is taken as genuine and rigorous, while EINSTEINs, despite some features which are characteristic of him, is usually considered a not totally satisfactory attempt.It will be shown in the present work that such a picture is oversimplified and requires further nuancing. In fact, there are significant differences, with important implications which have not been sufficiently examined, between (...) the two formulations. Several issues relating to the impact of the two versions will also be addressed. (shrink)

In this article, we analyze the third of three papers, in which Einstein presented his quantum theory of the ideal gas of 1924–1925. Although it failed to attract the attention of Einstein’s contemporaries and although also today very few commentators refer to it, we argue for its significance in the context of Einstein’s quantum researches. It contains an attempt to extend and exhaust the characterization of the monatomic ideal gas without appealing to combinatorics. Its ambiguities illustrate Einstein’s confusion with his (...) initial success in extending Bose’s results and in realizing the consequences of what later came to be called Bose–Einstein statistics. We discuss Einstein’s motivation for writing a non-combinatorial paper, partly in response to criticism by his friend Ehrenfest, and we paraphrase its content. Its arguments are based on Einstein’s belief in the complete analogy between the thermodynamics of light quanta and of material particles and invoke considerations of adiabatic transformations as well as of dimensional analysis. These techniques were well known to Einstein from earlier work on Wien’s displacement law, Planck’s radiation theory and the specific heat of solids. We also investigate the possible role of Ehrenfest in the gestation of the theory. (shrink)

This article examines the forces that have made federal scientific publication an essentially private enterprise. Particular attention is paid to the rise of the scientific community in the American political system. The period under review begins roughly with 1941 and American involvement in World War II, which coincides with the establishment of the Office of Scientific Research and Development (ORSD). The article examines OSRD's method of conducting federal scientific research, its contractual system, and the new publishing paradigm that it engendered. (...) The article concludes in the 1960s with congressional efforts to revise provisions in Title 17, the. (shrink)

In order to show how formal analogies between different physical systems play an important conceptual work in physics, this paper analyzes the evolution of Einstein’s thoughts on the structure of radiation from the point of view of the formal analogies he used as “lenses” to “see” through the “black box” of Planck’s blackbody radiation law. A comparison is also made with his 1925 paper on the quantum gas where he used the same formal methods. Changes of formal points of view (...) are most of the time taken for granted or passed over in silence in studies on the mathematization of physics as if they had no special significance. Revisiting Einstein’s classic papers on the nature of light and matter from the angle of the various theoretical tools he used, namely entropy and energy fluctuation calculations, helps explain why he was in a unique position to make visible the particle structure of radiation and the dual nature of light and matter. Finally, this case study calls attention to the more general question of the surprising creative power of formal analogies and their frequent use in theoretical physics. This aspect of intellectual creation can be useful in the teaching of physics. (shrink)

Die Fin de Siècle‐These. Der Aufsatz untersucht das Verhältnis zwischen John Heilbrons Argumentation, die Physiker des ‘fin de siecle’ hätten Bild und Substanz ihrer Disziplin kulturellen Belangen angepasst, und Paul Formans Interpretation der Akausalität in der Weimarer Periode. Ergänzend zu ihrer Fokussierung auf Repräsentationen anstelle von Wahrheit, legten die von Heilbron benannten Anhänger “deskriptionistischer” Epistemologien den Schwerpunkt auf Methodik, statistische anstelle kausaler Erklärungen, historisches Verständnis von Epistemologie und unterstrichen die Beziehungen zwischen der Physik und anderen Disziplinen. Ihre Perspektive liefert einen (...) intellektuellen Kontext – innerhalb der Disziplin Physik – für zumindestens einen Teil dessen, was Forman als Kapitulation vor einer feindlichen sozialen Umgebung, wie sie sich in Oswald Spenglers Der Untergang des Abendlandes ausdrückte, beschrieben hat.The Fin de Siècle Thesis. This paper examines the relations between John Heilbron's argument that fin de siècle physicists adjusted the image and substance of their discipline to cultural concerns, and Paul Forman's approach to acausality in the Weimar period. In addition to their focus on representation rather than truth, adherents of the “descriptionist” epistemologies that Heilbron identified also promoted an emphasis on method, statistical rather than causal explanations, historical understandings of epistemology, and stressed the relations between physics and other disciplines. Their views provide an intellectual context – within the physics discipline – for at least some part of what Forman had described as a capitulation to the hostile social environment expressed in Oswald Spengler's Der Untergang des Abendlandes. (shrink)

The present paper studies a specific way of addressing the question whether the laws involving the basic constituents of nature are statistical. While most German physicists, above all Planck, treated the issues of determinism and causality within a Kantian framework, the tradition which I call Vienna Indeterminism began from Mach’s reinterpretation of causality as functional dependence. This severed the bond between causality and realism because one could no longer avail oneself of a priori categories as a criterion for empirical reality. (...) Hence, an independent reality criterion had to be sought, a problem which all three physicists to be studied solved in different ways that were mainly conditioned by their different concepts of probability. In order to prevent a dissipation of intuited facts, Mach had to resort to a principle of unique determination as his reality criterion, especially when discussing the Principle of Least Action. Giving theories more independence, Boltzmann understood atomism as property reduction to precisely defined theoretical entities and their interactions. While this served as a relative reality criterion, he also advocated a constructivist one because atomism was already implied by our finitary reasoning power. Finally, Exner contemplated the idea that all apparently deterministic laws are only a macroscopic limit of an irreducible indeterminism, because by adopting the frequency interpretation, observable collectives could be considered as the real basic entities. (shrink)