Plus que tout autre philosophe antique, Plotin semble mettre ses interprètes au défi de décrypter le fond de sa pensée. En effet, elle a l’air d’un système, mais le lecteur des Ennéades ne se voit pas livrer les structures conceptuelles principales qui doivent en assurer la cohérence. Emilsson s’est proposé le décryptage de certaines structures qui ont la fonction de principe conceptuel soit tout à fait général soit spécifique pour un champ thématique déterminé. Après avoir proposé une étude...

Wilfred Sieg and Dirk Schlimm. Dedekind's Analysis of Number: Systems and Axioms.

The incompleteness theorems constitute the mathematical core of Gödel’s philosophical challenge. They are given in their “most satisfactory form”, as Gödel saw it, when the formality of theories to which they apply is characterized via Turing machines. These machines codify human mechanical procedures that can be carried out without appealing to higher cognitive capacities. The question naturally arises, whether the theorems justify the claim that the human mind has mathematical abilities that are not shared by any machine. Turing admits that (...) non-mechanical steps of intuition are needed to transcend particular formal theories. Thus, there is a substantive point in comparing Turing’s views with Gödel’s that is expressed by the assertion, “The human mind infinitely surpasses any finite machine”. The parallelisms and tensions between their views are taken as an inspiration for beginning to explore, computationally, the capacities of the human mathematical mind. (shrink)

Thema der vorliegenden Arbeit ist der dialektische Gehalt der wichtigsten bildungstheoretischen Abhandlungen des padagogischen Theoretikers Josef Derbolav. Ergebnis der zum grossten Teil immanent durchgefuhrten Analyse ist der Aufweis, dass Derbolav die dialektische Fassung didaktischer, anthropologischer und handlungstheoretischer Prinzipien aufgrund metaphysischer Denkstrukturen nicht oder nur teilweise gelingt. Inwieweit einige dieser Prinzipien dialektisches Potential enthalten konnten, zeigt der Verfasser anhand der Entwicklung eines eigenen, an der hermeneutischen Philosophie orientierten dialektischen Standpunktes.".

Dedekind’s structuralism is a crucial source for the structuralism of mathematical practice—with its focus on abstract concepts like groups and fields. It plays an equally central role for the structuralism of philosophical analysis—with its focus on particular mathematical objects like natural and real numbers. Tensions between these structuralisms are palpable in Dedekind’s work, but are resolved in his essay Was sind und was sollen die Zahlen? In a radical shift, Dedekind extends his mathematical approach to “the” natural numbers. He creates (...) the abstract concept of a simply infinite system, proves the existence of a “model”, insists on the stepwise derivation of theorems, and defines structure-preserving mappings between different systems that fall under the abstract concept. Crucial parts of these considerations were added, however, only to the penultimate manuscript, for example, the very concept of a simply infinite system. The methodological consequences of this radical shift are elucidated by an analysis of Dedekind’s metamathematics. Our analysis provides a deeper understanding of the essay and, in addition, illuminates its impact on the evolution of the axiomatic method and of “semantics” before Tarski. This understanding allows us to make connections to contemporary issues in the philosophy of mathematics and science. (shrink)

Der Band untersucht die fünf Stellen des Hebräerbriefes, die herkömmlicherweise als Hinweise auf die Parusie Christi gedeutet werden (Hebr 1,6; 9,28; 10,25.36-39; 12,25-29). Ausgangspunkt ist die Feststellung, dass eine apokalyptische Rede von der Parusie zur übrigen Denkweise des Schreibens nicht recht passen will, die eher von einer mittelplatonischen Ontologie geprägt ist. Zur Auflösung dieser Spannung werden in Teil I die problematischen Stellen des Hebräerbriefes textimmanent analysiert und in Teil II mit relevanten Texten von Philon, Plutarch, Seneca und Alkinoos in Verbindung (...) gebracht, die ebenfalls eingehend analysiert werden. Teil III führt schließlich die Ergebnisse der ersten beiden Teile zusammen und macht eine mittelplatonische Umformung des Parusiegedankens durch den Autor des Hebräerbriefes plausibel. (shrink)

Abstract:The shutdown due to the COVID-19 pandemic has accelerated the implementation of digital technology to advance many new applications. Digital applications were believed to be indispensable for changes in learning environments and strategies that would enhance the capacity and quality of learning through focused motivation, communicative interaction, and stronger self-determination. This text will discuss prominent arguments for digital learning and digital technologies that might initiate a digital turn. To this end, this paper reflects on the psychological and mental conditions of (...) human learning, evaluates the potential opportunities of digital tools within the context of teaching and learning, and concludes with consequences for music learning in public schools. (shrink)

English summary: Does pastoral care require ethical competence in order to fulfil its task properly? And, conversely, to what extent does ethical reflection require feedback from pastoral experience in order to remain true to life and of practical relevance? Wilfried Sturm examines the way hospital pastors deal with ethical challenges and conflict situations in neonatal clinics and enquires into the insights that can be gained from them for the relationship of pastoral care and ethics. German description: Braucht Seelsorge ethische (...) Kompetenz, um ihrem Auftrag gerecht zu werden? Inwiefern bedarf umgekehrt die ethische Reflexion der Ruckkopplung an seelsorgerliche Erfahrung, um lebensnah und praxisrelevant zu bleiben? Wilfried Sturm untersucht den Umgang von Klinikseelsorgerinnen und -seelsorgern mit ethischen Herausforderungen und Konfliktsituationen in der Fruh- und Neugeborenenmedizin und fragt, welche Einsichten sich daraus fur das Verhaltnis von Seelsorge und Ethik gewinnen lassen. (shrink)

In this article we give a unifying approach to the theory of fundamental sequences and their related Hardy hierarchies of number-theoretic functions and we show the equivalence of the new approach with the classical one.

The Federation of Belgian companies is a confederation which groups 36 branch associations covering 30. 000 individual firms. About 85 % are small and medium-sizedfirms occupying less than 50 employees. The VBO/FEB is the most important exponent of the high degree of affiliation on the employers' side. The process of decision making reflects the structure of the federation. The mandate is defined in the board of the VBO/FEB, composed by a representative ofeach branch association. This representative holds his mandate on (...) the basis of the deliberations held in the elected board of his association. The guiding principle is consensus, which is not synonymous of unanimity. When a consistent and representative majority emerges from the debate, the members holding another opinion join that majority in a spirit ofemployers' solidarity. The decision making process aims in this way to combine efficiency and democracy. This is particularly important for the VBO/FEB, as that organisation not only acts as a lobby but also as a social partner able to conclude agreements. In the Belgian system, social partners are consulted by the authorities, because of their representativeness. It must however be clear that they may not interfere with the political decisions which in our democratic system rest with government and parliament. (shrink)

Das Werk ist die erste komplett an allen Gebieten der Physik systematisch ausgerichtete Darstellung der Geschichte der Physik. Geschrieben von einem erfahrenen Didaktiker seines Faches und als Ergebnis jahrzehntelanger Recherche soll dieses Buch ein tieferes Verständnis seines Faches vermitteln, als dies traditionelle Lehrbücher vermögen. Der rote Faden sind die Konzepte und Theoriebildungen, wie sie sich durch die Jahrhunderte nachzeichnen lassen. Das Ergebnis ist ein lebendig geschriebenes Fachbuch, das sich sowohl zum Lernen und Nachschlagen systematisch nutzen wie auch als packende Physikgeschichte (...) von der ersten bis letzten Seite spannend lesen lässt. (shrink)

Natural Formalization proposes a concrete way of expanding proof theory from the meta-mathematical investigation of formal theories to an examination of “the concept of the specifically mathematical proof.” Formal proofs play a role for this examination in as much as they reflect the essential structure and systematic construction of mathematical proofs. We emphasize three crucial features of our formal inference mechanism: (1) the underlying logical calculus is built for reasoning with gaps and for providing strategic directions, (2) the mathematical frame (...) is a definitional extension of Zermelo–Fraenkel set theory and has a hierarchically organized structure of concepts and operations, and (3) the construction of formal proofs is deeply connected to the frame through rules for definitions and lemmas. To bring these general ideas to life, we examine, as a case study, proofs of the Cantor–Bernstein Theorem that do not appeal to the principle of choice. A thorough analysis of the multitude of “different” informal proofs seems to reduce them to exactly one. The natural formalization confirms that there is one proof, but that it comes in two variants due to Dedekind and Zermelo, respectively. In this way it enhances the conceptual understanding of the represented informal proofs. The formal, computational work is carried out with the proof search system AProS that serves as a proof assistant and implements the above inference mechanism; it can be fully inspected at (see link below). (shrink)

This chapter contains section titled: Human Rights in Rawls's The Law of Peoples Human Rights as Universal Claim Rights Human Rights Minimalism and the Problem of Justification Acknowledgments Notes.

We still lack an operational theory for a complete analysis of early socialization processes. Bourdieu has stressed their bodily dimension but has done so at the expense of more symbolic aspects. This theoretical option corresponds to a very general goal of the Bourdieusian theory of practice: analysing sociality without suffering an intellectualist bias. However, symbolic activity and socializing language in particular can be approached as a practical phenomenon (i.e. habitual, informal, unconscious, etc.). From this viewpoint, the sociology of embodiment may (...) have much to learn from cultural psychology, which has focused on early language as it is naturally performed – when people speak to children, and when children speak. The work of cultural psychologists on the role of everyday words and narratives in the making of the self can be extended through a sociological ethnography of language. The features and interests of such an ethnography are discussed in the final section of the article, on the basis of fieldwork conducted in a nursery. This final development illustrates and analyses the concrete appropriation of caregiver injunctions by 2- to 3-year-old children. (shrink)

The earliest prints of the ‘Heroides’ (Savigliano? ca. 1470, Bologna 1471, Rome 1471, Mondovì 1473, Venice 1474, Parma 1477) each made use of their own manuscripts, which were lost subsequently. At 4.118, 5.71, 12.171, 14.82, 17.121, 20.13, variants preserved only in Bologna 1471 and its successors turn out to be superior to the text of all other extant sources. At 7.115, 19.151, 19.201, incunable editions support correct readings attested only weakly in our manuscripts. Many more variants from the prints deserve (...) close inspection. Based on these findings, the prints can be characterised in detail; in particular, Bologna 1471 proves to be a textual witness of outstanding value. A full list of variants is included. An appendix establishes that the early Treviso edition is dependent on Parma 1477 (shedding light nevertheless on the text of 9.160); it can be dated with good probability to 1478. (shrink)

Les vœux du nouvel an à la nation constituent un genre d’allocutions présidentielles traditionnellement rattachées aux grands discours du Président de la République. Le temps du bilan de l’année écoulée, de même que l’annonce de l’agenda politique pour l’année qui suit, sont autant de sujets dans la communication politique de l’Élysée pour s’adresser aux citoyens et leur parler d’eux-mêmes, du pays, du récit national en cours et à écrire. Le cas échéant, les vœux aux Français constituent une opportunité dans le (...) calendrier pour actualiser la vision ou le projet politique que porte le Président, renouveler aussi l’image de celui-ci dans le regard du citoyen. Cependant, la scène englobante d’énonciation infléchit ce genre discursif vers un certain lyrisme : la solennité du 31 décembre appelle en effet un temps de pause pour porter un regard réflexif sur l’expérience citoyenne empirique, en particulier sur le « faire commun » en tant que membre de la communauté nationale. Dans ce contexte d’énonciation, le discours du chef de l’État met donc en jeu et actualise l’imaginaire social collectif autour du sentiment d’appartenance à un destin national évocateur. Or, si le pathos est bien inscrit dans l’écriture des vœux du nouvel an à la nation, son emploi surprend l’auditeur ou le lecteur attentif car il déjoue l’empathie du Président envers le citoyen et réoriente l’usage de ces discours. La rhétorique du pathos dans les vœux a tendance au contraire à inverser le rapport d’identification et d’adhésion du citoyen à un projet pour la nation dicté par le chef de l’État. Et cette intention politique sous-jacente se joue notamment dans les ressorts stylistiques de la littérarité et dans le travail sur le verbe présidentiel prétendument lyrique et porteur d’une proposition de récit actualisé et souhaité au nom de et pour la nation française. (shrink)

In this rapid commentary, a mini-review is given of the present state-of-knowledge regarding the etiology and epidemiology of the new coronavirus 2019-nCoV and the risks for developing Acute respiratory distress syndrome. The available knowledge on the viral genomics, molecular biology and pathogenicity of viruses of the Coronaviridae family and other Nidovirales, forms a helpful template for understanding the present pandemic outbreak. However, important questions remain unanswered about the underlying mechanism causing the very high case fatality ratios and mechanisms regarding severe (...) reactions like ARDS, fatal cardiac and renal failures, associated with a number of important comorbidity factors. Immunological reactions to lung alveoles in particular in late phase ARDS in SARS-like CoV diseases, so far may not have received enough attention. Finally a shortlist of questions for high priority further research is suggested. (shrink)

Dedekind's mathematical work is integral to the transformation of mathematics in the nineteenth century and crucial for the emergence of structuralist mathematics in the twentieth century. We investigate the essential components of what Emmy Noether called, his ‘axiomatic standpoint’: abstract concepts, models, and mappings.

Seiner inzwischen weit verbreiteten Dogmatik (1995, 20073) lässt der emeritierte Heidelberger Systematische Theologe und Ethiker nunmehr eine Ethik folgen. Auch sie zeichnet sich aus durch Klarheit und Verständlichkeit der Sprache, durch biblisch-theologische Fundierung und ausgeprägten Gegenwartsbezug. Sie hat einen Grundlegungs- und einen Konkretisierungsteil. Der Grundlegungsteil führt in ethische Grundbegriffe, Theorien, Argumentationen und Urteilsbildung ein. Dabei kommen philosophische und theologische Zugangsweisen gleichermaßen zur Geltung. Der Anwendungsteil orientiert sich an konkreten, aktuellen Konzepten wie Menschenwürde; Gesundheit; Sexualität, Liebe und Lebensformen; Gerechtigkeit; Friede und (...) Sprache. Eine zusammenfassende Einführung in die evangelische Sozialethik schließt den Band ab. Bibelstellen-, Personen- und Begriffsregister sorgen für eine sehr gute Benutzbarkeit. Das Buch eignet sich sowohl für das Selbststudium wie auch als Textgrundlage in Lehrveranstaltungen. Studierende und Berufspraktiker in Schule und Pfarramt sowie interessierte Zeitgenossen finden hier verlässliche Informationen zu ethischen Fragen unserer Zeit und - vor allem - Anleitung zur eigenständigen ethischen Urteilsbildung. (shrink)

There is a tension between the idea of popular sovereignty and our understanding that basic constitutional rights and liberties have a normative authority which is independent from the results of democratic decision‐making procedures. On the one hand there is the claim that the content of political justice, at least as far as the basic liberties are concerned, is to be fixed solely by substantive moral and political argument, while on the other there is the claim that it is the people (...) who determine the specific scheme of basic liberties that they live under. The apparent tension between the two claims can be resolved by introducing, firstly, a distinction between the concept of justice and the concept of legitimacy and, secondly, between proto‐rights and constitutional rights. Unlike constitutional rights, proto‐rights are moral, not legal, rights, and they are less specific than constitutional rights: one set of proto‐rights allows for various schemes of legal constitutional rights. Proto‐rights are part of the principles of justice and can be established only by substantive argument while constitutional rights have to be established by the procedures of democratic legitimization, and, therefore, they are a result of the exercise of popular sovereignty. The correlated distinctions between justice and legitimacy, and between proto‐rights and constitutional rights, allow us to specify the scope of the two claims and, hence, to affirm both simultaneously. The philosophical and legal relevance of the distinctions made is elucidated by a brief discussion of the constitutional rights of freedom of speech in the US and Germany. (shrink)

Using the concept of notations for infinitary derivations we give an explanation of Takeuti's reduction steps on finite derivations (used in his consistency proof for Π1 1-CA) in terms of the more perspicious infinitary approach from [BS88].

Der vorliegende Band untersucht, welchen Einfluss wissenschaftliche Innovationen wie die Künstliche Intelligenz auf den Alltag haben. So wird die Beziehung von Wissenschaft und Öffentlichkeit unter den Aspekten der Verantwortung der Wissenschaftler/-innen, der Anwendung von Innovationen im öffentlichen Leben und der Wahrnehmung dieser Innovationen in der Öffentlichkeit beleuchtet.