We study interpolation for elementary fragments of classical linear logic. Unlike in intuitionistic logic (see [Renardel de Lavalette, 1989]) there are fragments in linear logic for which interpolation does not hold. We prove interpolation for a lot of fragments and refute it for the multiplicative fragment (→, +), using proof nets and quantum graphs. We give a separate proof for the fragment with implication and product, but without the structural rule of permutation. This is nearly the Lambek calculus. There is (...) an appendix explaining what quantum graphs are and how they relate to proof nets. (shrink)

Volume 1 of this biography of L. E. J. Brouwer was published in 1999.1 The volume under review here covers the period from the early nineteen twenties until Brouwer's death in 1966. It also includes a short epilogue that discusses the disposition of Brouwer's estate after his death, his influence on others, the paths of some of his students and colleagues, and other matters. Van Dalen notes in the Preface that in preparing this volume he consulted some historical studies that (...) appeared after the first volume was published. He also used new material from various archives. The biography contains interesting quotations from unpublished materials in the Brouwer Archive and from correspondence. The bibliographical references to Brouwer's publications, it should be noted, are somewhat different in this volume. This volume, like the first, contains some nice photographs and reproductions. I noted that there were many typographical errors in the earlier book but Volume 2 is relatively free of them.As is the case in Volume 1, the discussion of Brouwer's mathematical and philosophical work is woven into the narrative of Brouwer's life and times. The story in this volume starts with Brouwer's first contacts with Paul Alexandrov and Paul Urysohn in 1923. The interaction began when Urysohn announced that he had found a mistake in Brouwer's definition of dimension in Brouwer's 1913 paper on natural dimension. Was it just a slip of the pen, as Brouwer always maintained, or something more substantial? Urysohn and Alexandrov ultimately came to agree with Brouwer on the matter, and Urysohn was prepared to grant Brouwer priority for the definition of dimension. There were, however, ups and downs along the way. Karl Menger, through his own work in topology and dimension theory, soon got into the picture, and Brouwer and Menger were to …. (shrink)

Jonathan Wolff is Professor of Philosophy at University College London. He is the author of Robert Nozick (1991), An Introduction to Political Philosophy (1996) and Why Read Marx Today (2002). He is currently working on a number of topics at the intersection of political philosophy and public policy.

The paper sets out and defends against criticism the claims argued for in the book A minimalist ontology of the natural world.

Friedrich Nietzsche's complex connection to Charles Darwin has been much explored, and both scholarly and popular opinions have tended to assume a convergence in their thinking. In this study, Dirk Johnson challenges that assumption and takes seriously Nietzsche's own explicitly stated 'anti-Darwinism'. He argues for the importance of Darwin for the development of Nietzsche's philosophy, but he places emphasis on the antagonistic character of their relationship and suggests that Nietzsche's mature critique against Darwin represents the key to understanding his (...) broader Darwinian position. He also offers an original reinterpretation of the Genealogy of Morals, a text long considered sympathetic to Darwinian naturalism, but which he argues should be taken as Nietzsche's most sophisticated critique of both Darwin and his followers. His book will appeal to all who are interested in the philosophy of Nietzsche and its cultural context. (shrink)

"To some people, life is very simple . . . no shadings and grays, all blacks and whites. . . . Now, others of us find that good, bad, right, wrong, are many-sided, complex things. We try to see every side; but the more we see, the less sure we are." —Sir John Talbot, The Wolf Man (Universal Pictures, 1941).

Friedrich Nietzsche's complex connection to Charles Darwin has been much explored, and both scholarly and popular opinions have tended to assume a convergence in their thinking. In this study, Dirk Johnson challenges that assumption and takes seriously Nietzsche's own explicitly stated 'anti-Darwinism'. He argues for the importance of Darwin for the development of Nietzsche's philosophy, but he places emphasis on the antagonistic character of their relationship and suggests that Nietzsche's mature critique against Darwin represents the key to understanding his (...) broader Darwinian position. He also offers an original reinterpretation of the Genealogy of Morals, a text long considered sympathetic to Darwinian naturalism, but which he argues should be taken as Nietzsche's most sophisticated critique of both Darwin and his followers. His book will appeal to all who are interested in the philosophy of Nietzsche and its cultural context. (shrink)

This text provides an introduction to the history and current state of theories of word meanings.

Stoicism was one of the new philosophical movements of the Hellenistic period. The name derives from the porch (stoa poikilê) in the Agora at Athens decorated with mural paintings, where the members of the school congregated, and their lectures were held. Unlike ‘epicurean,’ the sense of the English adjective ‘stoical’ is not utterly misleading with regard to its philosophical origins. The Stoics did, in fact, hold that emotions like fear or envy (or impassioned sexual attachments, or passionate love of anything (...) whatsoever) either were, or arose from, false judgements and that the sage—a person who had attained moral and intellectual perfection—would not undergo them. The later Stoics of Roman Imperial times, Seneca and Epictetus, emphasise the doctrines (already central to the early Stoics' teachings) that the sage is utterly immune to misfortune and that virtue is sufficient for happiness. Our phrase ‘stoic calm’ perhaps encapsulates the general drift of these claims. It does not, however, hint at the even more radical ethical views which the Stoics defended, e.g. that only the sage is free while all others are slaves, or that all those who are morally vicious are equally so. Though it seems clear that some Stoics took a kind of perverse joy in advocating views which seem so at odds with common sense, they did not do so simply to shock. Stoic ethics achieves a certain plausibility within the context of their physical theory and psychology, and within the framework of Greek ethical theory as that was handed down to them from Plato and Aristotle. It seems that they were well aware of the mutually interdependent nature of their philosophical views, likening philosophy itself to a living animal in which logic is bones and sinews; ethics and physics, the flesh and the soul respectively (another version reverses this assignment, making ethics the.. (shrink)

Dirk Paul Bogner widmet sich der Frage, welche Relevanz Kurt Lewins Feldtheorie im Bereich der pädagogischen Diagnostik haben könnte. Er untermauert die These, dass die Lewin’sche Feldtheorie eine völlig neue Sicht auf Lern-, Entwicklungs- und Erziehungsprozesse eröffnen würde, und legt dar, inwiefern die Einbeziehung der Dimension des Raumes die Analyse dieser erziehungswissenschaftlich relevanten Topoi verfeinern könnte. Er erörtert mittels hermeneutischer Textauslegung und vergleichender Dokumentenanalyse, warum Lewin keine erziehungswissenschaftliche Resonanz erzeugen konnte, obwohl in der Erziehungswissenschaft auch heute noch intensiv Begriffe, (...) die entweder direkt aus der Feldtheorie stammen oder aber von dieser konsequent definiert wurden, verwendet werden. (shrink)

Aus den wirtschaftlichen Turbulenzen des vergangenen Jahrzehnts leitet sich die Frage nach der Verantwortung fur die Gestaltung der Wirtschaftslandschaft ab. Die Arbeit untersucht daher, ob betriebswirtschaftliche Hochschullehrer die Werte ihrer Studierenden beeinflussen wollen und entwickelt ein detailliertes konzeptionelles Modell. Zur Modellvalidierung werden deskriptive Analysen, Strukturgleichungsmodelle und Clusteranalysen auf Daten aus einer weltweiten Befragung von 1.741 betriebswirtschaftlichen Hochschullehrern angewendet. Die Analysen zeigen weltweit eine starke Intention zur Wertebeeinflussung, mit besonderer Werteskepsis in Deutschland. Die Unterstutzung von Kollegen und Verbanden erwies sich als (...) wichtige Voraussetzung fur die Steigerung der Beeinflussungsintention.". (shrink)

We give a model for iterated belief change in multi-agent systems. The formal tool we use for this is a combination of modal and dynamic logic. Two core notions in our model are the expansion of the knowledge and beliefs of an agent, and the processing of new information. An expansion is defined as the change in the knowledge and beliefs of an agent when it decides to believe an incoming formula while holding on to its current propositional beliefs. To (...) prevent our agents from forming inconsistent beliefs they do not expand with every piece of information they receive. Instead, our agents remember their original beliefs and every piece of information they receive. After every receipt of information they decide which subset of the received information should be incorporated into their original beliefs. This procedure is called the processing of new information. We show that our model of belief update behaves in an intuitive way and that it is not sensitive to criticism on comparable models. (shrink)

We show that it is impossible in quantum mechanics to describe two separated physical systems. This is due to the mathematical structure of quantum mechanics. It is possible to give a description of two separated systems in a theory which is a generalization of quantum mechanics and of classical mechanics, in the sense that this theory contains both theories as special cases. We identify the axioms of quantum mechanics that make it impossible to describe separated systems. One of these axioms (...) is equivalent to the superposition principle. We show how these findings throw a different light on the paradox of Einstein, Podolsky, and Rosen. (shrink)

Surveys the ideals of friendship in ancient Greco-Roman philosophy. The notion of the best friendship inevitably reflects the various conceptions of a good life.

In Miletus, about 550 B.C., together with our world-picture cosmology was born. This book tells the story. In Part One the reader is introduced in the archaic world-picture of a flat earth with the cupola of the celestial vault onto which the celestial bodies are attached. One of the subjects treated in that context is the riddle of the tilted celestial axis. This part also contains an extensive chapter on archaic astronomical instruments. Part Two shows how Anaximander (610-547 B.C.) blew (...) up this archaic world-picture and replaced it by a new one that is essentially still ours. He taught that the celestial bodies orbit at different distances and that the earth floats unsupported in space. This makes him the founding father of cosmology. Part Three discusses topics that completed the new picture described by Anaximander. Special attention is paid to the confrontation between Anaxagoras and Aristotle on the question whether the earth is flat or spherical, and on the battle between Aristotle and Heraclides Ponticus on the question whether the universe is finite or infinite. (shrink)

Verhandeling door de zestiende-eeuwse Nederlandse denker over ethiek en het leiden van een deugdzaam leven.

Prototype theory makes a crucial distinction between central and peripheral sense of words. Geeraerts explores the implications of this model for a theory of semantic change, in the first full-scale treatment of the impact of the most recent developments in lexicological theory on the study of meaning change. He identifies structural features of the development of word meanings which follow from a prototype-theoretical model of semantic structure, and incorporates these diachronic prototypicality effects into a theory of meaning change.

The importance of digital technologies for social and economic developments and a growing focus on data collection and privacy concerns have made the Internet a salient and visible issue in global politics. Recent developments have increased the awareness that the current approach of governments and business to the governance of the Internet and the adjacent technological spaces raises a host of ethical issues. The significance and challenges of the digital age have been further accentuated by a string of highly exposed (...) cases of surveillance and a growing concern about issues of privacy and the power of this new industry. This special issue explores what some have referred to as the “Internet-industrial complex”—the intersections between business, states, and other actors in the shaping, development, and governance of the Internet. (shrink)

Dirk Westerkamp fragt nach der ästhetischen Erfahrung des Verweilens an Kunstwerken. Verweilen, Kontemplation und Muße stiften einen besonderen Umgang mit Gegenständen und einen besonderen Zugang zur Zeit. Wer sich in die Betrachtung von Kunstwerken versenkt, entrückt gewohnten Zeitbezügen. Im ästhetischen Verweilen geben wir uns Zeit für Erfahrungen mit natürlich und künstlich Hervorgebrachtem. Verweilen entfaltet sich in der Freiheit von Zeit. Als Kontemplation zielt eine solche Erfahrung allerdings nicht nur auf die Freiheit von der Herrschaft der Zeit. Gewonnen wird sie (...) auch in der Erfahrung von Zeitlichkeit selbst. In den Bildkünsten wird diese Kontemplationserfahrung durch unterschiedliche Techniken des Zeitigens bewirkt. Zu diesem Zweck gestalten ihre werkspezifischen Formen des räumlich-flächigen Zeigens ikonisch prägnante Momente. Eröffnet möglicherweise die Versenkung in die Zeitbezüge von Kunstwerken eine eigene Erfahrung ästhetischen Verweilens? Nach allgemeinen Überlegungen zu den Formen der Zeitlichkeit des Verweilens entwirft Dirk Westerkamp im ersten Teil seiner Untersuchung eine allgemeine Theorie künstlerischer Abstraktion und stellt ein relationales Bildmodell zur Diskussion. Anschließend rückt er die theoretischen Überlegungen in die umfassendere zeitgeschichtliche Perspektive ästhetischer Modernität und deutet das ästhetische Verweilen als Form einer modern verwandelten symbolischen Einbildungskraft. (shrink)

Drawing on letters, orations and disputations, this book argues that during the seventeenth century, the Amsterdam Athenaeum, despite the revolutionary debates of the time, and despite the intellectual liberalism characteristic of Amsterdam, remained traditional in its teaching.

This paper traces the development of corporate citizenship as a way of framing business and society relations, and critically examines the content of contemporary understandings of the term. These conventional views of corporate citizenship are argued to contribute little or nothing to existing notions of corporate social responsibility and corporate philanthropy. The paper then proposes a new direction, which particularly exposes the element of "citizenship". Being a political concept, citizenship can only be reasonably understood from that theoretical angle. This suggests (...) that citizenship consists of a bundle of rights conventionally granted and protected by governments of states. However, the more that governmental power and sovereignty have come under threat, the more that relevant political functions have gradually shifted towards the corporate sphere – and it is at this point where "corporate" involvement into "citizenship" becomes an issue. Consequently, "corporate citizens" are substantially more than fellow members of the same community who cosily rub shoulders with other fellow citizens while bravely respecting those other citizens'' rights and living up to their own responsibility as corporations – as the conventional rhetoric wants us to believe. Behind this relatively innocuous mask then, the true face of corporate citizenship suggests that the corporate role in contemporary citizenship is far more profound, and ultimately in need of urgent reappraisal. (shrink)

Through close readings of excavated texts from Guōdiàn, this book provides a comprehensive analysis of the way in which meaning is produced in early Chinese philosophical texts. It is the first book on early China to cast light on the relationship between material conditions and ideas and shows how, in an evolving manuscript culture, texts were used by different social groups.

Our epistemic access to mathematical objects, like numbers, is mediated through our external representations of them, like numerals. Nevertheless, the role of formal notations and, in particular, of the internal structure of these notations has not received much attention in philosophy of mathematics and cognitive science. While systems of number words and of numerals are often treated alike, I argue that they have crucial structural differences, and that one has to understand how the external representation works in order to form (...) an advanced conception of numbers. The relation between external representations and mathematical cognition will be discussed by drawing on experimental results from cognitive science and mathematics education, and I argue for the constitutive role of external representations for the development of an advanced conception of numbers. (shrink)

This volume contains the proceedings of a conference on the Presocratic philosophers Pythagoras and Heraclitus. Investigated by a team of international scholars are key problems in doxography, Pythagorean Communities, logos, harmony, psychology, flux, number theory, ethics, and theology. Designed for all students of ancient philosophy, this volume will spur further investigations into these cardinal concerns of early Greek scientific thinkers.

In the context of some criticism about social responsibility education in business schools, the paper reports findings from a survey of CSR education (teaching and research) in Europe. It analyses the extent of CSR education, the different ways in which it is defined and the levels at which it is taught. The paper provides an account of the efforts that are being made to mainstream CSR teaching and of the teaching methods deployed. It considers drivers of CSR courses, particularly the (...) historical role of motivated individuals and the anticipation of future success being dependent on more institutional drivers. Finally it considers main developments in CSR research both by business school faculty and PhD students, tomorrow''s researchers and the resources devoted to CSR research. The conclusion includes questions that arise and further research directions. (shrink)

We show that the Bohmian approach in terms of persisting particles that move on continuous trajectories following a deterministic law can be literally applied to QFT. By means of the Dirac sea model – exemplified in the electron sector of the standard model neglecting radiation – we explain how starting from persisting particles, one is led to standard QFT employing creation and annihilation operators when tracking the dynamics with respect to a reference state, the so-called vacuum. Since on the level (...) of wave functions, both formalisms are mathematically equivalent, this proposal provides for an ontology of QFT that includes a dynamics of individual processes, solves the measurement problem and explains the appearance of creation and annihilation events. (shrink)