The common cause principle says that every correlation is either due to a direct causal effect linking the correlated entities or is brought about by a third factor, a so-called common cause. The principle is of central importance in the philosophy of science, especially in causal explanation, causal modeling and in the foundations of quantum physics. Written for philosophers of science, physicists and statisticians, this book contributes to the debate over the validity of the common cause principle, by proving results (...) that bring to the surface the nature of explanation by common causes. It provides a technical and mathematically rigorous examination of the notion of common cause, providing an analysis not only in terms of classical probability measure spaces, which is typical in the available literature, but in quantum probability theory as well. The authors provide numerous open problems to further the debate and encourage future research in this field. (shrink)

The Borel–Kolmogorov Paradox is typically taken to highlight a tension between our intuition that certain conditional probabilities with respect to probability zero conditioning events are well defined and the mathematical definition of conditional probability by Bayes’ formula, which loses its meaning when the conditioning event has probability zero. We argue in this paper that the theory of conditional expectations is the proper mathematical device to conditionalize and that this theory allows conditionalization with respect to probability zero events. The conditional probabilities (...) on probability zero events in the Borel–Kolmogorov Paradox also can be calculated using conditional expectations. The alleged clash arising from the fact that one obtains different values for the conditional probabilities on probability zero events depending on what conditional expectation one uses to calculate them is resolved by showing that the different conditional probabilities obtained using different conditional expectations cannot be interpreted as calculating in different parametrizations of the conditional probabilities of the same event with respect to the same conditioning conditions. We conclude that there is no clash between the correct intuition about what the conditional probabilities with respect to probability zero events are and the technically proper concept of conditionalization via conditional expectations—the Borel–Kolmogorov Paradox is just a pseudo-paradox. (shrink)

The problem of free will as it is know in Western philosophical traditions is hardly known in China. Considering how central the problem is in the West, this is a remarkable fact. We try to explain this, and we offer insights into discussions within Chinese traditions that we think are related, not historically but regarding the issues discussed. Thus we introduce four central Chinese concepts, namely: (1) xīn 心 (heart, heart-mind), (2) xìng 性 (human nature, characteristic tendencies, inborn capacity), (3) (...) mìng 命 (lifespan, fate, command, allotment, endowment), and (4) zìrán 自然 (self-so, so of itself, nature, spontaneity), and we indicate how these concepts and their discussions can be related to discussions on free will. (shrink)

He is currently a research fellow at the University of Frankfurt. Theory and Politics is included in the series, Studies in Contemporary German Social Thought, edited by Thomas McCarthy.

He finds the key in the concept of responsibility, which implies not only the freedom and flexibility of responsiveness to others but also a guiding ideal of ...

ZusammenfassungDie traditionsreiche Deutsche Gesellschaft für Innere Medizin war durch ihr Agieren in der NS-Zeit belastet. Vor ihrem ersten Nachkriegskongress 1948 in Karlsruhe fiel dem Bonner Klinikdirektor Paul Martini die Rolle eines Reorganisators zu. Martini, der während der NS-Zeit in Opposition zum Regime gestanden hatte, wählte einen Kurs umfassender Integration. Verfolgte des NS-Staats versuchte er ebenso in die DGIM einzubinden wie einstige gemäßigte Nationalsozialisten. Zugleich bemühte er sich um die Bewahrung des gesamtdeutschen Charakters der Kongresse sowie um einen zügigen Anschluss an (...) die internationale Forschung. Dennoch führte der eingeschlagene Weg die DGIM in nur scheinbar unpolitische Wissenschaftlichkeit und Jahrzehnte weitgehender Kritiklosigkeit gegenüber ihrer NS-Geschichte. (shrink)

It is shown that, given any finite set of pairs of random events in a Boolean algebra which are correlated with respect to a fixed probability measure on the algebra, the algebra can be extended in such a way that the extension contains events that can be regarded as common causes of the correlations in the sense of Reichenbach's definition of common cause. It is shown, further, that, given any quantum probability space and any set of commuting events in it (...) which are correlated with respect to a fixed quantum state, the quantum probability space can be extended in such a way that the extension contains common causes of all the selected correlations, where common cause is again taken in the sense of Reichenbach's definition. It is argued that these results very strongly restrict the possible ways of disproving Reichenbach's Common Cause Principle. (shrink)

This article presents a critical qualitative study of two opinion articles, written by two eminent scholars (Jürgen Habermas and Timothy Snyder), on the German government’s hesitant arms supply for Ukraine during the first phase of the Russian war of aggression in 2022. The main aim of the article is the uncovering of the discursive practices of critique performed by two major public intellectuals. This case study thus allows insights into the simplistic representation of the Russo-Ukrainian war in German elite media (...) discourse. The analysis focuses on actor representations and topic limitations and manipulations in the two op-eds. It is shown that both Habermas and Snyder use characteristic ways of social actor representations in their texts which exhibit their allegiances. Furthermore, both of them limit and change topics at the meso- and macro-levels of their texts in order to make their arguments sound. In closing, the critical potential of linguistic discourse analysis is shortly addressed by arguing that the context sensitive application of the categories for analyzing discourse can uncover the internal norms to which authors orient which makes them open for a critical analysis. (shrink)

Dieser Titel aus dem De Gruyter-Verlagsarchiv ist digitalisiert worden, um ihn der wissenschaftlichen Forschung zugänglich zu machen. Da der Titel erstmals im Nationalsozialismus publiziert wurde, ist er in besonderem Maße in seinem historischen Kontext zu betrachten. Mehr erfahren Sie.

A partition $\{C_i\}_{i\in I}$ of a Boolean algebra $\cS$ in a probability measure space $(\cS,p)$ is called a Reichenbachian common cause system for the correlated pair $A,B$ of events in $\cS$ if any two elements in the partition behave like a Reichenbachian common cause and its complement, the cardinality of the index set $I$ is called the size of the common cause system. It is shown that given any correlation in $(\cS,p)$, and given any finite size $n>2$, the probability space (...) $(\cS,p)$ can be embedded into a larger probability space in such a manner that the larger space contains a Reichenbachian common cause system of size $n$ for the correlation. It also is shown that every totally ordered subset in the partially ordered set of all partitions of \cS$ contains only one Reichenbachian common cause system. Some open problems concerning Reichenbachian common cause systems are formulated. (shrink)