During the last ten years complexity research has received a large amount of attention by both the scientific community and the general public. One of the greatest draws of complexity as a field of research is the possibility of recognizing it in virtually every branch of science and he social sciences. However, despite the labelling of an increasingly large number of models and natural systems as ‘complex', the definition of the term has remained vague. In particular, attempts at such a (...) definition have failed to fully emancipate the notion of a complex system from those of a stochastically random and deterministically chaotic one. In this paper we will try to disentangle the definition of complexity from randomness and chaos. We will also examine the power of some existing entropy and complexity measures to distinguish a complex system from the other two. Our analysis indicates that the affinity of complexity to chaos has been overstated in the existing literature and that a careful distinction between phenomenological and dynamical complexity will be needed to achieve a successful definition. (shrink)

I will present a refutation of 6 and 7 inconsistency claim. Using the proof by Kiessling, I will show that Classical Electrodynamics can be applied consistently and can preserve energy conservation to the problem of charged, accelerated particles. This refutes the core of Frisch's inconsistency claim. Additionally, I will argue that Frisch's proof and the resulting debate is based on a comparison of different, approximate, explicit solutions to the Maxwell–Lorentz equations. However, in order to be informative on the foundations of (...) CED, an analysis would have to be focussed on the Maxwell–Lorentz equations as coupled system of equations. (shrink)

This article highlights and discusses the Ehrenfests’ use of toy models to explore irreversibility in statistical mechanics. In particular, we explore their urn and P–Q models and highlight that, while the former was primarily used to provide a simple counter-example to Zermelo’s objection to Boltzmann’s statistical mechanical underpinning of the Second Law of Thermodynamics, the latter was intended to highlight the role and importance of the Stoßzahlansatz as a cause of the tendency of systems to exhibit entropy increase. We also (...) explain the sense in which these models are toy models and why agents can use them, as the Ehrenfests’ did, to carry out this important work, despite the fact that they do not represent any real system. (shrink)

This book provides an analysis of the construction, diagnosis (as chaotic) and evaluation of models in chaos theory. It contains a detailed look at the interaction of the different models used in chaos theory and analyses how these models influence the way chaos is defined. Furthermore, the book discusses the conditions for the occurrence of chaos and the detection of chaos in nature.

The Element reconstructs, analyses and compares different derivational routes to a grounding of the Arrow of Time in entropy. It also evaluates the link between entropy and visible disorder, and the related claim of an alignment of the Arrow of Time with a development from order to visible disorder. The Element identifies three different entropy-groundings for the Arrow of Time: (i) the Empirical Arrow of Time, (ii) the Universal Statistical Arrow of Time, and (iii) the Local Statistical Arrow of Time. (...) The Element will also demonstrate that it is unlikely that high entropy states will always coincide with visible disorder. Therefore, it will dispute that there is a strong link between the Arrow of Time and visible disorder. (shrink)

In this paper, I argue that epidemic modeling of disease spreading involves both multi-model as well as multi-methodology reasoning. I demonstrate that epidemic modeling includes two different modeling methodologies: compartment and network modeling. Furthermore, within each of those methodologies, models are often constructed as structured groups of models, rather than as single models. I analyse the epistemic advantages of this mode of modeling, including complementary reasoning with different modeling methodologies and the ability to easily compare explanatory advantages of different models.

Die multiparadigmatische Struktur der Wissenschaften (kurz MSW) ist eine hoch interessante Aufsatzsammlung, welche an die Arbeit eines von 1996–2002 bestehen Spezialforschungsbereichs an der Universität Salzburg zum Thema „Theorien- und Paradigmenpluralismus in den Wissenschaften“ anknüpft. Die Arbeit dieser Forschungsgruppe und auch die in dem Buch zusammengefassten Untersuchungen zeichnen sich durch einen hohen Grad an Multidisziplinarität aus. MSW enthält Beiträge aus den Politikwissenschaften, den Erziehungswissenschaften, der Musikpädagogik, der Sportwissenschaft, der Linguistik, der Geschichte der Physik, der Soziologie und natürlich auch der Wissenschaftstheorie selbst. (...) Es ist besonders hervorzuheben, dass jeder dieser Beiträge von Fachwissenschaftlern geschrieben wurde. Eine solche Multidisziplinarität und Zusammenarbeit mit den Fachwissenschaften wird in der Wissenschaftstheorie oft gewünscht, lässt sich jedoch nur selten realisieren. Diese Konstellation an sich zeichnet MSW aus: Das Buch ist eine einmalige Dokumentation der Anwendung eines wissenschaftstheoretischen Konzepts auf zahlreiche Fachwissenschaften und als solche grundsätzlich zu empfehlen. (shrink)