Kreisel’s conjecture is the statement: if, for all$n\in \mathbb {N}$,$\mathop {\text {PA}} \nolimits \vdash _{k \text { steps}} \varphi (\overline {n})$, then$\mathop {\text {PA}} \nolimits \vdash \forall x.\varphi (x)$. For a theory of arithmeticT, given a recursive functionh,$T \vdash _{\leq h} \varphi $holds if there is a proof of$\varphi $inTwhose code is at most$h(\#\varphi )$. This notion depends on the underlying coding.${P}^h_T(x)$is a predicate for$\vdash _{\leq h}$inT. It is shown that there exist a sentence$\varphi $and a total recursive functionhsuch that$T\vdash (...) _{\leq h}\mathop {\text {Pr}} \nolimits _T(\ulcorner \mathop {\text {Pr}} \nolimits _T(\ulcorner \varphi \urcorner )\rightarrow \varphi \urcorner )$, but, where$\mathop {\text {Pr}} \nolimits _T$stands for the standard provability predicate inT. This statement is related to a conjecture by Montagna. Also variants and weakenings of Kreisel’s conjecture are studied. By the use of reflexion principles, one can obtain a theory$T^h_\Gamma $that extendsTsuch that a version of Kreisel’s conjecture holds: given a recursive functionhand$\varphi (x)$a$\Gamma $-formula (where$\Gamma $is an arbitrarily fixed class of formulas) such that, for all$n\in \mathbb {N}$,$T\vdash _{\leq h} \varphi (\overline {n})$, then$T^h_\Gamma \vdash \forall x.\varphi (x)$. Derivability conditions are studied for a theory to satisfy the following implication: if, then$T\vdash \forall x.\varphi (x)$. This corresponds to an arithmetization of Kreisel’s conjecture. It is shown that, for certain theories, there exists a functionhsuch that$\vdash _{k \text { steps}}\ \subseteq\ \vdash _{\leq h}$. (shrink)

ArgumentThe paper is based on a hitherto unexplored document (audiotape of an interview accompanied by a German transcript) from 1953, located in the Freud Papers at the Library of Congress. It contributes to a better understanding of the impact of Freud and of Psychoanalysis on personalities from the exact sciences, here represented by the noted applied mathematicians Richard von Mises and Hilda Geiringer from Vienna. The detailed discussion of the interview sheds some new light on the different roles of Kraus (...) and Freud in the Vienna culture, on the Vienna Jugendkulturbewegung (youth culture movement) during WWI in which Geiringer was involved, on Freud’s and Siegfried Bernfeld’s standing around 1930 among German philosophers and psychologists, and on Wilhelm Fließ’ theory of periodicity, which von Mises—based on his attitude as an applied mathematician—defended against superficial accusations. Finally, new biographical material is provided for von Mises and the remotely related Freud family, and for Geiringer’s and von Mises’ early lives. The interview, which was taken during the Cold War, also allows conclusions as to how politics influenced the memories and views of the participants. Part of the aim of the paper is historical documentation of unknown material (letters by Karl Kraus and Wolfgang Köhler, one book review by Wilhelm Ostwald, a file on Richard Pfennig), including some correction of erroneous information in the literature. (shrink)

What follows shall provide an introduction to a predominantly philosophical and polemical, but historically revealing, paper on the foundations of the theory of probability. The leading Russian probabilist Aleksandr Yakovlevich Khinchin wrote the paper in the late 1930s, commenting on a slightly older, but still competing approach to probability theory by Richard von Mises. Together with the even more influential Andrey Nikolayevich Kolmogorov, who was nine years his junior, Khinchin had revolutionized probability theory around 1930 by introducing the modern measure-theoretic (...) approach, which is still standard today and which allowed for a sufficiently general treatment of important new notions such as “stochastic processes.” This development had its first culmination in Kolmogorov's booklet, Grundbegriffe der Wahrscheinlichkeitsrechnung, written in German in 1933, which has exerted an enormous influence world wide. (shrink)

Modem theory of law in a certain extent needs theological foundation. The dialogue of both law and theology, however, requires specific presuppositions in theological understanding. Paul Tillich's Systematic Theology in its peculiar character of combining theological »paradoxon« and openess for cultural recognition meets these demands.

Modem theory of law in a certain extent needs theological foundation. The dialogue of both law and theology, however, requires specific presuppositions in theological understanding. Paul Tillich's Systematic Theology in its peculiar character of combining theological »paradoxon« and openess for cultural recognition meets these demands.

This paper is divided into a surveying and argumentative part and a slightly longer documentary part, which is meant to verify or at least make more plausible claims made in the first part. The first part deals in broad outline with the relationship of Frank and von Mises to the Vienna Circle of Logical Empiricism on the one hand and to the physicists and mathematicians in the German-speaking world on the other. The varying special positions, partly the non-conformity of the (...) two Austrian scientists are emphasized, in particular, their adherence to Ernst Mach’s epistemology and their shared interest in probability theory and applied mathematics. The impact of emigration and the after-effects in the U.S. are discussed. This leads to new insights into the fine structure of the Vienna Circle and the latter’s relationship to German academia within ‘Weimar Culture’. P. Forman’s interpretation (1971) of von Mises’ position is critically discussed. The second, documentary part, uses recently discovered correspondence between Frank and von Mises, and, to a lesser extent, von Mises’ personal diary. It aims at further substantiating some of the introductory theses and will at the same time provide material for a thorough biographical appreciation of the two scholars and friends. (shrink)

Sustainable development (SD) – that is, “Development that meets the needs of current generations without compromising the ability of future generations to meet their needs and aspirations” – can be pursued in many different ways. Stakeholder relations management (SRM) is one such way, through which corporations are confronted with economic, social, and environmental stakeholder claims. This paper lays the groundwork for an empirical analysis of the question of how far SD can be achieved through SRM. It describes the so-called SD–SRM (...) perspective as a distinctive research approach and shows how it relates to the wider body of stakeholder theory. Next, the concept of SD is operationalized for the microeconomic level with reference to important documents. Based on the ensuing SD framework, it is shown how SD and SRM relate to each other, and how the two concepts relate to other popular concepts such as Corporate Sustainability and Corporate Social Responsibility. The paper concludes that the significance of societal guiding models such as SD and of management approaches like CSR is strongly dependent on their footing in society. (shrink)

This book provides readers with in-depth insights into Corporate Social Responsibility and sustainability strategies, as well as their impacts on product and process innovation, business models and social innovation around the globe. It explains how resource issues, climate change, the impacts of pollution and economic activities, and emerging social challenges inevitably lead to changes in the business environment, cost structure and competitive advantage. Further, it highlights how these changes influence the process of innovation, and how companies can gain an edge (...) by integrating stakeholder groups in their innovation process, and by considering sustainability and the needs of society at large. The book reflects the immense strides made in recent years in the discussion about the relationship between business and society, and demonstrates the increasing impact on innovation management. (shrink)

_Heidegger's Hidden Sources_ documents for the first time Heidegger's remarkable debt to East Asian philosophy. In this groundbreaking study, Reinhard May shows conclusively that Martin Heidegger borrowed some of the major ideas of his philosophy - on occasion almost word for word - from German translations of Chinese Daoist and Zen Buddhist classics. The discovery of this astonishing appropriation of non-Western sources will have important consequences for future interpretations of Heidegger's work. Moreover, it shows Heidegger as a pioneer of (...) comparative philosophy and transcultural thinking. (shrink)

_Heidegger's Hidden Sources_ documents for the first time Heidegger's remarkable debt to East Asian philosophy. In this groundbreaking study, Reinhard May shows conclusively that Martin Heidegger borrowed some of the major ideas of his philosophy - on occasion almost word for word - from German translations of Chinese Daoist and Zen Buddhist classics. The discovery of this astonishing appropriation of non-Western sources will have important consequences for future interpretations of Heidegger's work. Moreover, it shows Heidegger as a pioneer of (...) comparative philosophy and transcultural thinking. (shrink)