In spite of having published more than hundred articles and three monographs, the chemist and statistician Alfred James Lotka (1880–1949) is not very well known. Because he had not experienced a conventional academic curriculum, he remained ‚at the margins’ of the scientific community. In 1925 he aimed for a breakthrough with his first monograph Elements of Physical Biology. The basic idea of this study was to understand nature in terms of energy. Lotka’s mathematical approach was highly innovative, although he had (...) borrowed certain notions from his former teacher, the physical chemist Wilhelm Ostwald. This article focuses on the very process of how a new idea developed and spread through the scientific community, and tries to determine to what extent the author—with his personality, his intentions and feelings—was part of this process. This includes looking at the emotional strain that followed the publication of Lotka’s masterpiece. Considering his anxieties, worries and distress during the period of reception, and his efforts to make sure his book was acknowledged by its audience, the article sheds light on often neglected aspects of scientific work such as identification, intention, mimicry, originality, and rivalry. The case study deals with a systematic blindness in the history of science: it takes into account the actors of science, their personality and their strategic moves, in order to come to a better understanding of the close connection between their work and their actions. In addition, the history of Lotka’s worries about the reception of his book might help us challenge the postulate of „publish or perish“ in today’s science. (shrink)

One striking feature of the contemporary modelling practice is its interdisciplinary nature. The same equation forms, and mathematical and computational methods, are used across different disciplines, as well as within the same discipline. Are there, then, differences between intra- and interdisciplinary transfer, and can the comparison between the two provide more insight on the challenges of interdisciplinary theoretical work? We will study the development and various uses of the Ising model within physics, contrasting them to its applications to socio-economic systems. (...) While the renormalization group methods justify the transfer of the Ising model within physics – by ascribing them to the same universality class – its application to socio-economic phenomena has no such theoretical grounding. As a result, the insights gained by modelling socio-economic phenomena by the Ising model may remain limited. (shrink)

ABSTRACT Is there something specific about modelling that distinguishes it from many other theoretical endeavours? We consider Michael Weisberg’s thesis that modelling is a form of indirect representation through a close examination of the historical roots of the Lotka–Volterra model. While Weisberg discusses only Volterra’s work, we also study Lotka’s very different design of the Lotka–Volterra model. We will argue that while there are elements of indirect representation in both Volterra’s and Lotka’s modelling approaches, they are largely due to two (...) other features of contemporary model construction processes that Weisberg does not explicitly consider: the methods-drivenness and outcome-orientedness of modelling. 1Introduction 2Modelling as Indirect Representation 3The Design of the Lotka–Volterra Model by Volterra 3.1Volterra’s method of hypothesis 3.2The construction of the Lotka–Volterra model by Volterra 4The Design of the Lotka–Volterra Model by Lotka 4.1Physical biology according to Lotka 4.2Lotka’s systems approach and the Lotka–Volterra model 5Philosophical Discussion: Strategies and Tools of Modelling 5.1Volterra’s path from the method of isolation to the method of hypothesis 5.2The template-based approach of Lotka 5.3Modelling: methods-driven and outcome-oriented 6Conclusion. (shrink)