We analyse the connection between the computability and continuity of functions in the case of homomorphisms between topological algebraic structures. Inspired by the Pour-El and Richards equivalence theorem between computability and boundedness for closed linear operators on Banach spaces, we study the rather general situation of partial homomorphisms between metric partial universal algebras. First, we develop a set of basic notions and results that reveal some of the delicate algebraic, topological and effective properties of partial algebras. Our main computability concepts (...) are based on numerations and include those of effective metric partial algebras and effective partial homomorphisms. We prove a general equivalence theorem that includes a version of the Pour-El and Richards Theorem, and has other applications. Finally, the Pour-El and Richards axioms for computable sequence structures on Banach spaces are generalised to computable partial sequence structures on metric algebras, and we prove their equivalence with our computability model based on numerations. (shrink)

We analyse the connection between the computability and continuity of functions in the case of homomorphisms between topological algebraic structures. Inspired by the Pour-El and Richards equivalence theorem between computability and boundedness for closed linear operators on Banach spaces, we study the rather general situation of partial homomorphisms between metric partial universal algebras. First, we develop a set of basic notions and results that reveal some of the delicate algebraic, topological and effective properties of partial algebras. Our main computability concepts (...) are based on numerations and include those of effective metric partial algebras and effective partial homomorphisms. We prove a general equivalence theorem that includes a version of the Pour-El and Richards Theorem, and has other applications. Finally, the Pour-El and Richards axioms for computable sequence structures on Banach spaces are generalised to computable partial sequence structures on metric algebras, and we prove their equivalence with our computability model based on numerations. (shrink)

An algebra is effective if its operations are computable under some numbering. When are two numberings of an effective partial algebra equivalent? For example, the computable real numbers form an effective field and two effective numberings of the field of computable reals are equivalent if the limit operator is assumed to be computable in the numberings . To answer the question for effective algebras in general, we give a general method based on an algebraic analysis of approximations by elements of (...) a finitely generated subalgebra. Commonly, the computable elements of a topological partial algebra are derived from such a finitely generated algebra and form a countable effective partial algebra. We apply the general results about partial algebras to the recursive reals, ultrametric algebras constructed by inverse limits, and to metric algebras in general. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. (shrink)

The period in the foundations of mathematics that started in 1879 with the publication of Frege's Begriffsschrift and ended in 1931 with Gödel's Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I can reasonably be called the classical period. It saw the development of three major foundational programmes: the logicism of Frege, Russell and Whitehead, the intuitionism of Brouwer, and Hilbert's formalist and proof-theoretic programme. In this period, there were also lively exchanges between the various schools culminating in (...) the famous Hilbert-Brouwer controversy in the 1920s. -/- The purpose of this anthology is to review the programmes in the foundations of mathematics from the classical period and to assess their possible relevance for contemporary philosophy of mathematics. What can we say, in retrospect, about the various foundational programmes of the classical period and the disputes that took place between them? To what extent do the classical programmes of logicism, intuitionism and formalism represent options that are still alive today? These questions are addressed in this volume by leading mathematical logicians and philosophers of mathematics. (shrink)

Stoltenberg, G. Freies und imperatives Mandat.--Kaltefleiter, W. und Veen, H.-J. Von der Demokratie zur Delegiertenherrschaft.--Bromme, P. Meinungsfreiheit in der parlamentarischen Demokratie.

The aim of this essay is to reflect on the place and importance of the question of address and to show how it comes to the fore in Søren Kierkegaard’s writings. What shall be attempted, with regard to Kierkegaard’s already widely recognized renown as an existential thinker, is to catch a glimpse of issues that make up the larger background in which the question of address is embedded. In doing so, the essay explores several features of Kierkegaard’s inquiry into the (...) question of existence in the Concluding Unscientific Postscript and connect them with the notion of the reader. This latter notion provides a way of understanding the singularity of voice, while offering an account of the testimony to existence. After a brief recapitulation, the essay identifies in conclusion unresolved issues relating to speech, silence, confidentiality, and listening. (shrink)

This essay aims to outline in what ways Kierkegaard’s thinking of existence not only brings into view a concept of existence, but, more fundamentally, enables one to locate an opening to questioning anew the relation of thinking and existence. This thinking of existence does not seek to dissolve existence into knowledge but aims at intensifying the question of a thinking grounded not in the conclusion made in “an external relation between a knower and a non-knower” of which non-knowledge is the (...) negative determination of knowledge, but rather of a thinking grounded in existence. (shrink)

In an introduction to tbe tbeology and moral pbilosopby of tbe Danisb tbinker, K. E. Legstrup, tbe starting point ist taken in bis on pbenomenological basis developed pbilosopby of creation. Tbe vibrant discussion in Denmark in tbe fifties between K. E. Legstrup an N. H. See conceming a specific cbristian etbics is evaluated and it is sbown bow Legstcups etbical tbinking developed in two directions. On tbe one band be expands bis pbilosopby of creation into metapbysical reflections in order to (...) substantiate bis solution to tbe problern of tbe foundations of etbics. On tbe otber band be anticipates a development towards applied etbics. (shrink)

An anthology of the most important historical sources, classical and modern, on the subjects of presumptions and burdens of proof In the last fifty years, the study of argumentation has become one of the most exciting intellectual crossroads in the modern academy. Two of the most central concepts of argumentation theory are presumptions and burdens of proof. Their functions have been explicitly recognized in legal theory since the middle ages, but their pervasive presence in all forms of argumentation and in (...) inquiries beyond the law--including politics, science, religion, philosophy, and interpersonal communication--have been the object of study since the nineteenth century. However, the documents and essays central to any discussion of presumptions and burdens of proof as devices of argumentation are scattered across a variety of remote sources in rhetoric, law, and philosophy. Presumptions and Burdens of Proof: An Anthology of Argumentation and the Law brings together for the first time key texts relating to the history of the theory of presumptions along with contemporary studies that identify and give insight into the issues facing students and scholars today. The collection's first half contains historical sources and begins with excerpts from Aristotle's Topics and goes on to include the locus classicus chapter from Bishop Whately's crucial Elements of Rhetoric as well as later reactions to Whately's views. The second half of the collection contains contemporary essays by contributors from the fields of law, philosophy, rhetoric, and argumentation and communication theory. These essays explore contemporary understandings of presumptions and burdens of proof and their role in numerous contexts today. This anthology is the definitive resource on the subject of these crucial rhetorical modes and will be a vital resource to all scholars of communication and rhetoric, as well as legal scholars and practicing jurists. (shrink)

In this essay I will examine the various ways in which the concept of decision emerges in the writings of Kierkegaard focusing mainly on the Philosophical Fragments and the Postscript. This prepares the way for revisiting Kierkegaard’s concept of decision. Doing so indicates the radical way in which Kierkegaard connects the concept of decision to an aporia. The crucial existential concept of decision not only concerns the difficulty, or even the impasse, pertaining to knowledge, but also relates to the question (...) of how the singular finds his or her own way through existence. (shrink)

Although written more than 2,500 years ago and within a radically different culture, the Tao Te Ching's concepts and teachings have become more influential in the West than ever before. Laozi, the Chinese sage and founder of Taoism, sets out a path (tao) that allows us to tune in to the nature of the universe. His axioms are intended to help us achieve transcendence and a life of integrity and balance: they explore the importance of male and female complementary qualities (...) while praising self-knowledge and criticizing rational understanding. Among his insights are the beliefs that flexibility and suppleness are superior to rigidity and strength, and that self-absorption and self-importance are vain and destructive. This illustrated edition of a classic work is an essential addition to any home library of the world's classic philosophical texts. (shrink)

Gilles de la Tourette syndrome (TS) is a childhood neuropsychiatric disorder characterised by the presence of motor and vocal tics. Patients with malignant TS experience severe disease sequelae; risking morbidity and mortality due to tics, self-harm, psychiatric comorbidities and suicide. By definition, those cases termed ‘malignant’ are refractory to all conventional psychiatric and pharmacological regimens. In these instances, deep brain stimulation (DBS) may be efficacious. Current 2015 guidelines recommend a 6-month period absent of suicidal ideation before DBS is offered to (...) patients with TS. We therefore wondered whether it may be ethically justifiable to offer DBS to a minor with malignant TS. We begin with a discussion of non-maleficence and beneficence. New evidence suggests that suicide risk in young patients with TS has been underestimated. In turn, DBS may represent an invaluable opportunity for children with malignant TS to secure future safety, independence and fulfilment. Postponing treatment is associated with additional risks. Ultimately, we assert this unique risk-benefit calculus justifies offering DBS to paediatric patients with malignant TS. A multidisciplinary team of clinicians must determine whether DBS is in the best interest of their individual patients. We conclude with a suggestion for future TS-DBS guidelines regarding suicidal ideation. The importance of informed consent and assent is underscored. (shrink)

La science du bien et du mal n'a jamais existé, et si Platon s'en désolait, nous avons cessé, nous, les Modernes, de nous en offusquer. Et pourtant, des questions d'ordre éthique nous sont incessamment posées aujourd'hui, ni plus ni moins que par le passé: quelles valeurs morales devons-nous promouvoir à l'école? Est-il acceptable d'abandonner à leur sort les familles de migrants fuyant la guerre? Notre pays, la France, doit-il intervenir militairement contre tel ou tel État dit "terroriste"?, etc. Face à (...) de telles interrogations, nous ne pouvons nous contenter de suspendre notre jugement sous couvert de relativisme ("À chacun sa conception du bien et du mal"). Prenant appui sur les réflexions de grands philosophes et théologiens face au défi du mal, tout en interrogeant la montée de nouvelles formes de violences au XXIe siècle, Laurence Hansen-Love pose la question: le bien et le mal sont-ils vraiment des notions obsolètes? Une fois récusée la fausse évidence d'une symétrie entre le bien et le mal, il est possible de prendre acte de la préséance du mal sur le bien. Dès lors, la certitude du mal, posée comme un fait, cesse de contredire l'incertitude du bien, à laquelle il apparaît sage de se résoudre."--Page 4 of cover. (shrink)

La planète est exténuée. L'humanité dans son ensemble traverse une mauvaise passe. A tel point que certains chercheurs professent l'effondrement, voire la fin de notre civilisation. Ces lanceurs d'alerte cosmique ne sont pas de simples illuminés. Ils comptent parmi eux des intellectuels de renom et des savants influents. Dans le même état d'esprit, des ingénieurs futuristes, anticipant une évolution qu'ils jugent inéluctable, programment le remplacement de notre espèce par des créatures hybrides d'un nouveau genre, humains augmentés ou améliorés. Demain, assurent-ils, (...) la "Singularité" assurera la relève du genre humain. L'ère du posthumanisme serait déjà entamée. Faut-il s'en féliciter? Laurence Hansen-Love expose ici les tenants et les aboutissants d'un débat qui nous concerne tous et dont les enjeux sont vertigineux. (shrink)

Yoga is the exercise of choice for so many because it makes you feel great in body and mind. But modern images of yoga have long featured the same kinds of bodies--white, slim, young, cis-gendered, able. Harmony Willow Hansen knows that a celebration of every kind of body brings more joy and inclusivity to all of us. She has been drawing joyful people in practice for years, creating a presence on Instagram that reaches hundreds of thousands of yoga lovers. (...) Her figures include older people, trans people, differently-abled people, people in different body types and weights. Harmony's art is all about bodies where anyone can find themselves and feel seen. Here are an array of positions including beginner poses, seated and low poses, lying down poses, standing poses, and partner poses, as well as prenatal and children's poses and flow. Readers will share in the ease and confidence that radiate from these yogis. An ideal gift for any yoga lover."--Amazon. (shrink)

Restrictions on research on therapeutic cloning are questionable as they inhibit the development of a technique which holds promise for succesful application of pluripotent stem cells in clinical treatment of severe diseases. It is argued in this article that the ethical concerns are less problematic using therapeutic cloning compared with using fertilised eggs as the source for stem cells. The moral status of an enucleated egg cell transplanted with a somatic cell nucleus is found to be more clearly not equivalent (...) to that of a human being. Based on ethical considerations alone, research into therapeutic cloning should be encouraged in order to develop therapeutic applications of stem cells. (shrink)

Worin liegt die Bedeutung randständiger Dinge für kulturbildende Prozesse? Der Band untersucht ästhetische Entwürfe und theoretische Konzeptualisierungen materieller Peripherien vom 19. Jahrhundert bis in die Gegenwart. Diese werden anhand spezifischer Objekt- und Materialkategorien wie Plunder, Lumpen, Müll oder Makulatur verhandelt und differenziert. Indem literatur-, sozial- und kulturwissenschaftliche Perspektiven miteinander verbunden werden, findet eine interdisziplinäre Bearbeitung des Themas statt. Erörtert werden historisch variable Funktionen, die randständige Materialitäten in poetologischen, soziologischen und politischen Kontexten durch kulturell forcierte Auf- und Abwertungsakte übernehmen. Das Ausloten (...) von Darstellungsmöglichkeiten und -grenzen gesellschaftlich marginalisierter Dinge legt zudem ihr besonderes ästhetisches Potenzial frei."--Back cover. (shrink)

[1]. [no special title] -- 2. [no special title].

Meaning systems and psychological suffering -- Conceptualizations of meaning system -- Meaning systems and mental health culture -- Contemporary culture and objectification -- Training for talk therapists.

A careful reading of Plato's works show that Thrasymachus and Callicles, his famous immoralists, are unselfconsciously devoted to virtue as they see it. They thereby offer surprising support for the view that people are not simply self-interested, and they cast light on the beliefs and hopes we all have of justice.