Who should rule? -- The exercise of power : liberty -- Politics as activity : participation, deliberation, conflict -- The end of politics : the good life, a better world.

Coherence is demonstrated for categories with binary products and sums, but without the terminal and the initial object, and without distribution. This coherence amounts to the existence of a faithful functor from a free category with binary products and sums to the category of relations on finite ordinals. This result is obtained with the help of proof-theoretic normalizing techniques. When the terminal object is present, coherence may still be proved if of binary sums we keep just their bifunctorial properties. It (...) is found that with the simplest understanding of coherence this is the best one can hope for in bicartesian categories. The coherence for categories with binary products and sums provides an easy decision procedure for equality of arrows. It is also used to demonstrate that the categories in question are maximal, in the sense that in any such category that is not a preorder all the equations between arrows involving only binary products and sums are the same. This shows that the usual notion of equivalence of proofs in nondistributive conjunctive-disjunctive logic is optimally defined: further assumptions would make this notion collapse into triviality. (shrink)

Explores Aristotle's theory of the causes that give rise to stasis ('civic disorder'), and provides an original and systematic account of his understanding of political justice and friendship.

In Neither Physics Nor Chemistry, Kostas Gavroglu and Ana Simoes examine the evolution of quantum chemistry into an autonomous discipline, tracing its development from the publication of early papers in the 1920s to the dramatic changes ...

What was science for the Orthodox Greek theologian of the nineteenth century? How did it feature in his (theologians were all men at the time) own work? This article is an attempt to describe the science and religion interactions by placing Greek Orthodox theologians of the nineteenth century in the center of the historical narrative, rather than treat them as occasional deuteragonists in the scientists’ historiography. The picture that emerges is far more complicated than one of antagonism, indifference, conflict, or (...) coexistence. Greek theologians saw themselves as scientists and treated theology as a positive, rational science. They developed strategies to delineate their disciplinary borders and safeguard their identity as expert scholars by harnessing their university and academic credentials. For that reason, they had to invoke famous German and other Western theologians, while ensuring that they were seen as true defenders of Orthodox Christianity. The idea of science was an integral part of this achievement. (shrink)

Textbook descriptions of the foundations of Genetics give the impression that besides Mendel’s no other research on heredity took place during the nineteenth century. However, the publication of the Origin of Species in 1859, and the criticism that it received, placed the study of heredity at the centre of biological thought. Consequently, Herbert Spencer, Charles Darwin himself, Francis Galton, William Keith Brooks, Carl von Nägeli, August Weismann, and Hugo de Vries attempted to develop theories of heredity under an evolutionary perspective, (...) and they were all influenced by each other in various ways. Nonetheless, only Nägeli became aware of Mendel’s experimental work; it has also been questioned whether Mendel even had the intention to develop a theory of heredity. In this article, a short presentation of these theories is made, based on the original writings. The major aim of this article is to suggest that Mendel was definitely not the only one studying heredity before 1900, if he even did this, as may be inferred by textbooks. Although his work had a major impact after 1900, it had no impact during the latter half of the nineteenth century when an active community of students of heredity emerged. Thus, textbooks should not only present the work of Mendel, but also provide a wider view of the actual history and a depiction of science as a social process. (shrink)

This book presents analyses of philosophical topics of importance to biology education. It is intended foremost for biology educators and teachers, and aims to show how philosophy of science in general, and philosophy of biology in particular, ...

LetSbe the group of finitely supported permutations of a countably infinite set. Let$K[S]$be the group algebra ofSover a fieldKof characteristic 0. According to a theorem of Formanek and Lawrence,$K[S]$satisfies the ascending chain condition for two-sided ideals. We study the reverse mathematics of this theorem, proving its equivalence over$RC{A_0}$ to the statement that${\omega ^\omega }$is well ordered. Our equivalence proof proceeds via the statement that the Young diagrams form a well partial ordering.

Science appeared in modern Greece in the first decades after its establishment as a sovereign state in 1828. The University of Athens, the Royal Observatory, the Botanical Garden, and the Natural History Museum were quickly established as spaces of scientific activity. Greek scientists were enthusiastic participants in the emerging Greek public sphere, often not only as science experts, but also as poets, intellectuals and political personae. In a space whose cultural, intellectual and historical boundaries were still being negotiated, the choice (...) of language was not a given but a pressing, sensitive national desideratum. This article examines how Greek scientists used languages to communicate with their peers and with their publics, how they handled terminology and nomenclature, and how the issues surrounding the Greek language in particular affected their practice as scientists. The article aims to show that, in nineteenth-century Greece, languages were not passive, neutral vehicles of communication, but rather integral components of the practice of science. (shrink)

In three volumes, a distinguished group of scholars from a variety of disciplines in the natural and social sciences, the humanities and the arts contribute essays in honor of Robert S. Cohen, on the occasion of his 70th birthday. The range of the essays, as well as their originality, and their critical and historical depth, pay tribute to the extraordinary scope of Professor Cohen's intellectual interests, as a scientist-philosopher and a humanist, and also to his engagement in the world of (...) social and political practice. Science, Mind and Art, Volume III of Essays in honor of Robert S. Cohen focuses on issues in contemporary epistemology, aesthetics, and philosophy of mind as well as on the relations of science and human values in ethical and religious thought. It also has important new work in contemporary metaphysics, as well as in the history of philosophy, and on questions of multiculturalism in science education. Contributors include Paul Feyerabend, Adolf Grünbaum, Joseph Margolis, Joëlle Proust, Erazim Kohak, Elie Wiesel, Miriam Bienenstock, and John Silber, among others. (shrink)

Proof theory and category theory were first drawn together by Lambek some 30 years ago but, until now, the most fundamental notions of category theory have not been explained systematically in terms of proof theory. Here it is shown that these notions, in particular the notion of adjunction, can be formulated in such as way as to be characterised by composition elimination. Among the benefits of these composition-free formulations are syntactical and simple model-theoretical, geometrical decision procedures for the commuting of (...) diagrams of arrows. Composition elimination, in the form of Gentzen's cut elimination, takes in categories, and techniques inspired by Gentzen are shown to work even better in a purely categorical context than in logic. An acquaintance with the basic ideas of general proof theory is relied on only for the sake of motivation, however, and the treatment of matters related to categories is also in general self contained. Besides familiar topics, presented in a novel, simple way, the monograph also contains new results. It can be used as an introductory text in categorical proof theory. (shrink)

The book in front of you is the first international academic volume on the legal, philosophical and economic aspects of the rise of 3D printing. In recent years 3D printing has become a hot topic. Some claim that it will revolutionize production and mass consumption, enabling consumers to print anything from clothing, automobile parts and guns to various foods, medication and spare parts for their home appliances. This may significantly reduce our environmental footprint, but also offers potential for innovation and (...) creativity. At the same time 3D printing raises social, ethical, regulatory and legal questions. If individuals can print anything they want, how does this affect existing systems of intellectual property rights? What are the societal consequences of the various types of products one can print with a 3D printer, for example weapons? Should all aspects of 3D printing be regulated, and if so, how and to what ends? How will businesses (have to) change their way of working and their revenue model in light of the shift to printing-on-demand? How will the role of product designers change in a world where everyone has the potential to design their own products? These and other questions are addressed in high quality and in-depth contributions by academics and experts, bringing together a wide variety of academic discussions on 3D printing from different disciplines as well as presenting new views, broadening the discussion beyond the merely technical dimension of 3D printing. Bibi van den Berg is Associate Professor at eLaw, the Center for Law and Digital Technologies at Leiden University, The Netherlands. Simone van der Hof is Full Professor at eLaw in Leiden and Eleni Kosta is Associate Professor at TILT, the Tilburg Institute for Law, Technology and Society at Tilburg University, The Netherlands. (shrink)

This is an examination, a commentary, of links between some philosophical views ascribed to Gödel and general proof theory. In these views deduction is of central concern not only in predicate logic, but in set theory too, understood from an infinitistic ideal perspective. It is inquired whether this centrality of deduction could also be kept in the intensional logic of concepts whose building Gödel seems to have taken as the main task of logic for the future.

This article examines how new types of performance appraisal reconfigure everyday personal relationships at work. These systems deploy smartphone technologies to be used continuously by individuals to rate each other. Our aim is to show, in concrete terms, how these practices claim to configure a democratic space where individuals are liberated to express their views about each other’s work. On the contrary, we argue that by being placed in continuous confrontation with each other’s ratings, the genuine space for democratic contestation, (...) for the establishment of a genuine community, as well as for critique and dissent is—paradoxically—narrowed down. The first section of this article explores the context in which managerialism has become consolidated at the centre of neo-liberal politics in a dialogue with some of Mouffe’s and Rancière’s arguments. We use Rancière’s concept of “policing” to understand how managerial techniques subvert genuine democratic spaces, modes of participation and expression. Using performance appraisal systems as an example, the second part of the article provides a critical investigation which shows how managerialism intervenes at the very roots of possible democratic engagement and undermines dissent in subtle ways. (shrink)

It is proved that all the isomorphisms in the cartesian category freely generated by a set of objects can be written in terms of arrows from the symmetric monoidal category freely generated by the same set of objects. This proof yields an algorithm for deciding whether an arrow in this free cartesian category is an isomorphism.

The romance Imberios and Margarona does not belong to the Renaissance. It does not acknowledge many of the issues which become current in the age of Humanism: the value of individual consciousness, to name but one, will wait until the seventeenth century to be explored in Greek literature. And yet, the vintage of Imberios is hybrid: being late medieval and modelled after a popular European prototype, it slants ever so gently towards what will later be fully fledged humanistic sensibilities.

The romance Imberios and Margarona does not belong to the Renaissance. It does not acknowledge many of the issues which become current in the age of Humanism: the value of individual consciousness, to name but one, will wait until the seventeenth century to be explored in Greek literature. And yet, the vintage of Imberios is hybrid: being late medieval and modelled after a popular European prototype, it slants ever so gently towards what will later be fully fledged humanistic sensibilities.

In standard model theory, deductions are not the things one models. But in general proof theory, in particular in categorial proof theory, one finds models of deductions, and the purpose here is to motivate a simple example of such models. This will be a model of deductions performed within an abstract context, where we do not have any particular logical constant, but something underlying all logical constants. In this context, deductions are represented by arrows in categories involved in a general (...) adjoint situation. To motivate the notion of adjointness, one of the central notions of category theory, and of mathematics in general, it is first considered how some features of it occur in set-theoretical axioms and in the axioms of the lambda calculus. Next, it is explained how this notion arises in the context of deduction, where it characterizes logical constants. It is shown also how the categorial point of view suggests an analysis of propositional identity. The problem of propositional identity, i.e., the problem of identity of meaning for propositions, is no doubt a philosophical problem, but the spirit of the analysis proposed here will be rather mathematical. Finally, it is considered whether models of deductions can pretend to be a semantics. This question, which as so many questions having to do with meaning brings us to that wall that blocked linguists and philosophers during the whole of the twentieth century, is merely posed. At the very end, there is the example of a geometrical model of adjunction. Without pretending that it is a semantics, it is hoped that this model may prove illuminating and useful. (shrink)

The generality of a derivation is an equivalence relation on the set of occurrences of variables in its premises and conclusion such that two occurrences of the same variable are in this relation if and only if they must remain occurrences of the same variable in every generalization of the derivation. The variables in question are propositional or of another type. A generalization of the derivation consists in diversifying variables without changing the rules of inference.This paper examines in the setting (...) of categorial proof theory the conjecture that two derivations with the same premises and conclusions stand for the same proof if and only if they have the same generality. For that purpose generality is defined within a category whose arrows are equivalence relations on finite ordinals, where composition is rather complicated. Several examples are given of deductive systems of derivations covering fragments of logic, with the associated map into the category of equivalence relations of generality.This category is isomorphically represented in the category whose arrows are binary relations between finite ordinals, where composition is the usual simple composition of relations. This representation is related to a classical representation result of Richard Brauer. (shrink)

A number of issues related to the challenges menacing the future of history of science are discussed. It has become increasingly more difficult to engage scientists in the ways historians of science deal with their subjects, while at the same time the implicit historiography of science textbooks has created an ideology among scientists that makes such engagement even more strenuous. An additional complication is the deep belief of many scientists in anachronism. Another threatening prospect is the instrumentalist view held by (...) funding bodies whereby the social sciences and humanities have to explore ways in which they can respond successfully to societal needs. (shrink)

How happy it is to recall Imre Lakatos. Now, fifteen years after his death, his intelligence, wit, generosity are vivid. In the Preface to the book of Essays in Memory of Imre Lakatos, the editors wrote:... Lakatos was a man in search of rationality in all of its forms. He thought he had found it in the historical development of scientific knowledge, yet he also saw rationality endangered everywhere. To honor Lakatos is to honor his sharp and aggressive criticism as (...) well as his humane warmth and his quick wit. He was a person to love and to struggle with. The book before us carries old and new friends of that Lakatosian spirit further into the issues which he wanted to investigate. That the new friends include a dozen scientific, historical and philosophical scholars from Greece would have pleased Lakatos very much, and with an essay from China, he would have smiled all the more. But the key lies in the quality of these papers, and in the imaginative organization of the conference at Thessaloniki in summer 1986 which worked so well. (shrink)

This paper presents an emerging aspect of intentionality through recent Artificial Intelligence (AI) developments in art and design. Our main thesis is that, if we focus just on the outcome of the artistic process, the intentionality of the artist does not have any relevance. Intention is measured as a result of actions regardless of whether they are human-based or not as long as there is an esthetical value intersubjectively acknowledged. In other words, what matters is the ‘intentio’ embedded in the (...) work of art (the output) rather than the ‘intendere’ (the process). By considering the former aspect, intentionality becomes free of human intervention, therefore 'unintentional'. This thesis is supported through a range of examples related to AI in general and AI art in particular. However, in the case of a self-driving vehicle, the macro-goal of the system is fixed by humans, even though the AI system itself will take care of decomposing the macro-goal into a set of micro-goals and take the corresponding decisions. In the case of art, the system does not need to have any exterior goal to the extent that art is pure freedom of expression, as many philosophers have acknowledged. In this sense, the decisions of any AI system generating art or design are independent of humans and must be judged only on the ground of the final outcome. A work of art will be judged ‘artistic’ to the extent that humans will recognize an artistic intent in the work itself. In particular, the introduction of random processes makes an AI-generated artwork fully independent of human creativity. (shrink)

Ambient Intelligence provides the potential for vast and varied applications, bringing with it both promise and peril. The development of Ambient Intelligence applications poses a number of ethical and legal concerns. Mobile devices are increasingly evolving into tools to orientate in and interact with the environment, thus introducing a user-centric approach to Ambient Intelligence. The MINAmI (Micro-Nano integrated platform for transverse Ambient Intelligence applications) FP6 research project aims at creating core technologies for mobile device based Ambient Intelligence services. In this (...) paper we assess five scenarios that demonstrate forthcoming MINAmI-based applications focusing on healthcare, assistive technology, homecare, and everyday life in general. A legal and ethical analysis of the scenarios is conducted, which reveals various conflicting interests. The paper concludes with some thoughts on drafting ethical guidelines for Ambient Intelligence applications. (shrink)

The article deals with the legal, political, philosophical and religious dimensions of Socrates’ trial and execution. It considers the issue in five separate aspects: 1) the validity of charging Socrates with impiety and corrupting the youth of the Athens; 2) the legal basis of the philosopher’s indictment; 3) the then manner of conducting a legal trial in the Athens; 4) the extent to which Socrates’ conviction can ultimately be characterized as unjust and — finally — 5) the cultural ramifications of (...) the philosopher’s trial and execution. (shrink)